Permanence and periodicity of a delayed ratio-dependent predator-prey model with Holling type functional response and stage structure

Authors:
Zuxiong Li;Lansun Chen;Jianmin Huang
Affiliations:
School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, People's Republic of China;School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, People's Republic of China;College of Computer Science and Information Technology, Guangxi Normal University, Guilin 541004, People's Republic of China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

A periodic and delayed ratio-dependent predator-prey system with Holling type III functional response and stage structure for both prey and predator is investigated. It is assumed that immature predator and mature individuals of each species are divided by a fixed age, and immature predator do not have the ability to attack prey. Sufficient conditions are derived for the permanence and existence of positive periodic solution of the model. Numerical simulations are presented to illustrate the feasibility of our main results.