Results 21 to 30 of about 321 (87)
Does a population with the highest turnover coefficient win competition?
, 2017 We consider a discrete time competition model. Populations compete for common limited resources but they have different fertilities and mortalities rates. We compare dynamical properties of this model with its continuous counterpart.
Rudnicki, Ryszard
core +1 more source
Spreading Speed, Traveling Waves, and Minimal Domain Size in\ud Impulsive Reaction-diffusion Models [PDF]
, 2012 How growth, mortality, and dispersal in a species affect the species’ spread and persistence constitutes a central problem in spatial ecology. We propose impulsive reaction-diffusion equation models for species with distinct reproductive and dispersal ...
Lewis, M. A., Li, B.
core
On the weakly competitive case in a two-species chemotaxis model
, 2016 In this article we investigate a parabolic-parabolic-elliptic two-species chemotaxis system with weak competition and show global asymptotic stability of the coexistence steady state under a smallness condition on the chemotactic strengths, which seems ...
Black, Tobias +2 more
core +1 more source
Coinvasion-Coexistence Traveling Wave Solutions of an Integro-Difference Competition System [PDF]
, 2013 This paper is concerned with the traveling wave solutions of an integro-difference competition system, of which the purpose is to model the coinvasion-coexistence process of two competitors with age structure.
Lin, Guo, Pan, Shuxia
core
Limit theorems for supercritical age-dependent branching processes with neutral immigration [PDF]
, 2010 We consider a branching process with Poissonian immigration where individuals have inheritable types. At rate theta, new individuals singly enter the total population and start a new population which evolves like a supercritical, homogeneous, binary ...
Richard, Mathieu
core
Local approximation of a metapopulation's equilibrium
, 2018 We consider the approximation of the equilibrium of a metapopulation model, in which a finite number of patches are randomly distributed over a bounded subset $\Omega$ of Euclidean space.
Barbour, A. D. +2 more
core +1 more source
Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems
, 2010 Much has been studied on the spreading speed and traveling wave solutions for cooperative reaction-diffusion systems. In this paper, we shall establish the spreading speed for a large class of non-cooperative reaction-diffusion systems and characterize ...
Wang, Haiyan
core +1 more source
, 2015 This article studies the quasi-stationary behaviour of multidimensional birth and death processes, modeling the interaction between several species, absorbed when one of the coordinates hits 0.
Champagnat, Nicolas, Villemonais, Denis
core +1 more source
Splitting trees stopped when the first clock rings and Vervaat's transformation
, 2011 We consider a branching population where individuals have i.i.d.\ life lengths (not necessarily exponential) and constant birth rate. We let $N_t$ denote the population size at time $t$. %(called homogeneous, binary Crump--Mode--Jagers process).
Lambert, Amaury, Trapman, Pieter
core
, 2013 We consider a dynamic metapopulation involving one large population of size N surrounded by colonies of size \varepsilon_NN, usually called peripheral isolates in ecology, where N\to\infty and \varepsilon_N\to 0 in such a way that \varepsilon_NN\to\infty.
Lambert, Amaury, Ma, Chunhua
core