Modeling and analysis of a predator-prey model with state-dependent delay  

作　　者：Yunfei Lv Yongzhen Pei Rong Yuan 

机构地区：[1]School of Science, Tianjin Polytechnic University Tianjin 300387, P. R. China [2]School of Mathematical Sciences Beijing Normal University, Beijing 100875, P. R. China

出　　处：《International Journal of Biomathematics》2018年第2期241-262,共22页生物数学学报（英文版）

摘　　要：We propose and study a predator prey model with state-dependent delay where the prey population is assumed to have an age structure. The state-dependent delay appears due to the mature condition that the prey must spend an amount of time in the immature stage sufficient to accumulate a threshold amount of food. We perform a qualitative analysis of the solutions, which includes studying positivity and boundedness, existence and local stability of equilibria. For the global dynamics of the system, we discuss an attracting region which is determined by solutions, and the region collapses to the interior equilibrium in the constant delay case.

关 键 词：Mature condition state-dependent delay predator-prey model BOUNDEDNESS STABILITY persistence. 

分 类 号：Q959.838[生物学—动物学] TS7[轻工技术与工程—制浆造纸工程]