title: Multiple periodic solutions of a delayed predator-prey model with non-monotonic functional response and stage structure.
abstract: The paper studies a periodic and delayed predator-prey system with non-monotonic functional responses and stage structure. In the system, both the predator and prey are divided into immature individuals and mature individuals by two fixed ages. It is assumed that the immature predators cannot attack preys, and the case of the mature predators attacking the immature preys is also ignored. Based on Mawhin's coincidence degree, sufficient conditions are obtained for the existence of two positive periodic solutions of the system. An example is presented to illustrate the feasibility of the main results.
authors: a College of Science , Hunan Agricultural University , Changsha , Hunan 410128 , People's Republic of China.
authors: Yingyuan
authors: Y
authors: Liu
authors: Xiaolan
authors: X
authors: Zhang
authors: Tiejun
authors: T
authors: Zhou
mesh_terms: D000818:Animals; D008954:Models, Biological; D010507:Periodicity; D011235:Predatory Behavior / Q000502:physiology*
keywords: 34C25; 92B05; multiple periodic solutions; non-monotone functional response; predator–prey system; stage structure