结核sit模型的稳定性分析

Wahyudin Nur, M. Magfirah, Darmawati Darmawati, A. Ansar
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摘要

结核病(TB)是一种由结核分枝杆菌引起的传染病。本研究的目的是利用数学模型研究结核病的传播动态。我们建立了用微分方程组表示的sit模型。系统有两个平衡点,即无病平衡点和地方病平衡点。证明了平衡点的稳定性条件。我们进行了几个数值模拟来支持我们的理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability Analysis of Tuberculosis SITS Model
Tuberculosis (TB) is an infectious disease caused by mycobacterium tuberculosis. The purpose of this study is to investigate the dynamics of TB spread by using mathematical model. We develop SITS model which expressed as system of differential equations. The system has two equilibrium points, namely  disease-free equilibrium point and endemic equilibrium point. The stability condition of the equilibrium points is proved. We perform several numerical simulations to support our theoretical results.
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