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This tutorial article puts forth a framework to analyze the noncooperative strategic interactions among the members of a large population of bounded rationality agents. Our approach hinges on, unifies and generalizes existing methods and…

最优化与控制 · 数学 2020-07-15 Shinkyu Park , Nuno C. Martins , Jeff S. Shamma

In this study, we investigate the dynamics of a spatial and non spatial prey-predator interaction model that includes the following: (i) fear effect incorporated in prey birth rate; (ii) group defence of prey against predators; and (iii)…

Eco-evolutionary frameworks can explain certain features of communities in which ecological and evolutionary processes occur over comparable timescales. Here, we investigate whether an evolutionary dynamics may interact with the spatial…

种群与进化 · 定量生物学 2019-12-04 Eduardo H. Colombo , Ricardo Martínez-García , Cristóbal , López , Emilio Hernández-García

A reaction-diffusion-advection predator-prey model with Holling type-II predator functional response is considered. We show the stability/instability of the positive steady state and the existence of a Hopf bifurcation when the diffusion…

动力系统 · 数学 2022-12-09 Yihuan Sun , Shanshan Chen

Dormancy is a costly adaptive strategy that is widespread among living organisms inhabiting diverse environments. We explore mathematical models of predator-prey systems, in order to assess the impact of prey dormancy on the competition…

种群与进化 · 定量生物学 2021-06-28 Tao Wen , Eugene V. Koonin , Kang Hao Cheong

In this paper we explore the eco-evolutionary dynamics of a predator-prey model, where the prey population is structured according to a certain life history trait. The trait distribution within the prey population is the result of interplay…

种群与进化 · 定量生物学 2019-03-27 József Z. Farkas , A. Yu. Morozov

We consider the properties of a slow-fast prey-predator system in time and space. We first argue that the simplicity of prey-predator system is apparent rather than real and there are still many of its hidden properties that have been…

动力系统 · 数学 2021-07-29 Pranali Roy Chowdhury , Sergei Petrovskii , Malay Banerjee

At both conceptual and applied levels, quantum physics provides new opportunities as well as fundamental limitations. We hypothetically ask whether quantum games inspired by population dynamics can benefit from unique features of quantum…

量子物理 · 物理学 2022-08-18 Bar Y. Peled , Amit Te'eni , Eliahu Cohen , Avishy Carmi

This paper establishes that, under the appropriate range of values of the parameters involved in the formulation of the model, a diffusive predator-prey system with saturation can have an arbitrarily large number of coexistence states for…

动力系统 · 数学 2025-08-11 Kousuke Kuto , Julián López-Gómez , Eduardo Muñoz-Hernández

We study a spatial (two-dimensional) Rosenzweig-MacArthur model under the following assumptions: $(1)$ prey movement follows a nonlinear diffusion, $(2)$ preys have a refuge zone (sometimes called "protection zone") where predators cannot…

偏微分方程分析 · 数学 2020-10-21 Leoncio Rodriguez Quinones , Jia Zhao , Luis Gordillo

In this paper, we investigate the emergence of a predator-prey system with Ivlev-type functional response and reaction-diffusion. We study how diffusion affects the stability of predator-prey coexistence equilibrium and derive the…

种群与进化 · 定量生物学 2008-01-08 Weiming Wang , Lei Zhang , Hailing Wang , Zhenqing Li

Cooperation is usually represented as a Prisoner's Dilemma game. Although individual self-interest may not favour cooperation, cooperation can evolve if, for example, players interact multiple times adjusting their behaviour accordingly to…

物理与社会 · 物理学 2015-04-29 Elton J. S. Júnior , Lucas Wardil , Jafferson K. L. da Silva

Predator-prey coevolution is commonly thought to result in reciprocal arms races that produce increasingly extreme and complex traits. However, such directional change is not inevitable. Here, we provide evidence for a previously…

种群与进化 · 定量生物学 2014-02-18 Aaron P Wagner , Luis Zaman , Ian Dworkin , Charles Ofria

We are concerned with the persistence of both predator and prey in a diffusive predator-prey system with a climate change effect, which is modeled by a spatial-temporal heterogeneity depending on a moving variable. Moreover, we consider…

偏微分方程分析 · 数学 2021-05-10 Wonhyung Choi , Thomas Giletti , Jong-Shenq Guo

Identifying and understanding modular organizations is centrally important in the study of complex systems. Several approaches to this problem have been advanced, many framed in information-theoretic terms. Our treatment starts from the…

适应与自组织系统 · 物理学 2015-01-19 Artemy Kolchinsky , Luis M. Rocha

In this paper, we propose an evolutionary predatorprey robot system which can be generally implemented from simulation to the real world. We design the closed-loop robot system with camera and infrared sensors as inputs of controller. Both…

机器人学 · 计算机科学 2020-10-30 Jiunhan Chen , Zhenyu Gao

This paper explores a stochastic Gause predator-prey model with bounded or sub-linear functional response. The model, described by a system of stochastic differential equations, captures the influence of stochastic fluctuations on…

种群与进化 · 定量生物学 2024-09-10 Leon Alexander Valencia , Ph. D , Jorge Mario Ramirez Osorio , Jorge Andres Sanchez

Humans and animals exhibit a range of interesting behaviors in dynamic environments, and it is unclear how our brains actively reformat this dense sensory information to enable these behaviors. Experimental neuroscience is undergoing a…

神经元与认知 · 定量生物学 2023-11-07 Aran Nayebi

Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring Holling-type…

种群与进化 · 定量生物学 2020-01-01 Luciano Stucchi , Javier Galeano , Desiderio A. Vasquez

We present a novel formulation for biochemical reaction networks in the context of signal transduction. The model consists of input-output transfer functions, which are derived from differential equations, using stable equilibria. We select…

分子网络 · 定量生物学 2013-02-26 Gabriele Scheler