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I introduce an axiomatic representation, called ecoset, to consider interactions between species in ecological systems. For interspecific competition, the exclusion conjecture (Gause) is put in a symbolic way and used as a basic operational…

种群与进化 · 定量生物学 2007-05-23 J. C. Flores

In real-life complex systems, individuals often encounter multiple social dilemmas that cannot be effectively captured using a single-game model. Furthermore, the environment and limited resources both play a crucial role in shaping…

物理与社会 · 物理学 2025-04-15 Chengbin Sun , Alfonso de Miguel-Arribas , Chaoqian Wang , Haoxiang Xia , Yamir Moreno

Artificial ecosystems provide an additional experimental tool to support laboratory work, field work, and theoretical development in competitive exclusion research. A novel application of a spatiotemporal agent based model is presented…

种群与进化 · 定量生物学 2023-06-01 John C. Stevenson

The properties of competition models where all individuals are identical are relatively well-understood; however, juveniles and adults can experience or generate competition differently. We study here less well-known structured competition…

种群与进化 · 定量生物学 2023-03-22 Gaël Bardon , Frédéric Barraquand

We consider a class of games that are generalizations of the minority game, in that the demand and supply of the resource are specified independently. This allows us to study systems in which agents compete under different demand loads.…

适应与自组织系统 · 物理学 2009-11-07 R. Savit , S. A. Brueckner , H. V. D. Parunak , J. Sauter

We propose a reaction--diffusion model of predator--prey interaction in which the predators occupy only a subset of the prey's territory, leaving a predator-free exclusion zone. Ecological examples include marine protected areas where it is…

偏微分方程分析 · 数学 2026-04-10 Henri Berestycki , William F. Fagan , Alex Safsten

Coexistence of plants depends on their competition for common resources and indirect interactions mediated by shared exploiters or mutualists. These interactions are driven either by changes in animal abundance (density-mediated…

种群与进化 · 定量生物学 2019-08-12 Vlastimil Křivan , Tomás A. Revilla

Explaining biodiversity is a central focus in theoretical ecology. A significant obstacle arises from the Competitive Exclusion Principle (CEP), which states that two species competing for the same type of resources cannot coexist at…

种群与进化 · 定量生物学 2025-06-18 Ju Kang , Yiyuan Niu , Xin Wang

The storage effect is a well-known explanation for coexistence in temporally varying environments. Like many complex ecological theories, the storage effect is often used as an explanation for observed coexistence on the basis of heuristic…

种群与进化 · 定量生物学 2023-01-13 Evan C. Johnson , Oscar Godoy , Alan Hastings

We examine the two-dimensional extension of the model of Kessler and Sander of competition between two species identical except for dispersion rates. In this class of models, the spatial inhomogeneity of reproduction rates gives rise to an…

种群与进化 · 定量生物学 2015-06-12 Shlomit Weisman , David A. Kessler

We consider a class of games that are generalizations of the minority game, in that the demand and supply of the resource are specified independently. This allows us to study systems in which agents compete for a resource under different…

适应与自组织系统 · 物理学 2007-05-23 Robert Savit , Sven A. Brueckner , H. Van Dyke Parunak , John Sauter

Species coexistence is a complex, multifaceted problem. At an equilibrium, coexistence requires two conditions: stability under small perturbations; and feasibility, meaning all species abundances are positive. Which of these two conditions…

种群与进化 · 定量生物学 2024-05-21 Stav Marcus , Ari M. Turner , Guy Bunin

We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model. We also prove the…

动力系统 · 数学 2018-09-12 Vladimir Kozlov , Sergey Vakulenko , Uno Wennergren , Vladimir G. Tkachev

Coexistence of competing species is, due to unavoidable fluctuations, always transient. In this Letter, we investigate the ultimate survival probabilities characterizing different species in cyclic competition. We show that they often obey…

种群与进化 · 定量生物学 2009-01-30 Maximilian Berr , Tobias Reichenbach , Martin Schottenloher , Erwin Frey

When competing species grow into new territory, the population is dominated by descendants of successful ancestors at the expansion front. Successful ancestry depends on both the reproductive advantage (fitness), as well as ability and…

种群与进化 · 定量生物学 2026-05-29 Sergio Eraso , Mehran Kardar

Ecological models traditionally explain stability and coexistence through pairwise interactions among species. These interactions can also involve groups of three or more species, higher-order interactions, which recent theory suggests can…

种群与进化 · 定量生物学 2025-10-07 Marc Duran-Sala , Sandro Meloni , Violeta Calleja-Solanas

Theory purports that animal foraging choices evolve to maximize returns, such as net energy intake. Empirical research in both human and nonhuman animals reveals that individuals often attend to the foraging choices of their competitors…

种群与进化 · 定量生物学 2013-01-31 Serguei Saavedra , R. Dean Malmgren , Nicholas Switanek , Brian Uzzi

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

概率论 · 数学 2020-12-29 Lea Popovic , Liam Peuckert

Quantitative predictions about the processes that promote species coexistence are a subject of active research in ecology. In particular, competitive interactions are known to shape and maintain ecological communities, and situations where…

种群与进化 · 定量生物学 2020-01-22 Jose A. Capitan , Sara Cuenda , David Alonso

Understanding under what conditions interacting populations, whether they be plants, animals, or viral particles, coexist is a question of theoretical and practical importance in population biology. Both biotic interactions and…

种群与进化 · 定量生物学 2011-04-26 Sebastian J. Schreiber , Michel Benaïm , Kolawolé A. S. Atchadé