New Results on the Asymptotic Behaviour of a Stochastic SEI Model of Lymphatic Filariasis,
Auteur(s): Ragnimwendé Sawadogo, Fourtoua Victorien Konané
Auteur(s) tagués: Fourtoua Victorien KONANE ;
Résumé

Te goal of this article is to examine a new stochastic epidemic model for lymphatic flariasis, susceptible-exposed-infected (SEI).Like other diseases, the spread of lymphatic flariasis is subject to a degree of randomness due to fuctuations in the naturalenvironment. Tis provides us with the opportunity to formulate a mathematical model of lymphatic flariasis that compre-hensively considers external stochastic infuences. By using carefully designed stochastic Lyapunov functions, we establishsufcient conditions for the eradication of lymphatic flariasis infections. Moreover, under specifc conditions regarding theintensity of white noise, we also demonstrate the existence of a unique ergodic stationary distribution and the persistence of themean for the model. Numerical simulations are conducted to substantiate the validity of our fndings

Mots-clés

Lymphatic Filariasis Asymptotic behaviour SEI Model

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