Stability and Lyapunov functions for the dynamics of Leptospirosis

In this paper, we study the Lyapunov functions to show the stability of Leptospirosis transmission model. Leptospirosis is the most common bacterial zoonosis worldwide, caused by spirochetes of the genus Leptospira that are transmitted from infected animals to humans. The population of the human population is divided into four compartments, Susceptible, Exposed, Infectious and Recovered. The mouse population is separated to three classes, Susceptible, Exposed and Infectious. The globally asymptotically for two equilibrium states are analyzed.