中南民族大学学报（自然科学版）2018，Vol.37Issue(2)：142-146,5.
一类疟疾传播模型的稳定性和后向分支
Stability and Backward Bifurcation of a Malaria Transmission Model
摘要
Abstract
A SIS-SI malaria transmission model is considered.Firstly,the formula of the basic reproduction number is derived by investigating the local asymptotical stability of the infection-free equilibrium.Secondly,it is shown that a unique endemic equilibrium exists when the basic reproduction number is more than unity and two endemic equilibria may exist if the basic reproduction number is less than unity.This indicates that a backward bifurcation may occur when the basic reproduction number is less than unity.The existence of the backward bifurcation is proved,and the global stability of the infection-free equilibrium is also discussed.Finally,numerical simulations are provided to support our theoretical results.关键词
疟疾/平衡点/稳定性/基本再生数/后向分支Key words
malaria/equilibrium/stability/the basic reproduction number/backward bifurcation分类
数理科学引用本文复制引用
殷红燕..一类疟疾传播模型的稳定性和后向分支[J].中南民族大学学报（自然科学版）,2018,37(2):142-146,5.基金项目
中央高校基本科研业务费专项资金资助项目(CZQ13016) （CZQ13016）
