A Multi-compartment Mathematical Model for HIV-AIDS Transmission and Dynamics

被引：0

作者：

Bhat, Aaqid Mohi-Ud Din ^{[1
]}

Bhat, Younis Ahmad ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Srinagar 190006, India

来源：

IRANIAN JOURNAL OF SCIENCE | 2023年 / 47卷 / 02期

关键词：

HIV-AIDS; Compartmental modelling; Simultaneous differential equations; HIV/AIDS EPIDEMIC MODEL; STABILITY;

D O I：

10.1007/s40995-022-01397-0

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this study, the aim is to formulate a multi-compartment mathematical model regarding the transmission and dynamics of HIV-AIDS. The model is formulated on the basis of a system of linear, ordinary differential equations and admits two locally and globally stable equilibria. Primarily, the existence of the solution of the model and its uniqueness are demonstrated which is then obtained analytically using the fundamental matrix method and eigenvalue approach. The obtained solution serves as the pedestal for studying the dynamics and spread of HIV-AIDS in India. Nevertheless, as an endorsement to the obtained results the simulations are also carried out with model outcomes being contrasted to the exact data of the disease in India.

引用

页码：427 / 434

页数：8

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