Dynamic interactions of HSV-2 and HIV/AIDS: A mathematical modeling approach

Autor: Naresh Kumar Jothi, Vadivelu V, Senthil Kumar Dayalan, Jayant Giri, Wesam Atef Hatamleh, Hitesh Panchal
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIP Advances, Vol 14, Iss 3, Pp 035326-035326-16 (2024)
Druh dokumentu: article
ISSN: 2158-3226
DOI: 10.1063/5.0189284
Popis: To enhance my research, I would like to share my knowledge of Herpes simplex virus-2 (HSV-2) and HIV/AIDS (Acquired Immunodeficiency Syndrome) through a mathematical model. The study’s objective is to develop and examine the co-disease model for the modern era using mathematical modeling. Based on their modes of transmission, HSV-2 and HIV/AIDS are currently the leading causes of death from infectious and severe chronic diseases. Depending on the severity of HIV-2’s chronic disease, the model is divided into five phases: the first two HIV-2 stages and the remaining three HIV stages. Ordinary differential equations (ODEs) are arranged differently by each individual. Investigations into the mathematical equation model have revealed the points of equilibrium between the free and endemic models. A study of the developed model was conducted using the basic reproduction numbers [ R 0 ] of HSV-2 and HIV. The results demonstrate that if R 0 < 1 , the free equilibrium of disease is asymptotically locally stable. When R 0 > 1 , equilibrium endemic states are regarded as existing. Finally, MATLAB software was used to simulate the numerical equations of the model.
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