Threshold Condition for Elimination of Zoonotic Visceral Leishmaniasis

Abstract

In most of the communicable diseases the Disease Free State is obtained but after some time the new outbreaks of the infection are observed in the population. Same is the case with Visceral Leishmaniasis. We in this work focus to find threshold condition for the global stability of Disease Free State of Visceral strain of Leishmaniasis. For this comprehensive mathematical model of Kala Azar and Post Kala Azar strains of Leishmaniasis is formulated. The reproduction number M0 and its biological interpretation is discussed. On the basis of the transmission sensitivity of the parameters some non-pharmaceutical interventions are made, called control strategies. With the help of these strategies Disease Free State is obtained. Finally threshold condition condition is obtained to maintain the state. Numerical simulations are performed to verify the findings.