IJPAM: Volume 47, No. 1 (2008)
PERIODIC SOLUTION OF DIFFUSIVE PREDATOR-PREY
SYSTEM TIME DELAY AND TYPE III
FUNCTIONAL RESPONSE
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
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