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How should dispersal strategies be chosen to increase the likelihood of survival of a species? We obtain the answer for the spatially extended versions of three well-known models of two competing species with unequal diffusivities. Though…

Populations and Evolution · Quantitative Biology 2020-07-08 Tapas Singha , Prasad Perlekar , Mustansir Barma

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

Competition is the main driver of population dynamics, which shapes the genetic composition of populations and the assembly of ecological communities. Neutral models assume that all the individuals are equivalent and that the dynamics is…

Populations and Evolution · Quantitative Biology 2018-04-11 Matan Danino , Nadav M. Shnerb

We present detailed numerical results for a modified form of the so-called Minority Game, which provides a simplified model of a competitive market. Each agent has a limited set of strategies, and competes to be in a minority. An…

Condensed Matter · Physics 2009-10-31 T. S. Lo , S. W. Lim , P. M. Hui , N. F. Johnson

In a geographically distributed population, assortative clustering plays an important role in evolution by modifying local environments. To examine its effects in a linear habitat, we consider a one-dimensional grid of cells, where each…

Populations and Evolution · Quantitative Biology 2021-03-16 Sunhee Chae , Nahyeon Lee , Seung Ki Baek , Hyeong-Chai Jeong

Local coexistence of species in large ecosystems is traditionally explained within the broad framework of niche theory. However, its rationale hardly justifies rich biodiversity observed in nearly homogeneous environments. Here we consider…

Populations and Evolution · Quantitative Biology 2021-11-17 Deepak Gupta , Stefano Garlaschi , Samir Suweis , Sandro Azaele , Amos Maritan

We investigate the phenomenology emerging from a 2-species dynamics under the scenario of a quasi-neutral competition within a metapopulation framework. We employ stochastic and deterministic approaches, namely spatially-constrained…

Populations and Evolution · Quantitative Biology 2021-02-05 Marcelo A. Pires , Nuno Crokidakis , Silvio M. Duarte Queirós

A microscopic model is developed, within the frame of the theory of quantitative traits, to study both numerically and analytically the combined effect of competition and assortativity on the sympatric speciation process, i.e. speciation in…

Populations and Evolution · Quantitative Biology 2007-05-23 Franco Bagnoli , Carlo Guardiani

We study a spatially homogeneous model of a market where several agents or companies compete for a wealth resource. In analogy with ecological systems the simplest case of such models shows a kind of "competitive exclusion" principle.…

Condensed Matter · Physics 2009-11-07 Marcelo Kuperman And Horacio Wio

We derive an analytical approximation for making quantitative predictions for ecological communities as a function of the mean intensity of the inter-specific competition and the species richness. This method, with only a fraction of the…

Populations and Evolution · Quantitative Biology 2017-08-14 Hugo Fort

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

This paper is concerned with reaction-diffusion systems of two symmetric species in spatial dimension one, having two stable symmetric equilibria connected by a symmetric standing front. The first order variation of the speed of this front…

Analysis of PDEs · Mathematics 2017-03-08 Emmanuel Risler

In this paper I describe a cellular automaton model of a multi-species ecosystem, suitable for the study of emergent properties of macroevolution. Unlike majority of ecological models, the number of coexisting species is not fixed. Starting…

Populations and Evolution · Quantitative Biology 2009-09-23 Wojciech Borkowski

We present a simple model of adaptive radiations in evolution based on species competition. Competition is found to promote species divergence and branching, and to dampen the net species production. In the model simulations, high taxonomic…

Populations and Evolution · Quantitative Biology 2007-05-23 Birgitte Freiesleben De Blasio , Fabio Vittorio De Blasio

The minority model was introduced to study the competition between agents with limited information. It has the remarkable feature that, as the amount of information available increases, the collective gain made by the agents is reduced.…

Statistical Mechanics · Physics 2007-05-23 M. A. R. de Cara , O. Pla , F. Guinea

Diverse communities of competing species are generally characterized by substantial niche overlap and strongly stochastic dynamics. Abundance fluctuations are proportional to population size, so the dynamics of rare populations is slower.…

Populations and Evolution · Quantitative Biology 2024-10-02 David A. Kessler , Nadav M. Shnerb

How do competing populations convert a spatial advantage into macroscopic dominance? We introduce a stochastic model for resource competition that decouples the transient discovery phase from monopolization. Initial symmetry breaking is…

Populations and Evolution · Quantitative Biology 2026-03-12 Stuti Guha , Shawn D. Ryan , Bhargav R. Karamched

Given an endogenous timescale set by invasion in a constant environment, we introduced periodic temporal variation in competitive superiority by alternating the species' propagation rates. By manipulating habitat size and introduction rate,…

Populations and Evolution · Quantitative Biology 2011-05-10 Lauren O'Malley , G. Korniss , Sai Satya Praveen Mungara , Thomas Caraco

Competing strategies in an evolutionary game model, or species in a biosystem, can easily form a larger unit which protects them from the invasion of an external actor. Such a defensive alliance may have two, three, four or even more…

Physics and Society · Physics 2023-06-21 Attila Szolnoki , Xiaojie Chen

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