Mathematical modelling of the transmission dynamics and control of Lassa fever by incorporating isolation and recovered with complications compartments

Abstract

In this paper, a mathematical model on the transmission dynamics and control of Lassa fever was developed and analyzed. We considered two interacting populations of humans and rodents. The human population is divided into six compartments including the compartment of individuals that recovered with complications. And the rodent population is partitioned into three compartments. Existence of disease-free and endemic equilibriums was established. Using the next generation operator approach we find the effective reproduction number R_h and R_r which signifies local asymptotic stability of the disease-free equilibrium whenever R_h and R_r is less than unity. Using Lyapunov theorem we further established the global asymptotical stability of the disease free equilibrium whenever R_h ≤ 1 and R_r ≤1. The paper has shown the possibility of a disease free equilibrium which can be globally stable.