| 具有阶段结构的SIS型传染病模型的动力学性质 |
| |
| 引用本文： | 刘晗嫣,谢景力,舒晴.具有阶段结构的SIS型传染病模型的动力学性质[J].吉首大学学报(自然科学版),2022,43(1):20-25. |
| |
| 作者姓名： | 刘晗嫣 谢景力 舒晴 |
| |
| 作者单位： | (吉首大学数学与统计学院，湖南 吉首 416000) |
| |
| 摘 要： | 研究了Beddington-DeAngelis型功能反应对一类具有阶段结构和SIS型传染病的捕食者-食饵模型的动力学性质的影响.运用常数变易法证明了正解的存在性和解的有界性，结合特征方程得到了各平衡点局部稳定的条件，并通过Lyapunov函数和LaSalle不变原理获得了平衡点全局稳定的条件.
|
| 关 键 词： | 捕食者-食饵模型 阶段结构 SIS型传染病 Beddington-DeAngelis型功能反应 全局稳定 |
Dynamic Properties of SIS Epidemic Model with Stage Structure |
| |
| LIU Hanyan,XIE Jingli,SHU Qing.Dynamic Properties of SIS Epidemic Model with Stage Structure[J].Journal of Jishou University(Natural Science Edition),2022,43(1):20-25. |
| |
| Authors: | LIU Hanyan XIE Jingli SHU Qing |
| |
| Institution: | (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China) |
| |
| Abstract: | The dynamic properties of a Beddington-DeAngelis type functional response predator-prey model with stage structure and SIS epidemic are studied.The existence and stability conditions of positive solutions are proved through the method of constant variation.The local stability conditions of each equilibrium point are obtained by using the characteristic equation,and the global stability conditions of each equilibrium point are obtained by using Lyapunov function and LaSalle invariance principle. |
| |
| Keywords: | predator-prey model stage structure SIS epidemic Beddington-DeAngelis functional response global stability |
|
| 点击此处可从《吉首大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《吉首大学学报(自然科学版)》下载免费的PDF全文 |
