毒素影响下的Holling-Tanner捕食者-食饵模型的稳定性分析  

Stability Analysis on a Holling-Tanner Predator-prey Model with Toxins

作　　者：孙芳娟 SUN Fang-juan(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《兰州文理学院学报（自然科学版）》2021年第6期18-20,共3页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金(11761063,11661051)。

摘　　要：研究一类毒素影响下的Holling-Tanner捕食模型非负平衡点的稳定性.运用微分方程理论以及线性化分析讨论带毒素的Holling-Tanner捕食模型和相应的扩散捕食模型非负平衡点的稳定性.The stability of the non-negative equilibrium points of the Holling-Tanner predator-prey model under the influence of a kind of toxin was studied.The stability of the non-negative equilibrium points of the Holling-Tanner predator-prey model with toxin and the corresponding diffusion predator-prey model was discussed by using the differential equation theory and linear analysis.

关 键 词：Holling-Tanner捕食者-食饵模型 毒素 稳定性 

分 类 号：O175.26[理学—数学]