文章基本信息

标题：Mathematical Model and Non-Pharmaceutical Control of the Coronavirus 2019 Disease in Madagascar
本地全文：下载
作者：Angelo Raherinirina ; Fontaine Rafamatanantsoa ; Tsilefa Stefana Fandresena 等
期刊名称：Open Journal of Modelling and Simulation
印刷版ISSN：2327-4018
电子版ISSN：2327-4026
出版年度：2021
卷号：9
期号：3
页码：259-274
DOI：10.4236/ojmsi.2021.93017
语种：English
出版社：Scientific Research Publishing
摘要：For Madagascar, with the uncertainty over vaccines against the novel coronavirus 2019 and its variants, non-pharmaceutical approach is widely used. Our objective is to propose a mathematical control model which will serve as a tool to help decision-makers in the strategy to be implemented to better face the pandemic. By separating asymptomatic cases which are often not reported and symptomatic who are hospitalized after tests; we develop a mathematical model of the propagation of covid-19 in Madagascar, by integrating control strategies. We study the stability of the model by expressing the basic reproduction number using the next-generation matrix. Simulation with different parameters shows the effects of non-pharmaceutical measures on the speed of the disease spread. By integrating a control parameter linked to compliance with barrier measures in the virus propagation equation, we were able to show the impacts of the implementation of social distancing measures on the basic reproduction number. The strict application of social distancing measures and total confinement is unfavorable for economic situation even if they allow the contamination to be reduced quickly. Without any restrictions, the disease spreads at high speed and the peak is reached fairly quickly. In this condition, hospitals are overwhelmed and the death rate increases rapidly. With 50% respect for non-pharmaceutical strategies such as rapid detection and isolation of positive cases and barrier gestures; the basic reproduction number R0 can go down from 3 to 1.7. The pressures on the economic and social situation are rather viable. It is the most suitable for the Malagasy health system. The results proposed are a way to control the spread of the disease and limit its devastation in a country like Madagascar.
关键词：Covid-19 Madagascar;Epidemic Model;Non-Pharmaceutical Control;Equilibrium Points;Stability Analysis;Reproduction Number