Modeling and Sensitivity Analysis of Dynamical Transmission of Lassa Fever

Abstract

Lassa fever is an acute viral disease which occurs across West Africa regions. In view of this a non-linear deterministic model was considered to study dynamics spread of Lassa fever. Existence and uniqueness of the model were determined and the basic reproduction number of the model was computed using next-generation matrix, and sensitivity analysis of the model was performed and shows that the most sensitive parameters to the dynamical spread of Lassa fever are human birth rate bH, followed by average number of female partners acquired by susceptible male c2, and transmission rate resulting from sexual interaction between infected male and susceptible female h2 have the highest values. It concludes that average number of female partners acquired by susceptible male and sexual transmission rate between the infected male and susceptible female should be reduced. Keywords: Existence and Uniqueness, disease free equilibrium, basic reproduction numbers and sensitivity analysis.