IJPAM: Volume 47, No. 1 (2008)

PERIODIC SOLUTION OF DIFFUSIVE PREDATOR-PREY
SYSTEM TIME DELAY AND TYPE III
FUNCTIONAL RESPONSE

Liu Qiong
Department of Mathematics and Computer Science
Guangxi Qinzhou University
Qinzhou, Guangxi, 535000, P.R. CHINA
e-mail: liuq03@163.com


Abstract.A nonautonomous diffusive predator-prey model with time delay and type III functional response is studied. By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution of the investigated system is established.

Received: April 8, 2008

AMS Subject Classification: 34K13, 34K60, 92D25

Key Words and Phrases: periodic solution, type III functional response, diffusion, time delay, coincidence degree

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 1