MATHEMATICAL MODEL FOR LASSA FEVER TRANSMISSION DYNAMICS WITH VARIABLE HUMAN AND RESERVOIR POPULATION

O. S. Obabiyi, Akindele A. Onifade

Abstract


A new mathematical model for Lassa fever is presented with focus on two populations: Humans and rodents. Maximum  principle theorem is used  to establish the positivity and the boundedness results of solutions . Conditions are derived for existence of disease free and endemic equilibria, and stabilities analysed. A threshold parameter $R_0(a_i)$ exists and the disease can persist if and only if $R_0(a_i)$ exceeds 1. Finally, numerical simulations of the model using a set of reasonable parameter values are carried out to investigate the effectiveness of diagnostic factors. This study suggests that early diagnostic (early treatment) of infected humans, maintaining hygienic environment, use of new needle when taking injection and control of the rodent carrying the virus are the best strategies against the spread of the disease.

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