Abstract
We present and explore a novel mathematical treatment model of the epidemiology of Lassa Fever (LF). The model is a system of nonlinear ordinary differential equation model for rodent and human population. We analyzed the model to find the stability of the disease-free equilibrium and test which model parameters affect this stability most significantly. The purpose of this paper is to investigate the impact of treatment on the control of LF. The analysis revealed that treatment rate of humans will have a positive impact in reducing the burden of LF in the population. Our model predicts that treatment control can reduce the population level transmission by up to 12% alone without existing interventions. Therefore, treatment has significant effect on LF transmission, but it may not be able to eliminate the disease unless a multiple control strategy is adopted. Finally, some numerical simulations were carried out to support our theoretical results.
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