Global Dynamics of a Diffusive Leslie-Gower Predator-Prey Model with Fear Effect

Global Dynamics of a Diffusive Leslie-Gower Predator-Prey Model with Fear Effect

Year:    2022

Author:    Zebin Fang, Shanshan Chen, Junjie Wei

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 129–140

Abstract

A diffusive Leslie-Gower predator-prey model with fear effect is considered in this paper. For the kinetic system, we show that the unique positive equilibrium is globally asymptotically stable. Moreover, we find that high levels of fear could decrease the population densities of both prey and predator in a long time. For the diffusive model, we obtain the similar results under certain conditions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2022.129

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 1 : pp. 129–140

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Leslie-Gower predator-prey model Fear effect Global stability.

Author Details

Zebin Fang

Shanshan Chen

Junjie Wei