Electron. J. Diff. Eqns., Vol. 2004(2004), No. 02, pp. 1-11.

Multiple periodic solutions of a discrete time predator-prey systems with type IV functional responses

Zhigang Liu, Anping Chen, Jinde Cao, & Fengde Chen

Abstract:
By using the continuation theorem of Mawhin's coincidence degree theory, some sufficient conditions are obtained ensuring the existence of multiple positive periodic solutions of a discrete time predator-prey systems with type IV functional responses.

Submitted September 2, 2003. Published January 2, 2004.
Math Subject Classifications: 39A11, 92B05.
Key Words: Periodic solution, delayed predator-prey, coincidence degree, type IV functional response, non-autonomous difference equation.

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Zhigang Liu
Department of Mathematics
Xiangnan University
Chenzhou, Hunan 423000, China
email: lzglzglzg4359@sina.com
Anping Chen
Department of Mathematics
Xiangnan University
Chenzhou, Hunan 423000, China
email: anping_chen@hotmail.com
Jinde Cao
Department of Mathematics
Southeast University
Nanjing 210096, China
email: jdcao@seu.edu.cn
Fengde Chen
Department of Mathematics
Fuzhou University,
Fuzhou, Fujian 350002, China
email: fdchen@fzu.edu.cn

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