Mathematical Model for the Dynamics of Lassa Fever Incorporating Treatment and Isolation

Abstract

Lassa Fever (Hemorrhagic Fever) is a widespread disease cause by Mastomys rodent and cause serious health problem leading to loss of lives. This research aims to analyze some existing with the intention of modifying or developing new one Mathematical Model for the Dynamics of Lassa Fever Incorporating Treatment and Isolation. We establish the positivity, boundedness, diseases free and endemic equilibria, basic reproduction number, local and global stability and carried out numerical simulation of the modified model. We formulate and analyze deterministic mathematical model of nine compartments for the transmission dynamics of Lassa Fever infection using a non-linear ordinary differential equation. We investigated a dynamic behavior of the modified model and performed the qualitative analysis of the model. The system has two equilibrium points, namely the disease-free equilibrium and the endemic equilibrium points. The basic reproduction number was calculated using the next-generation matrix and the stability of the model equations were carried out using MATLAB R2021a. the finding of this study shows that Lassa Fever can be significantly curtailed having the basic reproduction number less than unity and that if the implementation of Lassa Fever treatment, isolation is very effective this can reduced or eliminate the number of infected individuals.