Abstract
A nonlinear deterministic model was considered to study the dynamics transmission and control of LASSA fever virus. The total population was divided into seven mutually exclusive classes between human and rodents as susceptible human, exposed humans, infected human, removed human, susceptible rodents, exposed rodents and infected rodents. Existence and uniqueness of the solution of the model were determined, the basic reproduction number is derived the model threshold parameter was examined using next-generation operator method. The existence of disease-free equilibrium point and endemic equilibrium point was carried out. The model result shows that diseases free equilibrium is local asymptotically stable at Ro< 1 and unstable at Ro> 1, the model is globally asymptotically stable. Sensitivity analysis of the model parameters was carried out in order to identify the most sensitive parameters on the disease transmission using data from the Nigeria States.
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