Effective Management of COVID-19 in Nigeria: Investigating the Impact of Treatment and Prevention
S.C.Nwasuka *
Department of Mathematics and Computer Science, Clifford University, Owerrinta, Abia State, Nigeria.
U.A. Osisiogu
Department of Industrial Mathematics, Ebonyi State University Abakaliki, Ebonyi State, Nigeria.
Nwamuruamu Godswill U.
Department of Mathematics and Computer Science, Clifford University, Owerrinta, Abia State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In order to examine the controllability of Covid-19, a non-linear deterministic mathematical model that takes hospitalization, treatment, and prevention strategies into account is developed and examined. The model's solution has been tested for existence, uniqueness, and positivity; the findings demonstrate that the answer is both unique and exists. The effective reproduction number (ℓ) is a threshold parameter that we found to be significant. Covid-19 can be contained and eliminated from the population in a finite amount of time if Reff <1, which indicates the existence of a disease-free equilibrium that is locally and globally asymptotically stable. If Reff > 1, on the other hand, the illness infiltrates and becomes endemic in the population.
Keywords: Stability, effective management, reproduction number, model-fitting, sensitivity analysis and Covid-19