Open AccessStability of stochastic model for Hepatitis C transmission with an isolation stage
Author(s) -
Vuk Vujović,
Marija Krstić
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2014795v
Subject(s) - mathematics , uniqueness , stochastic modelling , lyapunov function , stability (learning theory) , isolation (microbiology) , epidemic model , construct (python library) , transmission (telecommunications) , statistical physics , mathematical analysis , statistics , computer science , population , telecommunications , physics , demography , nonlinear system , quantum mechanics , machine learning , sociology , microbiology and biotechnology , biology , programming language
In this paper we construct and investigate stability features of two stochastic hepatitis C models with an isolation stage which are obtained by an introduction of stochastic perturbations into the deterministic model for hepatitis C with an isolation stage. One of the stochastic models has only disease- free equilibrium and the other endemic equilibrium state. Aforementioned equilibriums belong to the equilibriums of corresponding deterministic system. For both of models, first of all, we prove the existence and uniqueness of global positive stochastic solution. Thereafter, by using suitable Lyapunov functions, we investigate stability properties of both models. We close the paper with numerical simulation with reliable data of hepatitis C transmission to illustrate our theoretical results.