Work

Spatial dynamics of some modified Leslie-Gower prey-predator model in time-periodic shifting environments

Year: 2025

Type: article

Abstract: In this paper, we will mainly study the spatial dynamics of the Leslie-Gower prey-predator model in time-periodic shifting environments. By using the squeezing technique and the upper-lower solution method, we first establish the existence of time-periodic forced waves connecting the extinction state to the co-existence state or connecting the extinction state to itself. Then, we discuss the spreading properties of this model. We concern the extinction and persistent conditions of two species under different ranges of the shifting habitat edge constant $ c $. Finally, we give some numerical simulations to illustrate the analytical results.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025125

Authors: Yue Li, Hongmei Cheng

Institution: Shandong Normal University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

OpenAlex ID: W4412955266

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Cites: 41

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Related to: 10