IJPAM: Volume 12, No. 2 (2004)
ANALYSIS OF PERIODIC PREDATOR-PREY
SYSTEM WITH DISPERSAL
SYSTEM WITH DISPERSAL
Hua Li
, Jingan Cui
, Lansun Chen
School of Economics and Management
Xidian University
Xi'an 710071, P.R. CHINA
e-mail: lihua@xidian.edu.cn
Department of Mathematics
Nanjing Normal University
Nanjing 210097, P.R. CHINA
e-mail: cuija@pine.njnu.edu.cn
Institute of Mathematics
Academy of Mathematics and Systems Sciences
Chinese Academy of Sciences
Beijing 100080, P.R. CHINA
e-mail: lschen@math08.math.ac.cn
, Jingan Cui, Lansun Chen
School of Economics and Management
Xidian University
Xi'an 710071, P.R. CHINA
e-mail: lihua@xidian.edu.cn
Department of Mathematics
Nanjing Normal University
Nanjing 210097, P.R. CHINA
e-mail: cuija@pine.njnu.edu.cn
Institute of Mathematics
Academy of Mathematics and Systems Sciences
Chinese Academy of Sciences
Beijing 100080, P.R. CHINA
e-mail: lschen@math08.math.ac.cn
Abstract.This paper consider the permanence of a periodic
predator-prey system, where the prey disperse in two-patch
environment. We assume the Holling type predator functional
response within-patch dynamics and provide a sufficient and
necessary condition to guarantee the predator and prey species to
be permanent.
Received: January 15, 2004
AMS Subject Classification: 92D25, 34C60
Key Words and Phrases: predator-prey system,predator functional response, dispersal, permanence
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 12
Issue: 2
