Effects of Dispersal for a Logistic Growth Population in Random Environments | Zendy

Xiaoling Zou | Zendy; Dejun Fan | Zendy; Ke Wang | Zendy

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Effects of Dispersal for a Logistic Growth Population in Random Environments

Author(s) -

Xiaoling Zou,

Dejun Fan,

Ke Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/912579

Subject(s) - biological dispersal , mathematics , stationary distribution , logistic function , diffusion , population , statistical physics , random walk , distribution (mathematics) , statistics , econometrics , mathematical analysis , demography , markov chain , physics , sociology , thermodynamics

We study a stochastic logistic model with diffusion between two patches in this paper. Using the definition of stationary distribution, we discuss the effect of dispersal in detail. If the species are able to have nontrivial stationary distributions when the patches are isolated, then they continue to do so for small diffusion rates. In addition, we use some examples and numerical experiments to reflect that diffusions are capable of both stabilizing and destabilizing a given ecosystem. © 2013 Xiaoling Zou et al.

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