具有下渗反馈效应的水-植物模型的动力学分析  

Dynamics Analysis of Water-Plant Model with Infiltration Feedback

作　　者：周爱蓉 王稳地[1] 李艳[1] 何楠 ZHOU Ai-rong,WANG Wen-di,LI Yan,HE Nan(School of Mathematics and Statistic, Southwest University, Chongqing 400715, Chin)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2018年第5期6-10,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11571284)

摘　　要：建立了具有Holling-II功能反应和下渗反馈效应的水-植物模型.首先通过分析平衡点的局部稳定性,得到了Hopf分支的产生条件.然后通过构造Dulac函数得到了极限环的不存在条件.最后得到了裸土平衡点和正平衡点的全局稳定性.In this paper, we develop a water-plant model with Holling-II function response and infiltration feedback. Firstly through an analysis of local stability of the equilibriums, we present existence conditions of Hopf bifurcation. Then by constructing Dulac function, we show the nonexistence conditions of limit cycle. Finally, we discuss global stability of equilibriums.

关 键 词：水-植物模型 稳定性 HOPF分支 

分 类 号：O175[理学—数学]