journal article·2024-03-01Open access

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

Naresh Kumar Jothi, Vadivelu V, Senthil Kumar Dayalan, Jayant Giri, Wesam Atef Hatamleh, Hitesh Panchal

AIP Advances· Volume 14· Issue 3

Abstract

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 [R0] of HSV-2 and HIV. The results demonstrate that if R0<1, the free equilibrium of disease is asymptotically locally stable. When R0>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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Research context

OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Hepatitis C virus research · HIV Research and Treatment

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology 1 , Chennai, Tamilnadu, India

Department of Mechanical Engineering, Yeshwantrao Chavan College Engineering 2 , Nagpur, India

Department of Computer Science, College of Computer and Information Sciences, King Saud University 3 , P.O. Box 51178, Riyadh 11543, Saudi Arabia

Mechanical Engineering Department, Government Engineering College Patan 4 , Gujarat, India

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