The Influence of Fear Effect to a Discrete-Time Predator-Prey System with Predator Has Other Food Resource

Jialin Chen, Xiaqing He and Fengde Chen
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Jialin Chen: College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China
Xiaqing He: College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China
Fengde Chen: College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China

Mathematics, 2021, vol. 9, issue 8, 1-20

Abstract: A discrete-time predator–prey system incorporating fear effect of the prey with the predator has other food resource is proposed in this paper. The trivial equilibrium and the predator free equilibrium are both unstable. A set of sufficient conditions for the global attractivity of prey free equilibrium and interior equilibrium are established by using iteration scheme and the comparison principle of difference equations. Our study shows that due to the fear of predation, the prey species will be driven to extinction while the predator species tends to be stable since it has other food resource, i.e., the prey free equilibrium may be globally stable under some suitable conditions. Numeric simulations are provided to illustrate the feasibility of the main results.

Keywords: discrete predator-prey system; fear effect; global attractivity; other food resource (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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