Analysis of a stochastic mathematical model for tuberculosis with case detection

被引：0
作者：
D. Okuonghae
机构：
[1] University of Benin,Department of Mathematics
来源：
International Journal of Dynamics and Control | 2022年 / 10卷
关键词：
Tuberculosis; Ergodic stationary distribution; Stochastic Lyapunov function; Disease eradication; 92B05; 93E03; 93E15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we investigate some qualitative properties of a stochastic dynamical model for tuberculosis with case detection. Using appropriately formulated stochastic Lyapunov functions, we derive sufficient conditions for the existence (and uniqueness) of an ergodic stationary distribution of the positive solutions of the model, guaranteeing persistence of the disease in the presence of case detection. We also obtained conditions that will allow for the eradication of the disease from the population. Using numerical simulations, we were able to illustrate the analytical results obtained herein.
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页码：734 / 747
页数：13
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