Multiple periodic solutions in delayed Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses

Authors:
Xiaoquan Ding;Jifa Jiang
Affiliations:
Department of Mathematics, Tongji University, Shanghai 200092, PR China and Department of Mathematics and Information Science, Shandong Agricultural University, Tai'an, Shandong 271018, PR China;Department of Mathematics, Tongji University, Shanghai 200092, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

Citing 2
Cited 1

Global analyses in some delayed ratio-dependent predator-prey systems

Nonlinear Analysis: Theory, Methods & Applications
Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response

Journal of Computational and Applied Mathematics

Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response

Mathematical and Computer Modelling: An International Journal

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Abstract

By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of multiple periodic solutions in delayed Gause-type ratio-dependent predator-prey systems with numerical responses. As corollaries, some applications are listed.