Guoping PangDepartment of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, P.R. CHINA, Fengyan Wang, Jing Hui
Department of Mathematics and Computer Science
Yulin Normal University
Yulin, Guangxi, 537000, P.R. CHINA
Department of Applied Mathematics
Dalian University of Technology
Dalian, Liaoning, 116024, P.R. CHINA
e-mail: [email protected]
College of Science
Jimei University
Xiamen, Fujian, 361021, P.R. CHINA
e-mail: [email protected]
Department of Information and Computation Sciences
Guangxi University of Technology
Liuzhou, Guangxi, 545006, P.R. CHINA
e-mail: [email protected]

Abstract.In this paper, a Holling-Tanner predator-prey system with impulsive ratio-harvested prey is investigated. Using Floquet theory and small amplitude perturbation skills, we obtain the condition under which the boundary periodic solution is stable or unstable. Further, using the Coincidence Degree Theorem and its related continuous theorem, we prove existence of the positive periodic solution of the system.

Received: October 25, 2006

AMS Subject Classification: 34C25, 92D25

Key Words and Phrases: Holling-Tanner, predator-prey system, impulsive effect, periodic solution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 2