山西大学学报（自然科学版）2024，Vol.47Issue(2)：313-327,15.DOI:10.13451/j.sxu.ns.2023064
一类具有离散时滞与不同传染性的霍乱模型研究
Research on a Class of Cholera Model with Discrete Delay and Different Infectious
摘要
Abstract
In this paper,a delayed cholera model with vaccination strategy,mixed infection of hyperinfectious and hypoinfectious cholera vibrios,direct and indirect transmission pathways is established.The basic reproduction number R0 is obtained,by which the local and global asymptotic stability of the disease-free equilibrium is obtained if R0<1,while the endemic equilibrium is globally asymptotically stable if R0>1.In addition,the theoretical results are illustrated by numerical simulations.It is found that time delay has important effect on cholera propagation,the dynamics of system with delay can be the same,different or even opposite to that of system without delay.Ignoring the influence of delay could overestimate the spread of cholera and cost more to control it.关键词
时滞/高低传染性霍乱弧菌/疫苗接种/基本再生数/全局渐近稳定性Key words
time delay/hyperinfectious and hypoinfectious cholera vibrios/vaccination/basic reproduction number/globally asymp-totic stability分类
数理科学引用本文复制引用
张育茹,桑媛,宋冰,张龙..一类具有离散时滞与不同传染性的霍乱模型研究[J].山西大学学报（自然科学版）,2024,47(2):313-327,15.基金项目
新疆应用数学重点实验室开放课题(2021D04014) （2021D04014）
国家自然科学基金(12261087 （）
11861065) （）
新疆维吾尔自治区高校科研重点项目(XJEDU2021I002) （XJEDU2021I002）
新疆维吾尔自治区自然科学基金(2022D01E41) （2022D01E41）
