GLOBAL STABILITY OF A STAGE-STRUCTURED PREDATOR–PREY MODEL WITH MODIFIED LESLIE–GOWER AND HOLLING-TYPE II SCHEMES-Reference-Cited by-同舟云学术

GLOBAL STABILITY OF A STAGE-STRUCTURED PREDATOR–PREY MODEL WITH MODIFIED LESLIE–GOWER AND HOLLING-TYPE II SCHEMES

Published:2012-08-22 Issue:06 Volume:05 Page:1250057
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

LI ZHONG¹²,HAN MAOAN¹,CHEN FENGDE²

Affiliation:

1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, P. R. China

Abstract

In this paper, we consider a stage-structured predator–prey model with modified Leslie–Gower and Holling-type II schemes. Using an iterative technique, we investigate the global stability of the positive equilibrium of the system. Finally, some examples are presented to verify our main result.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179352451250057X

Reference30 articles.

1. A time-delay model of single-species growth with stage structure

2. Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes

3. On a nonlinear nonautonomous predator–prey model with diffusion and distributed delay

4. On a Leslie–Gower predator–prey model incorporating a prey refuge

5. Global stability in a diffusive Holling–Tanner predator–prey model

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