摘要
对一类食饵具有常数收获率且带有HollingⅢ功能反应的捕食模型进行了研究.通过运用定性分析和Dulac函数法,讨论了模型的正平衡点稳定性、极限环的存在性,得到了平衡点存在条件.
A class of predator-prey of HollingⅢmodel with linear density restriction on both predator and prey is analyzed.The stability of the unique positive equilibrium and the existence of limit cycle are investigated,including the stability of infinity.By using qualitative theory of differential equation,We obtain the conditions of the unique positive equilibrium.
作者
张蓬霞
ZHANG Pengxia(Department of Mathematics,Changzhi University,Changzhi 046011,China)
出处
《太原师范学院学报（自然科学版）》
2021年第2期33-35,共3页
Journal of Taiyuan Normal University:Natural Science Edition
基金
数学系非师范专业《常微分方程》课程教学改革与实践教学研究(JC201913).
关键词
收获率
捕食模型
正平衡点
harvesting rate
predator-prey model
positive equilibrium
