A Markov-switching predator–prey model with Allee effect for preys-Reference-Cited by-同舟云学术

A Markov-switching predator–prey model with Allee effect for preys

Published:2020-03-25 Issue:03 Volume:13 Page:2050018
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Guo Xiaoxia¹²,Guo Zhiming¹^ORCID

Affiliation:

1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, P. R. China

2. Department of Mathematics and Statistics, Concordia University, Montreal-H3G2W1, Canada

Abstract

This paper concerns with a Markov-switching predator–prey model with Allee effect for preys. The conditions under which extinction of predator and prey populations occur have been established. Sufficient conditions are also given for persistence and global attractivity in mean. In addition, stability in the distribution of the system under consideration is derived under some assumptions. Finally, numerical simulations are carried out to illustrate theoretical results.

Funder

National Natural Science Foundation of China

Program for Chang Jiang Scholars and Innovative Research Team in University

Innovation Research for the postgraduates of Guangzhou University

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524520500187

Reference37 articles.

1. Permanence and Extinction of Regime-Switching Predator-Prey Models

2. Demography of plains zebras (Equus quagga) under heavy predation

3. Permanence of periodic Holling type predator–prey system with stage structure for prey

4. Inverse density dependence and the Allee effect

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