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

被引：1
|
作者：
Xueru Lin [1 ]
机构：
[1] College of Mathematics and Computer Science, Fuzhou University
来源：
Annals of Applied Mathematics | 2020年 / 36卷 / 03期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程]; Q141 [数学生态学与生物模型];
学科分类号：
0701 ; 070104 ;
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.
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页码：235 / 247
页数：13
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