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Ecological resilience refers to the ability of a system to retain its state when subject to state variables perturbations or parameter changes. While understanding and quantifying resilience is crucial to anticipate the possible regime…

Dynamical Systems · Mathematics 2019-05-10 Artur César Fassoni , Denis de Carvalho Braga

We study a spatial cyclic predator-prey model with an even number of species (for n=4, 6, and 8) that allows the formation of two defective alliances consisting of the even and odd label species. The species are distributed on the sites of…

Biological Physics · Physics 2008-01-21 Gyorgy Szabo , Attila Szolnoki , Gustavo Ariel Sznaider

Dynamical systems containing heteroclinic cycles and networks can be invoked as models of intransitive competition between three or more species. When populations are assumed to be well-mixed, a system of ordinary differential equations…

Dynamical Systems · Mathematics 2023-11-01 David C Groothuizen Dijkema , Claire M Postlethwaite

According to the evolutionary game theory principle, a strategy representing a higher payoff can spread among competitors. But there are cases when a player consistently overestimates or underestimates her own payoff, which undermines…

Physics and Society · Physics 2018-09-06 Attila Szolnoki , Xiaojie Chen

This paper aims to solve the coordination of a team of robots traversing a route in the presence of adversaries with random positions. Our goal is to minimize the overall cost of the team, which is determined by (i) the accumulated risk…

Robotics · Computer Science 2024-08-22 Zechen Hu , Manshi Limbu , Daigo Shishika , Xuesu Xiao , Xuan Wang

Natural selection imply that any organisms including human being will evolve to improve its fitness advantage and the selected genotype or phenotype in equilibrium state will not vary over the time. However, evolutionary process of…

Populations and Evolution · Quantitative Biology 2024-01-30 Jia-Xu Han , Rui-Wu Wang

Cooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because…

Physics and Society · Physics 2020-06-24 Lucas Wardil , Marco A. Amaral

The Jungle Game is used in population dynamics to describe cyclic competition among species that interact via a food chain. The dynamics of the Jungle Game supports a heteroclinic network whose cycles represent coexisting species. The…

Dynamical Systems · Mathematics 2024-01-17 Sofia B. S. D. Castro , Ana M. J. Ferreira , Isabel S. Labouriau

We live in a time where climate models predict future increases in environmental variability and biological invasions are becoming increasingly frequent. A key to developing effective responses to biological invasions in increasingly…

Populations and Evolution · Quantitative Biology 2015-12-16 Sebastian J. Schreiber , Maureen E. Ryan

Cyclic, nonhierarchical interactions among biological species represent a general mechanism by which ecosystems are able to maintain high levels of biodiversity. However, species coexistence is often possible only in spatially extended…

Populations and Evolution · Quantitative Biology 2015-03-17 Daniel Groselj , Frank Jenko , Erwin Frey

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

Analysis of PDEs · Mathematics 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

Arguably the most influential force in human history is the formation of social coalitions and alliances (i.e., long-lasting coalitions) and their impact on individual power. In most great ape species, coalitions occur at individual and…

Populations and Evolution · Quantitative Biology 2015-05-13 Sergey Gavrilets , Edgar A. Duenez-Guzman , Michael D. Vose

Wealthy individuals may be less tempted to defect than those with comparatively low payoffs. To take this into consideration, we introduce coevolutionary success-driven multigames in structured populations. While the core game is always the…

Physics and Society · Physics 2014-10-17 Attila Szolnoki , Matjaz Perc

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

For most organisms with viscous population structure, spatially localized growth drives the invasive advance of a favorable mutation. We model a two-allele competition where recurrent mutation introduces a genotype with a rate of local…

Populations and Evolution · Quantitative Biology 2007-05-23 Lauren O'Malley , James Basham , Joseph A. Yasi , G. Korniss , Andrew Allstadt , Tom Caraco

We investigate a tritrophic system whose cyclic dominance is modelled by the rock-paper-scissors game. We consider that organisms of one or two species are affected by movement limitations, which unbalances the cyclic spatial game.…

Populations and Evolution · Quantitative Biology 2023-03-13 J. Menezes , S. Rodrigues , S. Batista

Our interest here is to find the invader in a two species, diffusive and competitive Lotka-Volterra system in the particular case of travelling wave solutions. We investigate the role of diffusion in homogeneous domains. We might expect a…

Analysis of PDEs · Mathematics 2015-07-01 Léo Girardin , Grégoire Nadin

Cooperation is ubiquitous ranging from multicellular organisms to human societies. Population structures indicating individuals' limited interaction ranges are crucial to understand this issue. But it is still at large to what extend…

Biological Physics · Physics 2014-04-18 Aming Li , Bin Wu , Long Wang

The evolutionary persistence of symbiotic associations is a puzzle. Adaptation should eliminate cooperative traits if it is possible to enjoy the advantages of cooperation without reciprocating - a facet of cooperation known in game theory…

Populations and Evolution · Quantitative Biology 2009-11-10 Marcus R. Frean , Edward R. Abraham

We consider a group of agents on a graph who repeatedly play the prisoner's dilemma game against their neighbors. The players adapt their actions to the past behavior of their opponents by applying the win-stay lose-shift strategy. On a…

Probability · Mathematics 2007-05-23 Elchanan Mossel , Sebastien Roch
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