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Effects of Stage Structure on Coexistence: Mixed Benefits
The properties of competition models where all individuals are identical are relatively well-understood; however, juveniles and adults can experience...
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Coexistence in two-species competition with delayed maturation
Inter- and intraspecific competition is most important during the immature life stage for many species of interest, such as multiple coexisting...
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Coexistence of singular cycles in a class of three-dimensional piecewise affine systems
Singular cycles (homoclinic orbits and heteroclinic cycles) play an important role in the study of chaotic dynamics of dynamical systems. This paper...
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Local intraspecific aggregation in phytoplankton model communities: spatial scales of occurrence and implications for coexistence
The coexistence of multiple phytoplankton species despite their reliance on similar resources is often explained with mean-field models assuming...
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Permanence via invasion graphs: incorporating community assembly into modern coexistence theory
To understand the mechanisms underlying species coexistence, ecologists often study invasion growth rates of theoretical and data-driven models....
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Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach
The paradox of the plankton highlights the apparent contradiction between Gause’s law of competitive exclusion and the observed diversity of...
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Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy
In this work, we consider a model of two microbial species in a chemostat in which one of the competitors can produce a toxin (allelopathic agent)...
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Optimal protein production by a synthetic microbial consortium: coexistence, distribution of labor, and syntrophy
The bacterium E. coli is widely used to produce recombinant proteins such as growth hormone and insulin. One inconvenience with E. coli cultures is...
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Competitive Exclusion and Coexistence in a Stoichiometric Chemostat Model
In this paper, we incorporate stoichiometry into a competition model in chemostat culture. We first discuss the dynamics of this stoichiometric...
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Lotka–Volterra model with Allee effect: equilibria, coexistence and size scaling of maximum and minimum abundance
The Lotka–Volterra competition model (LVCM) is a fundamental tool for ecology, widely used to represent complex communities. The Allee effect (AE) is...
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Competitive coexistence of seasonal breeders
Many species are annual breeders who, between reproductive events, consume resources and may die. Their resource often reproduces continuously or has...
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Atomistic Simulation of the Coexistence of Liquid–Vapor Phase States for Gold and Determination of Critical Parameters
AbstractThe work is devoted to the study (on the example of gold) of the properties of metals near the critical point. Long-term studies testify to...
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Competitive exclusion and coexistence phenomena of a two-strain SIS model on complex networks from global perspectives
Genetic heterogeneity plays an important role in exploring the interplays of microorganisms. Competitive exclusion principle is the main principle...
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Coexistence of limit cycles in a septic planar differential system enclosing a non-elementary singular point, using Riccati equation
We give a new family of planar polynomial differential systems of degree seven with a non elementary point at the origin. We show the integrability...
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On a Nonlinear Mathematical Model for the Description of the Competition and Coexistence of Different-Language Speakers
We study the well-known three-component nonlinear system of equations of reaction-diffusion-type simulating the processes of competition and...
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Front propagation in both directions and coexistence of traveling fronts and pulses
For a scalar reaction-diffusion equation, a traveling wave is a special type of solution which as a function of time transforms a higher energy...
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A general theory of coexistence and extinction for stochastic ecological communities
We analyze a general theory for coexistence and extinction of ecological communities that are influenced by stochastic temporal environmental...
