|Table of Contents|

On the Qualitative Analysis of Delayed Predator-Prey Model with Epidemic in the Predator(PDF)

《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2009年05期
Page:
89-92
Research Field:
数理科学
Publishing date:

Info

Title:
On the Qualitative Analysis of Delayed Predator-Prey Model with Epidemic in the Predator
Author(s):
LI Dong-mei; ZHANG Feng; SONG Ying-wei
School of Applied Science; Harbin University of Science and Technology; Harbin 150080; China
Keywords:
predator-prey model asymptotical stability delay threshold hopf bifurcation
PACS:
O175.1
DOI:
-
Abstract:
A system of retarded functional differential equations is proposed as a predator-prey model with epidemic in the predator.The nature of boundary equilibria and global stability are analyzed.A threshold is identified which determines the outcome of the disease.This paper shows that positive equilibrium is locally asymptotically stable when time delay τ is suitable small,while a loss of stability by a Hopf bifurcation can occur as the delay increases.

References:

-

Memo

Memo:
-
Last Update: 2009-12-16