Effects of dispersal speed and strong Allee effect on stability of a two-patch predator–prey model

被引：0

作者：

Pal D. ^{[1
]}

Samanta G.P. ^{[2
]}

机构：

[1] Chandrahati Dilip Kumar High School (H.S.), Chandrahati, 712504, West Bengal

[2] Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah

来源：

Pal, D. (pal.debkumar@gmail.com) | 2018年 / Springer Science and Business Media Deutschland GmbH卷 / 06期

关键词：

Allee effect; Dispersal; Local stability; Persistence; Predator–prey model;

D O I：

10.1007/s40435-018-0407-1

中图分类号：

学科分类号：

摘要：

This paper presents a population-dispersal dynamics for predator–prey interactions in a two patch environment with a strong Allee effect in prey population growth in patch one. It is considered that both prey species are movable and their dispersal between patches is directed to the higher fitness patch. Existence of non trivial equilibrium and stability of the system at this equilibrium point is studied in the presence and absence of dispersal speed. It is observed that the system without dispersal is unstable for certain condition and the system with dispersal is always persists. Rigorous numerical simulations are carried out using MATLAB, for a hypothetical set of parameter values to support our analytical findings. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

引用

页码：1484 / 1495

页数：11

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