On the Mathematical Analysis of a New Lassa Fever Model that Incorporates Quarantine as a Control Strategy

Abstract

In this work we developed and analyze a Mathematical Model for the Spread and Control of Lassa Fever using Quarantine Technique. The model is a first order Ordinary Differential Equations, in which the human population is divided into six mutually- exclusive compartments namely; Susceptible Individuals , Susceptible vector , Infected Human , Quarantine Human , Recovered Human and Infected Vector . The equilibrium states were obtained and their stabilities were analyzed by using Bellman and Cooke’s theorem. The result shows that the endemic equilibrium state is stable and the criteria for stability of the disease free equilibrium state were established. Also, this is the first time a quarantine compartment will be incorporated into a vector borne dynamical model for Lassa fever.