Leptospirosis disease is one of the widespread zoonotic diseases which is caused by Leptospira. The Leptospirosis spreads from person to person, vector to person, person to vector and vector to vector. In this research, we add on the contact rate between susceptible vector and infected vector to the model that presented in [3]. We prove that this model is biologically valid by performing positivity and boundedness method. Then, we obtain the stability conditions for disease free and endemic equilibrium. The disease free equilibrium is locally asymptotically stable when 1 0  R and locally asymptotically stable for endemic equilibrium if 1 0  R . Finally, we perform numerical simulation to show analytical results.
Volume 11 | 12-Special Issue
Pages: 164-170