Analysis of stochastic model of tuberculosis transmission

Jean Luc DIMI, Texance MBAYA

Abstract


In this paper, we consider a stochastic model of tuberculosis imbedded in environmental noise. We prove the existence of global solution , and we establish the stochastic stability of solutions.

Keywords


Nonlinear epidemic model ; Lyapounov function ; stochastic asymptotic stability ; Itoˆ ’s formula

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