[01041] Dynamical Behaviours of a Stochastic Leptospirosis Model with Saturated Incidence Rate
Session Time & Room : 1E (Aug.21, 17:40-19:20) @G402
Type : Contributed Talk
Abstract : Leptospirosis is a zoonotic bacterial disease that is endemic and having high incidence rate in tropical and subtropical regions especially after flooding or heavy rainfall. The objective is to investigate the asymptotic behaviour of a stochastic Leptospirosis model with saturated incidence rate in terms of basic reproduction number using Lyapunov functions. As a first step, a biologically well-posed model perturbed by multiplicative Gaussian noise will be proposed. The existence of a stationary distribution and the ergodicity of solutions of the proposed model will also be established.