基本再生数
延迟(音频)
流行病模型
人口
应用数学
平滑度
理论(学习稳定性)
传输(电信)
大流行
指数稳定性
数学
稳定性理论
计算机科学
疾病
2019年冠状病毒病(COVID-19)
医学
数学分析
传染病(医学专业)
病理
非线性系统
物理
机器学习
环境卫生
电信
量子力学
作者
Riya Das,Dhiraj Kumar Das,T. K. Kar
标识
DOI:10.1016/j.matcom.2023.09.021
摘要
Since the beginning of time, tuberculosis (TB) has been a fatal illness that predominantly affects the human lungs before spreading to other organs including the brain, spine, etc. The main elements of TB mitigation are age-dependent heterogeneity, identifying those who are latently infected, and treating them using the right diagnostic strategy. In this present work, the complex transmission mechanism of this disease in a population is described by a coupled system of integro-partial differential equations (IDE-PDE). The system's well-posedness requirement is confirmed. The proposed system's basic reproduction number (R0) is obtained. This work provides a complete analysis of the qualitative properties of the model, including steady state existence, asymptotic smoothness of the solution semi-flow, uniform persistence of the endemic equilibrium, and the global asymptotic stability criterion. It is observed that in assessing the severity of the pandemic, the value of R0 is crucial. Additionally, the stability results are visually illustrated by solving the model equations numerically while assuming two hypothetical cases. The current work also suggests several methods for reducing the value of the basic reproductive number (R0) by manipulating a few parameter values, which may help to lessen the prevalence of TB in a community.
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