湖北民族大学学报（自然科学版）2025，Vol.43Issue(2)：272-279,8.DOI:10.13501/j.cnki.42-1908/n.2025.03.020
具有免疫衰退和多感染方式的非线性霍乱模型全局动力学与应用
Global Dynamics and Applications of a Nonlinear Cholera Model with Immune Decline and Multiple Infection Modalities
摘要
Abstract
In order to deeply understand the dynamical behavior of cholera transmission and explore feasible control measures in complex environments for cholera,a cholera epidemic model was constructed with waning vaccine-induced immunity,multiple infection pathways and nonlinear incidences.The basic reproduction number was calculated by application of the next-generation matrix method,and the Volterra-type Lyapunov function was constructed to obtain the global threshold dynamics determined by the basic reproduction number.Furthermore,combined with the related data from the Federal Republic of Somalia,the key parameters were estimated,and the sensitivity analysis of the basic reproduction number was further conducted.The results indicated that enhancing the vaccination rate and the treatment rate for infectious individuals,and purifying water sources were significantly effective measures for controlling the cholera epidemic.This study could serve as a theoretical reference for curbing the spread of cholera in complex environments.关键词
霍乱传播/非线性发生率/隐性感染/全局稳定性/复杂环境/敏感性分析Key words
cholera transmission/nonlinear incidence/asymptomatic infection/global stability/complex environment/sensitivity analysis分类
数理科学引用本文复制引用
葛星,王连文..具有免疫衰退和多感染方式的非线性霍乱模型全局动力学与应用[J].湖北民族大学学报（自然科学版）,2025,43(2):272-279,8.基金项目
国家自然科学基金项目(12001178). （12001178）
