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While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

The sustainable use of common-pool resources (CPRs) is a major environmental governance challenge because of their possible over-exploitation. Research in this field has overlooked the feedback between user decisions and resource dynamics.…

Theoretical Economics · Economics 2021-10-04 Chengyi Tu , Paolo DOdorico , Zhe Li , Samir Suweis

Organisms may respond to local stimuli that benefit or threaten their fitness. The adaptive movement behaviour may allow individuals to adjust their speed to maximise the chances of being in comfort zones, where death risk is minimal. We…

Populations and Evolution · Quantitative Biology 2022-12-27 M. Tenorio , E. Rangel , J. Menezes

Motivated by the climate crisis that is currently ravaging the planet, we propose and analyze a novel framework for the evolution of anthropogenic climate impact in which the evolution of human environmental behavior and environmental…

Dynamical Systems · Mathematics 2022-11-22 Kathinka Frieswijk , Lorenzo Zino , A. Stephen Morse , Ming Cao

We study the emergency of mutual cooperation in evolutionary prisoner's dilemma games when the players are located on a square lattice. The players can choose one of the three strategies: cooperation (C), defection (D) or "tit for tat" (T),…

Statistical Mechanics · Physics 2015-06-24 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

Building upon the eco-evolutionary game dynamics framework established by Tilman et al., we investigate stochastic fluctuations in a two-strategy system incorporating environmental feedback mechanisms, where the payoff matrix exhibits…

Populations and Evolution · Quantitative Biology 2025-12-01 Chao Wang , Minlan Li , Chang Liu

Whether or not to change strategy depends not only on the personal success of each individual, but also on the success of others. Using this as motivation, we study the evolution of cooperation in games that describe social dilemmas, where…

Physics and Society · Physics 2012-08-21 Attila Szolnoki , Zhen Wang , Matjaz Perc

Global change is reshaping ecosystems and societies. Strategic choices that were best yesterday may be sub-optimal tomorrow; and environmental conditions that were once taken for granted may soon cease to exist. In this setting, how people…

Populations and Evolution · Quantitative Biology 2024-04-23 Andrew R. Tilman , Vítor V. Vasconcelos , Erol Akçay , Joshua B. Plotkin

In this paper, we extend the demographic eco-evolutionary game approach, based on explicit birth and death dynamics instead of abstract "fitness" interpreted as an abstract "Malthusian parameter", by the introduction of the delay resulting…

Populations and Evolution · Quantitative Biology 2026-01-07 Krzysztof Argasiński , Ryszard Rudnicki , Robert Szczelina

Enhancement of the predictive power and robustness of nonlinear population dynamics models allows ecologists to make more reliable forecasts about species' long term survival. However, the limited availability of detailed ecological data,…

Pattern Formation and Solitons · Physics 2025-04-18 Indrajyoti Gaine , Malay Banerjee

Dynamics of a social population is analyzed taking into account some physical constraints on individual behavior and decision making abilities. The model, based on Evolutionary Game Theory, predicts that a population has to pass through a…

Populations and Evolution · Quantitative Biology 2007-05-23 Alex Feigel

Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these…

Social and Information Networks · Computer Science 2018-07-10 Babak Fotouhi , Naghmeh Momeni , Benjamin Allen , Martin A. Nowak

Natural ecosystems are characterized by striking diversity of form and functions and yet exhibit deep symmetries emerging across scales of space, time and organizational complexity. Species-area relationships and species-abundance…

Here we will use results of Cox, Durrett, and Perkins for voter model perturbations to study spatial evolutionary games on $Z^d$, $d\ge 3$ when the interaction kernel is finite range, symmetric, and has covariance matrix $\sigma^2I$. The…

Probability · Mathematics 2014-12-30 Rick Durrett

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

Populations and Evolution · Quantitative Biology 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

Cooperation is ubiquitous in nature, but explaining its existence remains a central interdisciplinary challenge. Cooperation is most difficult to explain in the Prisoner's Dilemma game, where cooperators always lose in direct competition…

Populations and Evolution · Quantitative Biology 2013-11-13 J. David Van Dyken , Melanie J. I. Muller , Keenan M. L. Mack , Michael M. Desai

Environmental variability greatly influences the eco-evolutionary dynamics of a population, i.e. it affects how its size and composition evolve. Here, we study a well-mixed population of finite and fluctuating size whose growth is limited…

Populations and Evolution · Quantitative Biology 2021-10-14 Karl Wienand , Erwin Frey , Mauro Mobilia

Reputation plays a crucial role in social interactions by affecting the fitness of individuals during an evolutionary process. Previous works have extensively studied the result of imitation dynamics without focusing on potential irrational…

Physics and Society · Physics 2024-04-24 Kehuan Feng , Songlin Han , Minyu Feng , Attila Szolnoki

We present a spatial, individual-based predator-prey model in which dispersal is dependent on the local community. We determine species suitability to the biotic conditions of their local environment through a time and space varying fitness…

Populations and Evolution · Quantitative Biology 2008-07-21 Elise Filotas , Martin Grant , Lael Parrott , Per Arne Rikvold

Ecologists have long investigated how demographic and movement parameters determine the spatial distribution and critical habitat size of a population. However, most models oversimplify movement behavior, neglecting how landscape…

Populations and Evolution · Quantitative Biology 2024-03-11 Vivian Dornelas , Pablo de Castro , Justin M. Calabrese , William F. Fagan , Ricardo Martinez-Garcia
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