A mathematical model of cholera in a periodic environment with control actions

• 作者: D.Bekolle G.Kolaye I.Damakoat R.Houe S.Bowong
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: SENSITIZATION SANITATION Vibrio Cholerae\cholera and control
• 年，卷（期）: 2020,（4）
• 页码范围: 109-140
• 页数: 32页
• 分类号: O17

摘要

In this paper,we studied the impact of sensitization and sanitation as possible control actions to curtail the spread of cholera epidemic within a human community.Firstly,we combined a model of Vibrio Cholerae with a gencric SIRS cholera model.Classical control strategies in terms of the sensitization of population and sanitation are integrated through the impulsive differential equations.Then we presented the theoretical analysis of the model.More precisely,we computed the disease free equilibrium.We derive the basic reproduction number R0 which determines the extinction and the persistence of the infection.We show that the trivial disease-free equilibrium is globally asymptotically stable whenever.R0≤1,while when R0>1,the trivial disease-free equilibrium is unstable and there exists a unique endemic equilibrium point which is globally asymptotically stable.Theoretical results are supported by numerical simulations,which further suggest that the control of cholera should consider both sensitization and san itation,with a strong focus on the latter.