THE EFFECT OF REFUGE AND PROPORTIONAL HARVESTING FOR A PREDATOR-PREY SYSTEM WITH REACTION-DIFFUSION  

作　　者：Xueru Lin 

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

出　　处：《Annals of Applied Mathematics》2020年第3期235-247,共13页应用数学年刊（英文版）

基　　金：the foundation of Fujian Education Bureau(JT180041).

摘　　要：A diffusive predator-prey system with Holling-Tanner functional response and no-flux boundary condition is considered in this work.By using upper and lower solutions combined with iteration method,sufficient condition which ensures the global asymptotical stability of the unique positive equilibrium of the system is obtained.It is shown that the prey refuge and the proportional harvesting can influence the global asymptotical stability of unique positive equilibrium of the system,furthermore,they can change the position of the unique interior equilibrium and make species coexist more easily.

关 键 词：reaction-di usion system iteration method global asymptotical stability prey refuge proportional harvesting 

分 类 号：O175[理学—数学] Q141[理学—基础数学]