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The biological requirements for an ecosystem to develop and maintain species diversity are in general unknown. Here we consider a model ecosystem of sessile and mutually excluding organisms competing for space [Mathiesen et al. Phys. Rev.…

Populations and Evolution · Quantitative Biology 2012-09-10 Namiko Mitarai , Joachim Mathiesen , Kim Sneppen

Bacteria and their viruses ("bacteriophages") coexist in natural environments forming complex infection networks. Recent empirical findings suggest that phage-bacteria infection networks often possess a nested structure such that there is a…

Populations and Evolution · Quantitative Biology 2013-04-09 Luis F. Jover , Michael H. Cortez , Joshua S. Weitz

We investigate the competition dynamics of two microbial or viral strains that live in an environment that switches periodically between two states. One of the strains is adapted to the long-term environment, but pays a short-term cost,…

Populations and Evolution · Quantitative Biology 2013-05-29 Robert Forster , Claus O. Wilke

If two species exhibit different nonlinear responses to a single shared resource, and if each species modifies the resource dynamics such that this favors its competitor, they may stably coexist. This coexistence mechanism, known as…

Populations and Evolution · Quantitative Biology 2015-06-16 Florian Hartig , Tamara Münkemüller , Karin Johst , Ulf Dieckmann

This paper investigates the competition of two species in a heterogeneous environment subject to the effect of harvesting. The most realistic harvesting case is connected with the intrinsic growth rate, and the harvesting functions are…

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

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…

Probability · Mathematics 2020-12-29 Lea Popovic , Liam Peuckert

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

Bacteria and their bacteriophages are the most abundant, widespread and diverse groups of biological entities on the planet. In an attempt to understand how the interactions between bacteria, virulent phages and temperate phages might…

Populations and Evolution · Quantitative Biology 2009-11-13 Martin Rosvall , Ian B. Dodd , Sandeep Krishna , Kim Sneppen

The far-reaching consequences of ecological interactions in the dynamics of biological communities remain an intriguing subject. For decades, competition has been a cornerstone in ecological processes, but mounting evidence shows that…

Populations and Evolution · Quantitative Biology 2021-07-19 F. Meloni , G. Nakamura , B. Grammaticos , A. S. Martinez , M. Badoual

The paper is concerned with different types of dispersal chosen by competing species. We introduce a model with the diffusion-type term $\nabla \cdot \left[ a \nabla \left( u/P \right) \right]$ which includes some previously studied systems…

Dynamical Systems · Mathematics 2016-06-10 E. Braverman , Md. Kamrujjaman

Compartmentalization of self-replicating molecules (templates) in protocells is a necessary step towards the evolution of modern cells. However, coexistence between distinct template types inside a protocell can be achieved only if there is…

Biological Physics · Physics 2013-02-19 J. F. Fontanari , M. Serva

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…

Populations and Evolution · Quantitative Biology 2023-03-22 Gaël Bardon , Frédéric Barraquand

During batch growth on mixtures of two growth-limiting substrates, microbes consume the substrates either sequentially or simultaneously. These growth patterns are manifested in all types of bacteria and yeasts. The ubiquity of these growth…

Cell Behavior · Quantitative Biology 2008-01-09 Jason T. Noel , Atul Narang

Similarity of competitors has been proposed to facilitate coexistence of species because it slows down competitive exclusion, thus making it easier for equalizing mechanisms to maintain diverse communities. On the other hand, chaos can…

Populations and Evolution · Quantitative Biology 2019-02-27 Pablo Rodríguez-Sánchez , Egbert H. van Nes , Marten Scheffer

Patterned vegetation is a characteristic feature of many dryland ecosystems. While plant densities on the ecosystem-wide scale are typically low, a spatial self-organisation principle leads to the occurrence of alternating patches of high…

Populations and Evolution · Quantitative Biology 2020-05-05 Lukas Eigentler

Many bacterial species produce toxins that inhibit their competitors. We model this phenomenon by extending classic two-species Lotka-Volterra competition in one spatial dimension to incorporate toxin production by one species. Considering…

Populations and Evolution · Quantitative Biology 2019-09-23 Andrew D. Dean , Malcolm J. Horsburgh , Bakhti Vasiev

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…

Populations and Evolution · Quantitative Biology 2019-08-12 Vlastimil Křivan , Tomás A. Revilla

In this paper, we consider a two species chemotaxis system of parabolic-parabolic-elliptic type with Lotka-Volterra type competition terms in heterogeneous media. We first find various conditions on the parameters which guarantee the global…

Analysis of PDEs · Mathematics 2018-06-11 Tahir Bachar Issa , Wenxian Shen

We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are…

Biological Physics · Physics 2020-09-17 J. J. Dong , J. D. Russo , K. Sampson