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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

Nutrients from a flowering plant are shared by its pollinators, giving rise to competition in the latter. Such exploitative competition of pollinators can limit their abundance and affect the global organization of the mutualistic…

Populations and Evolution · Quantitative Biology 2019-04-02 Seong Eun Maeng , Jae Woo Lee , Deok-Sun Lee

The relationship between the dynamics of a community and its constituent pairwise interactions is a fundamental problem in ecology. Higher-order ecological effects beyond pairwise interactions may be key to complex ecosystems, but…

Populations and Evolution · Quantitative Biology 2018-09-05 Michael Manhart , Eugene I. Shakhnovich

Molecular ecology uses molecular genetic data to answer traditional ecological questions in biogeography and biodiversity among others. Several ecological principles, such as the niche hypothesis and the competitive exclusions, are based on…

Geographic ranges of communities of species evolve in response to environmental, ecological, and evolutionary forces. Understanding the effects of these forces on species' range dynamics is a major goal of spatial ecology. Previous…

Populations and Evolution · Quantitative Biology 2022-02-02 Farshad Shirani , Judith R. Miller

We study a competition-diffusion model while performing simultaneous homogenization and strong competition limits. The limit problem is shown to be a Stefan type evolution equation with effective coefficients. We also perform some numerical…

Analysis of PDEs · Mathematics 2017-10-20 Harsha Hutridurga , Chandrasekhar Venkataraman

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

The dynamics leading to extinction or coexistence of competing species is of great interest in ecology and related fields. Recently a model of intra- and interspecific competition between two species was proposed by Gabel et al. [Phys. Rev.…

Populations and Evolution · Quantitative Biology 2015-06-15 Renato Vieira dos Santos , Ronald Dickman

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…

Populations and Evolution · Quantitative Biology 2020-01-22 Jose A. Capitan , Sara Cuenda , David Alonso

Competition is a major force in structuring ecological communities. The strength of competition can be measured using the concept of a niche. A niche comprises the set of requirements of an organism in terms of habitat, environment and…

Probability · Mathematics 2007-05-23 N. Lanchier , C. Neuhauser

Competition for available resources is natural amongst coexisting species, and the fittest contenders dominate over the rest in evolution. The dynamics of this selection is studied using a simple linear model. It has similarities to…

Quantum Physics · Physics 2007-05-23 Apoorva Patel

The processes and mechanisms underlying the origin and maintenance of biological diversity have long been of central importance in ecology and evolution. The competitive exclusion principle states that the number of coexisting species is…

Populations and Evolution · Quantitative Biology 2020-12-02 Michael Doebeli , Eduardo Cancino Jaque , Iaroslav Ispolatov

In this paper we provide a model to describe the dynamics of the species of the ecosystem after it has been raided by a bad competing specie. The competing specie invades the native plants for nutrition, carbon dioxide and space. This…

Populations and Evolution · Quantitative Biology 2019-11-19 Issaka Haruna , Oluwole Daniel Makinde , David Mwangi Theuri

Non-uniform rates of morphological evolution and evolutionary increases in organismal complexity, captured in metaphors like "adaptive zones", "punctuated equilibrium" and "blunderbuss patterns", require more elaborate explanations than a…

Populations and Evolution · Quantitative Biology 2020-07-01 Iaroslav Ispolatov , Evgeniia Alekseeva , Michael Doebeli

Ecosystems, which are intricate amalgams of biological communities and their surrounding environments, continually evolve under the influence of their myriad interactions. The world is currently facing intensifying environmental…

Biological Physics · Physics 2023-11-23 Ikumi Kobayashi

Microorganisms live in environments that inevitably fluctuate between mild and harsh conditions. As harsh conditions may cause extinctions, the rate at which fluctuations occur can shape microbial communities and their diversity, but we…

Populations and Evolution · Quantitative Biology 2021-10-14 Shota Shibasaki , Mauro Mobilia , Sara Mitri

The capacity to sense gradients efficiently and acquire information about the ambient environment confers many advantages like facilitating movement toward nutrient sources or away from toxic chemicals. The amplified dispersal evinced by…

Earth and Planetary Astrophysics · Physics 2021-07-16 Manasvi Lingam

The ability of mixotrophs to combine phototrophy and phagotrophy is now well recognized and found to have important implications for ecosystem dynamics. In this paper we examine the dynamical consequences of the invasion of mixotrophs in a…

Dynamical Systems · Mathematics 2019-09-05 Torsten Lindström , Yuanji Cheng , Subhendu Chakraborty

The persistence of biodiversity of species is a challenging proposition in ecological communities in the face of Darwinian selection. The present article investigates beyond the pairwise competitive interactions and provides a novel…

Populations and Evolution · Quantitative Biology 2022-11-09 Sourin Chatterjee , Sayantan Nag Chowdhury , Dibakar Ghosh , Chittaranjan Hens

We study a model of competition for resource through a chemostat-type model where species consume the common resource that is constantly supplied. We assume that the species and resources are characterized by a continuous trait. As already…

Analysis of PDEs · Mathematics 2014-02-24 Sepideh Mirrahimi , Benoît Perthame , Joe Yuichiro Wakano