Paper Title:
Dynamical Behaviors for a Predator-Prey System with State-Dependent Impulsive Effects
  Abstract

With some theory about continuous and impulsive dynamical system, an impulsive model based on a special predator-prey system is considered. We assume that the impulsive effects occur when the density of the prey reaches a given value. For such a state-dependent impulsive system, the existence, uniqueness and orbital asymptotic stability of an order-1 periodic solution are discussed. Further, the existence of an order-2 periodic solution is also obtained, and persistence of the system is investigated.

  Info
Periodical
Edited by
Han Zhao
Pages
385-390
DOI
10.4028/www.scientific.net/AMM.130-134.385
Citation
L. Z. Dong, L. S. Chen, "Dynamical Behaviors for a Predator-Prey System with State-Dependent Impulsive Effects", Applied Mechanics and Materials, Vols. 130-134, pp. 385-390, 2012
Online since
October 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Ting Wu
Chapter 16: Computer Applications in Industry and Engineering
Abstract:By using the Floquet’s theorem and the comparison theorem of impulsive and differential equation we give sufficient conditions for the...
2060
Authors: Yuan Yuan
Chapter 1: Researching and Designing in Mechanical Engineering, Mechatronics, Automation and Control
Abstract:A delayed predator-prey model with stage structure for predator and ratio dependent response function is considered. By calculating...
655