GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS-Reference-Cited by-同舟云学术

GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS

Published:2008-06 Issue:02 Volume:01 Page:197-208
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

JIAO JIANJUN¹²,CHEN LANSUN²

Affiliation:

1. School of Mathematics and Statistics, Guizhou College of Finance & Economics, Guiyang 550004, P. R. China

2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P. R. China

Abstract

In this work, we consider a delayed stage-structured variable coefficients predator-prey system with impulsive perturbations on predators. By using the discrete dynamical system determined by stroboscopic map and the standard comparison theorem, we obtain the sufficient conditions which guarantee the global attractivity of prey-extinction periodic solution of the investigated system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactic basis for the practical pest management.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524508000163

Reference30 articles.

1. Theory of Impulsive Differential Equations

2. Models for Pest Control Using Predator Release, Habitat Management and Pesticide Release in Combination

3. A ratio-dependent predator–prey model with disease in the prey

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