一类具有修正的Leslie-Gower功能反应的生态-流行病模型  

Study of an Eco-epidemiological Model with Modified Leslie-Gower Functional Response

作　　者：周学勇 刘爽 李永凤 ZHOU Xueyong;LIU Shuang;LI Yongfeng(School of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China;College of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450001,China)

机构地区：[1]信阳师范学院数学与统计学院,河南信阳464000 [2]郑州轻工业大学数学与信息科学学院,河南郑州450001

出　　处：《应用数学》2022年第3期628-633,共6页Mathematica Applicata

基　　金：国家自然科学基金(11701495);河南省自然科学基金(222300420521);河南省科技攻关项目(202102310631)。

摘　　要：建立并分析一类具有修正的Leslie-Gower功能反应的生态-流行病模型,讨论了系统解的正性、有界性.计算出了模型的平衡点,分析了平衡点的局部稳定性及正平衡点附近Hopf分支的存在性.最后,借助数学软件Matlab 2018a对模型进行了数值模拟.A kind of eco-epidemiological model with modified Leslie-Gower functional response is established and analyzed.The positivity and boundedness of the solutions for the model are discussed.The equilibrium points of the model are calculated,and the local stability of the equilibrium points is further analyzed.The existence of Hopf bifurcation around the positive equilibrium is discussed.Finally,the numerical simulation of the model is carried out by means of mathematical software Matlab 2018 a.

关 键 词：生态-流行病模型 平衡点 局部稳定性 HOPF分支 

分 类 号：O175.13[理学—数学]