Existence of Equilibrium Solutions to a Size-Structured Predator-Prey System with Functional Response  

作　　者：LIU Keying,LIU Weian School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China 

出　　处：《Wuhan University Journal of Natural Sciences》2009年第5期383-387,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10471108)

摘　　要：In this paper, we consider a nonlinear size-structured population model with functional response, which describes the dynamics of a predator-prey system living in a common habitat. We present a kind of functional response for the prey being a plant or algae, and explain its biological meanings. When the vital rates depend both on the individual＇s size and on the total population or only depend on the former, we obtain the existence of equilibrium solutions.In this paper, we consider a nonlinear size-structured population model with functional response, which describes the dynamics of a predator-prey system living in a common habitat. We present a kind of functional response for the prey being a plant or algae, and explain its biological meanings. When the vital rates depend both on the individual＇s size and on the total population or only depend on the former, we obtain the existence of equilibrium solutions.

关 键 词：equilibrium solutions functional response predator- prey system size-structured population model 

分 类 号：Q141[生物学—生态学] O175.15[生物学—普通生物学]