STABILITY PROPERTY OF A PREDATOR-PREY SYSTEM WITH A CONSTANT PROPORTION OF PREY REFUGE AND STAGE-STRUCTURE FOR PREY SPECIES  

作　　者：Tingting Li 

机构地区：[1]College of Math.and Computer Science,Fuzhou University,Fuzhou 350116,Fujian,PR China

出　　处：《Annals of Applied Mathematics》2017年第3期289-307,共19页应用数学年刊（英文版）

基　　金：supported by The National Natural Science Foundation of China(11601085);the Natural Science Foundation of Fujian Province(2017J01400)

摘　　要：A predator-prey system with a constant proportion of prey refuge and stage-structure for prey species is proposed and studied in this paper. A set of conditions for the permanence of the system is obtained. The local stability of the system is discussed by the sign of eigenvalues. Furthermore, by using the iterative method, some suitable sufficient conditions for the global attractivity of the interior equilibrium is obtained. Our study shows that the constant proportion of prey refuge could lead to more complicate dynamic behaviors. Numerical simulations are also presented to illustrate the feasibility of the main results.A predator-prey system with a constant proportion of prey refuge and stage-structure for prey species is proposed and studied in this paper. A set of conditions for the permanence of the system is obtained. The local stability of the system is discussed by the sign of eigenvalues. Furthermore, by using the iterative method, some suitable sufficient conditions for the global attractivity of the interior equilibrium is obtained. Our study shows that the constant proportion of prey refuge could lead to more complicate dynamic behaviors. Numerical simulations are also presented to illustrate the feasibility of the main results.

关 键 词：PREDATOR-PREY STAGE-STRUCTURE REFUGE global stability 

分 类 号：O175[理学—数学]