一类食饵染病的捕食者-食饵扩散模型的稳定性分析  

Stability Analysis of a Predator-Prey Diffusion Model with Prey Diseases

作　　者：苏发儒 SU Fa-ru(College 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）》2019年第1期26-29,92,共5页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金(11361055;11761063)

摘　　要：对疾病仅在食饵种群中传播且捕食者只捕食染病食饵的一类生态-流行病扩散模型进行了研究.利用偏微分方程的定性和理论,考虑了系统解的整体存在性和一致有界性,应用线性化方法和Routh-Hurwitz判别法讨论了反应扩散系统正平衡点的局部渐近稳定性.An eco-epidemic diffusion model in which the disease only propagates in the prey population and the predator only preys on the infected prey is studied.The global existence and uniform boundedness of the system solution are considered by using the qualitative and theoretical methods of partial differential equations.The local asymptotic stability of the positive equilibrium point of the reactiondiffusion system is discussed by linearization method and Routh-Hurwitz discriminant method.

关 键 词：生态-流行病模型 扩散 平衡解 稳定性 

分 类 号：O175.26[理学—数学]