CORDIS fournit des liens vers les livrables publics et les publications des projets HORIZON.
Les liens vers les livrables et les publications des projets du 7e PC, ainsi que les liens vers certains types de résultats spécifiques tels que les jeux de données et les logiciels, sont récupérés dynamiquement sur OpenAIRE .
Livrables
Within collaboration of UM, DU, and MC, we will analyse ESS properties, convergence stability, and neighbourhood invader stability of the studied game both analytically for its general form and numerically for its specific instances. The transient dynamics will be studied using standard techniques from dynamical systems theory.
Investigations of the effects of time delays on evolution of games on graphs (s’ouvre dans une nouvelle fenêtre)Here we shall study joint effects of stochasticity and time delays on evolutionary games on graphs, especially on random ones. We will develop deterministic and stochastic models of a mean-field type to effectively approximate stochastic evolution of spatial games. This will allow us to study analytically cooperation levels in various games, including multiplayer ones, in various spatial set-ups.
Models of cooperation in structured populations-part 1 (s’ouvre dans une nouvelle fenêtre)We will build on independent models and Markov models to explore the conditions when the evolution of cooperation is favoured Erovenko et al have found initial structural properties which support cooperation and within this task a more thorough investigation of these and other properties will be carried out also building other works considering a wide range of multiplayer cooperative games
Node-embedding methods for temporal networks in the context of epidemiology (s’ouvre dans une nouvelle fenêtre)In this task, we will explore node-embedding methods aimed at exposing in the low-dimensional space structural features and relevant patterns of the network that are not necessarily evident in the network representation [75]. In the context of specific dynamical process such as epidemic spread over temporal networks – in which network nodes exist in few discrete states and the dynamics consists of transitions between such states (e.g., a “susceptible” node becoming “infectious”) – we will focus on the task of predicting the nodes’ states over time for a single realization of the epidemic process in a multi-label classification setting. This goal might have important implications such as for example estimating the temporal evolution of the entire system from sparse observations, consistently across several data sets and across a broad range of parameters of an epidemic model.
Analysis of relations between modularity and system stability (s’ouvre dans une nouvelle fenêtre)Evolutionary processes typically are non-linear, path-dependent, non-equilibrium processes, performing work to fix information by sampling hereditary processes that survive as strategies co-evolving elements (individuals, species, genes, etc.) in the system can play. In large systems of diverse types of players also the overall dynamical stability becomes a crucial evolutionary constraint. Systemic instabilities can ostracize the system in its entire composition. It becomes important to ask how a systemically sustainable dynamics translates to the shape of the attractor landscape, i.e. the emergence of context sensitive strategy selection (e.g. tagged zero-determinant games) and the topology of relations between players. We will study isomorphism between system structure (parameters) and dynamics by information theoretic means, building on an ensemble framework we have already used extensively in the past to study a system’s Lyapunov spectrum and the so called “edge-of-chaos” [93].
Models focusing on different levels of selection (s’ouvre dans une nouvelle fenêtre)This research will be based on existing models developed to model social interactions [83] and molecular cooperation at the origin of life [84]. We will develop novel, stochastic models, involving matrix games based on either replicator dynamics for larger groups or numerical simulations for small and/or structured groups. In the envisaged models, individuals within a group face a social dilemma (e.g. Public Goods Game, Snowdrift Game, envy game, kleptoparasitism) and their individual payoffs determine their within-group success. But the groups also compete, and in that competition cooperative individuals contribute more than selfish ones. Our main question is what kind of conditions are conductive for the maximization of the total payoff (welfare) of the group.
Adaptive therapy in ovarian cancer (s’ouvre dans une nouvelle fenêtre)In research carried out at QM on ovarian cancer, carrying capacities of cancer populations can be tuned, leading to a competition between tumour cells as well as inducing their trade-offs. However, in vivo cancer populations may not reach their carrying capacities. QM, in collaboration with MC and AB, we will study the nature of these in vivo games to make the possible success of adaptive therapy for ovarian cancer. The models in this task may be specific instances of those for Tasks 3.1 and 3.2.
Communication and public engagement framework (s’ouvre dans une nouvelle fenêtre)Report outlining our communication and publication strategy
Application to pathogen evolution data (s’ouvre dans une nouvelle fenêtre)The interactions between the immunology within a host, the epidemiology in a population, and the evolution of the pathogen are too complex to be captured by traditional compartmental models68. Hence, there is a need to develop more advanced mathematical models, possibly hybrid systems, that allow a realistic study of infectious diseases dynamics where the immunity of the hosts is waning due to the evolution of the circulating pathogen. Combining different types of nonlinear equations, such as, partial, functional differential equations or integral equations within one system poses great challenges in their analysis, parameter estimation and their integration with data driven approaches.
Model of pre-metastatic prostate cancer and its treatment (s’ouvre dans une nouvelle fenêtre)Two challenges still impair the stratification and personalised treatment of prostate cancer patients: 1) the high heterogeneity at clinical and genetic levels in comparison with other cancer types96,97, 2) the little knowledge about the underlying cellular and molecular dynamics along prostate tumour evolution. CR recently identified as castration-resistant prostate subpopulation marked by LY6D, which is associated with the initiation of CRPC98. Notably, these LY6D+ cells may have a role coordinating the immune response. Based on the preliminary work we hypothesize that a cross-talk between pre-existent ADT-resistant tumour (LY6D+), ADT-sensitive (LY6D-) and immune cells (“good” and “bad” immune cells) exists even before the clinically apparent CRPC, and modulate the game dynamics. Our experimental models will initially feed the SEGs to model the cellular dependencies of androgen-dependent and sensitive clones to avoid the selection of a clone able to initiate metastasis. Then, we will test them with data from the lab ex-vivo from our organotypic models, as well as in pre-clinical in vivo models and analyse what immunotherapy treatment would be the best.
Build versions of the above models with application to work packages WP2-WP4 (s’ouvre dans une nouvelle fenêtre)Here we shall build on the above objectives, emerging models from the other WPs and existing models connected to the FourCModelling grant to build a suite of models that incorporates one or more of the other work packages. Strong connections already exist between epidemic models (WP4) and structured population models as described within Deliverable 1.4 and in recent work applying corresponding computational methods to multiplayer structured populations [87]. Similarly, we have recently developed structured models involving time constraints [88,89] and this will tie in closely with work developed in Deliverable 1.5.
Stackelberg evolutionary games of cancer treatment -part 2 (s’ouvre dans une nouvelle fenêtre)This approach will be based on the recent research [44,54], where the cancer therapy was framed as a Stackelberg game with the physician as the leader maximizing patient quality of life and choosing treatments and their doses, while cancer cells as followers in this game evolve resistance to the applied treatments in order to maximize their fitness. Expanding of this theory combining classical and evolutionary games will be done in collaboration between all beneficiaries within this WP where specific cancers will be conceptualized during ESRs’ secondments at MC, CR, and AB.
Robust learning methods, also based on new metrics for simulation ensembles (s’ouvre dans une nouvelle fenêtre)Simulation ensembles are important as reference elements (i.e., potential data sets) against which natural (epidemic) systems will be developed. Time varying dynamical models require to develop efficient sampling algorithms that, with limited available simulation budget (and therefore inherently sparse model results), allow to capture the main characteristics of the system of interest. The problem becomes to efficiently and effectively sample their associated high dimensional parameter spaces [73]. We will use new metrics to build ensembles that account for interpretability, complexity and ensure diversity along with traditional fit measures. The problem of identifying ensemble models that maximise these scores and optimally sample the configuration space, becomes a difficult highly non-linear problem requiring advanced analysis and optimization techniques to be used. We will adopt a novel class of loss functions for model learning problems where data and ensembles are inherently sparse and it is critical to generate sampling algorithms that are strongly biased towards critical parameter configurations in order to guarantee a certain level of coverage while maintaining standard performance in terms of fit.
Stackelberg evolutionary games of cancer treatment-part 1 (s’ouvre dans une nouvelle fenêtre)This approach will be based on the recent research 4454 where the cancer therapy was framed as a Stackelberg game with the physician as the leader maximizing patient quality of life and choosing treatments and their doses while cancer cells as followers in this game evolve resistance to the applied treatments in order to maximize their fitness Expanding of this theory combining classical and evolutionary games will be done in collaboration between all beneficiaries within this WP where specific cancers will be conceptualized during ESRs secondments at MC CR and AB
Support data- and GT model-driven learning (s’ouvre dans une nouvelle fenêtre)Models and computer simulations that take into account available domain knowledge, in addition to past data and observations, represent a promising approach in understanding and predicting complex dynamic processes [71]. Analysis of complex natural and human-based systems relies on incomplete data sets for validation and prediction of their behaviour. Hence, the need for data- and model-driven simulations and analysis is part of the overall decision-making process. We will develop a learning framework suitable for the extremely complicated dynamics of the highly heterogeneous systems interconnected under epidemic scenarios, varying in spatial and temporal scales. We will then extend these methods to account for the presence of sparse, noisy observations from the real-world and sparse model-driven ensembles.
Exploitation plan (s’ouvre dans une nouvelle fenêtre)Exploitation plan outlining our exploitation strategy
Models of interaction networks -part 2 (s’ouvre dans une nouvelle fenêtre)Whereas many current models of population interactions explore food web dynamics, where individuals at a higher trophic level forage on individuals on the lower trophic level and compete with individuals at the same trophic level, there are many other interactions not considered by such food web models [66]. These latter interactions include, e.g., host-parasitoid, host-pathogen and plant-pollinator interactions. We will study effects of behavioural, ecological and/or evolutionary dynamics on biodiversity in such interaction networks. We will combine methods of EGT with differential equations as well as agent-based simulations that allow for heterogeneity in a range of individual characteristics.
Journal Club Result: Review article (s’ouvre dans une nouvelle fenêtre)All ESRs and PIs will write together EvoGamesPlus review article.
Potential inputs for policy feedback (s’ouvre dans une nouvelle fenêtre)In this report, we will describe potential inputs for policy feedback.
Theory of multiplayer games; specific instances in the social and eco-evolutionary context (s’ouvre dans une nouvelle fenêtre)We shall extend the theory of multiplayer games [85,13] to include the recently developed theories of time delays and multiple evolutionary games [86] into a single coherent framework. The dynamic properties (fixation probabilities, fixation time and long-term abundances under mutation-selection balance) can be instructive to the mathematically keen whereas the static properties (number of equilibria, stability and equilibrium selection) can be useful in a social and biological context. Studying multiple games allows us to move a bit closer to reality where individuals not only employ multiple strategies and interact with multiple individuals but also take part in multiple interactions. The interactions could be instantaneous or time-delayed or possibly spatially constricted, which would provide a link with the other work packages in this application. We envision the applications of this theoretical development to span the fields of social evolution (cooperation, bargaining) to classical ecology (community dynamics, animal personalities) to evolutionary biology (polygenic trait evolution, interactions between life-history traits).
Models of interaction networks-part 1 (s’ouvre dans une nouvelle fenêtre)Whereas many current models of population interactions explore food web dynamics where individuals at a higher trophic level forage on individuals on the lower trophic level and compete with individuals at the same trophic level there are many other interactions not considered by such food web models 66 These latter interactions include eg hostparasitoid hostpathogen and plantpollinator interactions We will study effects of behavioural ecological andor evolutionary dynamics on biodiversity in such interaction networks We will combine methods of EGT with differential equations as well as agentbased simulations that allow for heterogeneity in a range of individual characteristics
Study of the dynamical and structural stability of evolutionary multiplayer games- part 1 (s’ouvre dans une nouvelle fenêtre)Whereas many current models of population interactions explore food web dynamics where individuals at a higher trophic level forage on individuals on the lower trophic level and compete with individuals at the same trophic level there are many other interactions not considered by such food web models 66 These latter interactions include eg hostparasitoid hostpathogen and plantpollinator interactions We will study effects of behavioural ecological andor evolutionary dynamics on biodiversity in such interaction networks We will combine methods of EGT with differential equations as well as agentbased simulations that allow for heterogeneity in a range of individual characteristics
Progress Report (s’ouvre dans une nouvelle fenêtre)Decription of the progress in the first year of the project
SEGs in space (s’ouvre dans une nouvelle fenêtre)Within collaboration of UM and VU, we will create an agent-based system for which we can expand the considered game into spatial context, based on our agent-based simulation studies [94,95].
Models of cooperation in structured populations -part 2 (s’ouvre dans une nouvelle fenêtre)We will build on independent models and Markov models to explore the conditions when the evolution of cooperation is favoured. Erovenko et al. have found initial structural properties which support cooperation, and within this task a more thorough investigation of these and other properties will be carried out, also building other works, considering a wide range of multi-player cooperative games.
Approximation methods for generalized structures including graphs (s’ouvre dans une nouvelle fenêtre)These methods will build on approximation methods from evolutionary graph theory [14]. Approximation models for evolutionary games in structured populations will include the above Broom-Rychtar framework. This will involve translating methods from a very strong literature in epidemic modelling with highly translatable work in quasi-stationarity [80,81], as well as approximation methods detailed in the book summarizing two decades of work on these methods [82].
Different mechanisms of resistance (s’ouvre dans une nouvelle fenêtre)Resistance can come from genetic mutations or non-genetic changes including phenotype changes (between resistant or non-resistant because of trade-offs) and epigenetic mechanisms. These obviously correspond to different speeds and trajectories of evolution of resistance in the games studied in tasks 3.1 and 3.2. As the cancer population is under the pressure by the leader, then the speed of cancer cells’ to the leader will vary per underlying resistance mechanisms, which may lead to different patient prospects and best treatment strategies. Analysis of these different outcomes will be carried out under the lead of QM, in collaboration with QM, UM, and AB.
Dynamical properties of selected evolutionary games (s’ouvre dans une nouvelle fenêtre)This report will focus on dynamical properties analyzed in the previous deliverables, for the well known evolutionary games .
Study of the dynamical and structural stability of evolutionary multiplayer games -part 2 (s’ouvre dans une nouvelle fenêtre)Whereas many current models of population interactions explore food web dynamics, where individuals at a higher trophic level forage on individuals on the lower trophic level and compete with individuals at the same trophic level, there are many other interactions not considered by such food web models [66]. These latter interactions include, e.g., host-parasitoid, host-pathogen and plant-pollinator interactions. We will study effects of behavioural, ecological and/or evolutionary dynamics on biodiversity in such interaction networks. We will combine methods of EGT with differential equations as well as agent-based simulations that allow for heterogeneity in a range of individual characteristics.
Evolutionary model with realistic ecological dynamics in network-structured populations (s’ouvre dans une nouvelle fenêtre)Models of evolution in network-structured populations represented by evolutionary graph theory use a particular class of ecological dynamics based on coupled birth and death processes [9]. This enables a discrete-time structure to be implemented and is very effective where evolutionary and ecological timescales are separable. However, this coupling is unrealistic from a fundamental ecological perspective and causes problems when the timescales cannot be separated. We will develop evolutionary dynamics models with realistic underpinning ecological dynamics in network-structured populations. This also builds on competition dynamics models in developed in epidemic and ecological modelling [65,66]. The development of this framework will provide insights into scenarios in which evolutionary and ecological timescales overlap such as in pathogen evolution.
Criticality in evolutionary games (s’ouvre dans une nouvelle fenêtre)The criticality of a dynamical system is extremely significant for evolutionary networks. The term criticality, which originates from statistical physics, implies that the system is extremely susceptible to small perturbations, and is closely related to the concept of a tipping point from Deliverable 2.2. Moreover, a critical system obeys certain scaling laws. In systems with many components such a regime can be detected from the spectrum of the evolution operator, that governs the dynamical system. It has been suggested by Kaufman that living systems should be near a critical state in order for Darwinian evolution to be successful. In fact the total system self-organizes such that it is poised at the edge of chaos. The mathematical aspects of how systems in evolutionary game theory actually evolve toward criticality is a challenge for which we will turn to Lyapunov exponents for large networked systems with adaptive dynamics for their topology. The analysis requires both analytical methods and numerical simulations.
Setting up the supervisory board of the network
EVOGAMESPLUS training certificates (s’ouvre dans une nouvelle fenêtre)Each ESR will get a certificate proving that they followed the EvoGamesPlus curriculum.
Awarding of the doctoral degrees (s’ouvre dans une nouvelle fenêtre)All PhD candidates received their PhD degree.
Publications
Auteurs:
Křivan, Vlastimil; Cressman, Ross
Publié dans:
Journal of Theoretical Biology, Numéro 13, 2022, ISSN 0022-5193
Éditeur:
Academic Press
DOI:
10.1016/j.jtbi.2022.111162
Auteurs:
Monica Salvioli, Hasti Garjani, Mohammadreza Satouri, Mark Broom, Yannick Viossat, Joel S. Brown, Johan Dubbeldam, Kateřina Staňková
Publié dans:
Dynamic Games and Applications, 2024, ISSN 2153-0785
Éditeur:
Springer Science + Business Media
DOI:
10.1007/s13235-024-00609-z
Auteurs:
Ross Cressman; Vlastimil Křivan
Publié dans:
Journal of Dynamics and Games, Numéro 7, 2022, Page(s) 351–371, ISSN 2164-6066
Éditeur:
American Institute of Mathematical Sciences
DOI:
10.3934/jdg.2021030
Auteurs:
Arina Soboleva, Artem Kaznatcheev, Rachel Cavill, Katharina Schneider, Kateřina Staňková
Publié dans:
Plosone, 2023, ISSN 1932-6203
Éditeur:
Public Library of Science
DOI:
10.1101/2023.04.19.537467
Auteurs:
Daniel Romero-Mujalli, Laura I R Fuchs, Martin Haase, Jan-Peter Hildebrandt, Franz J Weissing, Tomás A Revilla
Publié dans:
Evolution Letters, Numéro 8, 2024, Page(s) 561-574, ISSN 2056-3744
Éditeur:
Oxford University Press (OUP)
DOI:
10.1093/evlett/qrae012
Auteurs:
Tomás A. Revilla; Tomás A. Revilla; Thomas Marcou; Vlastimil Křivan; Vlastimil Křivan
Publié dans:
Ecological Modelling, Numéro 12, 2021, ISSN 0304-3800
Éditeur:
Elsevier BV
DOI:
10.1016/j.ecolmodel.2021.109634
Auteurs:
Diogo L. Pires, Igor V. Erovenko, Mark Broom
Publié dans:
PLOS ONE, Numéro 18, 2023, Page(s) e0289366, ISSN 1932-6203
Éditeur:
Public Library of Science
DOI:
10.1371/journal.pone.0289366
Auteurs:
Monica Salvioli, Len Vandelaer, Esther Baena, Katharina Schneider, Rachel Cavill, Kateřina Staňková
Publié dans:
PLOS ONE, Numéro 19, 2024, Page(s) e0308173, ISSN 1932-6203
Éditeur:
Public Library of Science
DOI:
10.1371/journal.pone.0308173
Auteurs:
Eoin O’Sullivan, Kieran Mulchrone, Sebastian Wieczorek
Publié dans:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Numéro 479, 2023, ISSN 1364-5021
Éditeur:
Royal Society of London
DOI:
10.1098/rspa.2022.0647
Auteurs:
Hassan Alkhayuon, Jessa Marley, Sebastian Wieczorek, Rebecca C. Tyson
Publié dans:
Global Change Biology, Numéro 29, 2023, Page(s) 3347-3363, ISSN 1354-1013
Éditeur:
Blackwell Publishing Inc.
DOI:
10.1111/gcb.16679
Auteurs:
Nandakishor Krishnan, Villő Csiszár, Tamás F. Móri, József Garay
Publié dans:
Scientific Reports, Numéro 14, 2024, ISSN 2045-2322
Éditeur:
Nature Publishing Group
DOI:
10.1038/s41598-023-47211-8
Auteurs:
Maria Kleshnina, Sabrina Streipert, Joel S. Brown, Kateřina Staňková
Publié dans:
Dynamic Games and Applications, Numéro 13, 2024, Page(s) 1130-1155, ISSN 2153-0785
Éditeur:
Springer Science + Business Media
DOI:
10.1007/s13235-023-00544-5
Auteurs:
Małgorzata Fic, Chaitanya S. Gokhale
Publié dans:
npj Complexity, Numéro 1, 2024, ISSN 2731-8753
Éditeur:
Springer Science and Business Media LLC
DOI:
10.1038/s44260-024-00005-z
Auteurs:
Stein, Alexander; Salvioli, Monica; Garjani, Hasti; Dubbeldam, Johan; Viossat, Yannick; Brown, Joel S.; Staňková, Kateřina
Publié dans:
Philosophical Transactions of the Royal Society B, Numéro 5, 2023, ISSN 0962-8436
Éditeur:
Royal Society of London
DOI:
10.1098/rstb.2021.0495
Auteurs:
Silvestro Roberto Poccia; K. Selçuk Candan; Maria Luisa Sapino
Publié dans:
Applied Sciences, Vol 11, Iss 10873, p 10873 (2021), Numéro 20, 2021, ISSN 2076-3417
Éditeur:
MDPI
DOI:
10.3390/app112210873
Auteurs:
Karan Pattni, Wajid Ali, Mark Broom, Kieran J. Sharkey
Publié dans:
Journal of Theoretical Biology, Numéro 572, 2023, Page(s) 111587, ISSN 0022-5193
Éditeur:
Academic Press
DOI:
10.1016/j.jtbi.2023.111587
Auteurs:
Monica Salvioli, Johan Dubbeldam, Kateřina Staňková, Joel S. Brown
Publié dans:
PLOS ONE, Numéro 16, 2021, Page(s) e0245255, ISSN 1932-6203
Éditeur:
Public Library of Science
DOI:
10.1371/journal.pone.0245255
Auteurs:
Pressley, Mariyah; Salvioli, Monica; Lewis, David B.; Richards, Christina L.; Brown, Joel S.; Katerina Stankova
Publié dans:
Frontiers in Ecology and Evolution, Numéro 20, 2021, ISSN 2296-701X
Éditeur:
Frontiers
DOI:
10.3389/fevo.2021.681121
Auteurs:
Christo Morison, Małgorzata Fic, Thomas Marcou, Javad Mohamadichamgavi, Javier Redondo Antón, Golsa Sayyar, Alexander Stein, Frank Bastian, Hana Krakovská, Nandakishor Krishnan, Diogo L. Pires, Mohammadreza Satouri, Frederik J. Thomsen, Kausutua Tjikundi, Wajid Ali
Publié dans:
Dynamic Games and Applications, 2025, ISSN 2153-0785
Éditeur:
Springer Science + Business Media
DOI:
10.1007/s13235-025-00619-5
Auteurs:
Thomas Marcou, Tomás A. Revilla, Vlastimil Křivan
Publié dans:
Journal of Theoretical Biology, Numéro 594, 2024, Page(s) 111911, ISSN 0022-5193
Éditeur:
Academic Press
DOI:
10.1016/j.jtbi.2024.111911
Auteurs:
Nandakishor Krishnan, Lajos Rózsa, András Szilágyi, József Garay
Publié dans:
Journal of Theoretical Biology, 2024, ISSN 0022-5193
Éditeur:
Academic Press
DOI:
10.1101/2023.02.06.527336
Auteurs:
Małgorzata Fic, Frank Bastian, Jacek Miȩkisz, Chaitanya S. Gokhale
Publié dans:
Journal of Theoretical Biology, Numéro 601, 2025, Page(s) 112044, ISSN 0022-5193
Éditeur:
Academic Press
DOI:
10.1016/j.jtbi.2025.112044
Auteurs:
Jeroen Kuipers, Gijs Schoenmakers, Kateřina Staňková
Publié dans:
Journal of Optimization Theory and Applications, Numéro 198, 2023, Page(s) 332-346, ISSN 0022-3239
Éditeur:
Kluwer Academic/Plenum Publishers
DOI:
10.1007/s10957-023-02236-x
Auteurs:
Sebastian Wieczorek, Chun Xie, Peter Ashwin
Publié dans:
Nonlinearity, Numéro 36, 2023, Page(s) 3238-3293, ISSN 0951-7715
Éditeur:
Institute of Physics Publishing
DOI:
10.1088/1361-6544/accb37
Auteurs:
Nandakishor Krishnan, Villő Csiszár, Tamás F. Móri, József Garay
Publié dans:
Scientific Reports, 2023, ISSN 2045-2322
Éditeur:
Nature Publishing Group
DOI:
10.1101/2022.09.04.506536
Auteurs:
Diogo L. Pires; Mark Broom
Publié dans:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Numéro 478 (2267), 2022, Page(s) 20220577, ISSN 1471-2946
Éditeur:
Royal Society
DOI:
10.1098/rspa.2022.0577
Auteurs:
Hana Krakovská, Rudolf Hanel, Mark Broom
Publié dans:
PLOS ONE, Numéro 20, 2025, Page(s) e0319178, ISSN 1932-6203
Éditeur:
Public Library of Science
DOI:
10.1371/journal.pone.0319178
Auteurs:
Javad Mohamadichamgavi, Jacek Miȩkisz
Publié dans:
Physical Review E, Numéro 109, 2024, ISSN 2470-0045
Éditeur:
American Physical Society (APS)
DOI:
10.1103/physreve.109.044406
Auteurs:
Wölfl, Benjamin; te Rietmole, Hedy; Salvioli, Monica; Kaznatcheev, Artem; Thuijsman, Frank; Brown, Joel S; Burgering, Boudewijn; Staňková, Kateřina
Publié dans:
Dynamic Games and Applications, Numéro 20, 2021, Page(s) 313-342, ISSN 2153-0785
Éditeur:
Springer Science + Business Media
DOI:
10.1007/s13235-021-00397-w
Auteurs:
Wajid Ali, Christopher E. Overton, Robert R. Wilkinson, Kieran J. Sharkey
Publié dans:
Infectious Disease Modelling, Numéro 9, 2024, Page(s) 680-688, ISSN 2468-0427
Éditeur:
Elsevier BV
DOI:
10.1016/j.idm.2024.02.007
Auteurs:
Diogo L. Pires, Mark Broom
Publié dans:
PLOS Computational Biology, Numéro 20, 2024, Page(s) e1012388, ISSN 1553-7358
Éditeur:
Public Library of Science (PLoS)
DOI:
10.1371/journal.pcbi.1012388
Auteurs:
Paul Ritchie, Hassan Alkhayuon, Peter Cox, Sebastian Wieczorek
Publié dans:
Earth System Dynamics, 2023, ISSN 2190-4979
Éditeur:
Copernicus Gesellschaft mbH
DOI:
10.5194/egusphere-2022-1176
Auteurs:
Tomás Revilla; Vlastimil Krivan
Publié dans:
Applied Mathematics and Computation, Numéro 14, 2022, ISSN 0096-3003
Éditeur:
Elsevier BV
DOI:
10.1016/j.amc.2022.127368
Auteurs:
Golsa Sayyar, Gergely Röst
Publié dans:
Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics, 2024, Page(s) 215-232
Éditeur:
Springer Nature Switzerland
DOI:
10.1007/978-3-031-33050-6_13
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