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.
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.
作者
刘晗嫣
谢景力
舒晴
LIU Hanyan;XIE Jingli;SHU Qing(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
出处
《吉首大学学报（自然科学版）》
CAS
2022年第1期20-25,共6页
Journal of Jishou University(Natural Sciences Edition)
