Electronic Journal of Differential Equations, Vol. 2004(2004), No. 02, pp. 1-11. Title: Multiple periodic solutions of a discrete time predator-prey systems with type IV functional responses Authors: Zhigang Liu (Xiangnan Univ., Chenzhou, China) Anping Chen (Xiangnan Univ., Chenzhou, China) Jinde Cao (Southeast Univ., Nanjing, China) Fengde Chen (Fuzhou Univ., Fujian, China) 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.