TITLE:
Mathematical Model and Non-Pharmaceutical Control of the Coronavirus 2019 Disease in Madagascar
AUTHORS:
Angelo Raherinirina, Fontaine Rafamatanantsoa, Tsilefa Stefana Fandresena, Rivo Andry Rakotoarivelo
KEYWORDS:
Covid-19 Madagascar, Epidemic Model, Non-Pharmaceutical Control, Equilibrium Points, Stability Analysis, Reproduction Number
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.9 No.3,
July
19,
2021
ABSTRACT: 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.