Stability and Hopf Bifurcation Analysis of a Predator-Prey Model with Time Delayed Incomplete Trophic Transfer  

作　　者：Chang-qin ZHANG Liping LIU Ping YAN Lin-zhong ZHANG 

机构地区：[1]School of Sciences, Anhui Agricultural University [2]Department of Mathematics, Lakehead University

出　　处：《Acta Mathematicae Applicatae Sinica》2015年第1期235-246,共12页应用数学学报（英文版）

基　　金：Supported by the Anhui Provincial Department of National Land and Resources with their Science and Technology Project entitled "Research on a Dynamic Monitoring Land Usage,Evaluation and Decision Support Management System in Wanjiang Demonstration Area"(Grant No.2011-K-23);Anhui Agricultural University,China(Grant No.YJ2012-03,No.XK2013029 and No.11201002);The Natural Sciences and Engineering Research Council of Canada

摘　　要：A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model, we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed prey to predator in the Ivlev-type functional responses. The existence and uniqueness of the positive equilibrium of the model and the stability of the equilibrium of the model are studied under various conditions. Hopf bifurcation analysis of the delayed model is provided.A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model, we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed prey to predator in the Ivlev-type functional responses. The existence and uniqueness of the positive equilibrium of the model and the stability of the equilibrium of the model are studied under various conditions. Hopf bifurcation analysis of the delayed model is provided.

关 键 词：incomplete trophic transfer time delay Ivlev-type existence and uniqueness STABILITY HOPFBIFURCATION 

分 类 号：O175[理学—数学]