Threshold dynamics of a reaction-diffusion-advection Leslie-Gower predator-prey system | Zendy

Baifeng Zhang | Zendy; Guohong Zhang | Zendy; Xiaoli Wang | Zendy

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Threshold dynamics of a reaction-diffusion-advection Leslie-Gower predator-prey system

Author(s) -

Baifeng Zhang,

Guohong Zhang,

Xiaoli Wang

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2021260

Subject(s) - advection , predation , extinction (optical mineralogy) , uniqueness , statistical physics , diffusion , reaction–diffusion system , steady state (chemistry) , predator , biological system , mathematics , physics , ecology , biology , mathematical analysis , thermodynamics , chemistry , optics

In this paper, we investigate the global dynamics of a Leslie-Gower predator-prey system in advective homogeneous environments. We discuss the existence and uniqueness of positive steady-state solutions. We study the large time behavior of solutions and establish threshold conditions for persistence and extinction of two species when they live in open advective environments. Numerical simulations indicate that the introduction of advection leads to the evolution of spatial distribution patterns of species and specially it may induce spatial separation of the prey and predator under some conditions.

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