宁夏大学学报（自然科学版）2023，Vol.44Issue(4)：309-316,8.
具有隔离和接种的霍乱模型稳定性分析
Stability Analysis of Cholera Model with Isolation and Vaccination
摘要
Abstract
A SIQRB model with isolation and vaccination is proposed,which includes both direct and indirect transmission pathways.The dynamic characteristics of the model are analyzed in detail,and the global asymptotic stability of disease-free equilibrium is proved by geometric method when R0＜1;The global asymptotic stability of endemic equilibrium is proved by constructing Lyapunov function when R0＞1.In addition,the sensitivity analysis of basic reproduction number R0 is analyzed,considering the impact of increasing isolation rate 8 and vaccination rate v on cholera infected people,and the theoretical results are supported by numerical simulation.关键词
霍乱模型/基本再生数/稳定性/敏感性Key words
cholera model/basic reproduction number/stability/sensitivity分类
数理科学引用本文复制引用
黑媛媛,胡新利,郑田田..具有隔离和接种的霍乱模型稳定性分析[J].宁夏大学学报（自然科学版）,2023,44(4):309-316,8.基金项目
陕西省自然科学基金资助项目(2021JM-445) （2021JM-445）
