A stochastic co-infection model for HIV-1 and HIV-2 epidemic incorporating drug resistance and dual saturated incidence rates
This study investigates a mathematical model encompassing both HIV-1 and HIV-2 epidemics, with a focus on drug resistance and dual saturated incidence rates. We begin by analyzing the local stability of equilibrium points in the deterministic system using Routh-Hurwitz and Jacobian matrix approaches...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682300964X |
| _version_ | 1797401778414682112 |
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| author | El Mehdi Farah Youssra Hajri Taghreed A. Assiri Saida Amine Shabir Ahmad Manuel De la Sen |
| author_facet | El Mehdi Farah Youssra Hajri Taghreed A. Assiri Saida Amine Shabir Ahmad Manuel De la Sen |
| author_sort | El Mehdi Farah |
| collection | DOAJ |
| description | This study investigates a mathematical model encompassing both HIV-1 and HIV-2 epidemics, with a focus on drug resistance and dual saturated incidence rates. We begin by analyzing the local stability of equilibrium points in the deterministic system using Routh-Hurwitz and Jacobian matrix approaches. Furthermore, we establish the existence of a global positive solution for our model. We identify specific parameter conditions that lead to disease extinction. Additionally, we explore the persistence of HIV-1 and HIV-2 infections by examining their mean values. To assess the practical implications of our theoretical analysis, we conduct graphical evaluations under various noise disturbances, employing Milstein's Higher Order Method. This research contributes to a deeper understanding of the dynamics of HIV-1 and HIV-2 co-infection, with potential implications for treatment strategies and disease management. |
| first_indexed | 2024-03-09T02:16:10Z |
| format | Article |
| id | doaj.art-c52faf969fb94c3eb9e092fbb4d62e83 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-09T02:16:10Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-c52faf969fb94c3eb9e092fbb4d62e832023-12-07T05:27:54ZengElsevierAlexandria Engineering Journal1110-01682023-12-01842436A stochastic co-infection model for HIV-1 and HIV-2 epidemic incorporating drug resistance and dual saturated incidence ratesEl Mehdi Farah0Youssra Hajri1Taghreed A. Assiri2Saida Amine3Shabir Ahmad4Manuel De la Sen5Laboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, Hassan II University of Casablanca, PO Box 146, 20650 Mohammedia, MoroccoLaboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, Hassan II University of Casablanca, PO Box 146, 20650 Mohammedia, MoroccoMathematics Department, Faculty of Sciences, Umm Al-Qura University, Makkah, Saudi ArabiaLaboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, Hassan II University of Casablanca, PO Box 146, 20650 Mohammedia, MoroccoDepartment of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan; Corresponding author.Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, Campus of Leioa (Bizkaia), University of the Basque Country, 48940 Leioa, SpainThis study investigates a mathematical model encompassing both HIV-1 and HIV-2 epidemics, with a focus on drug resistance and dual saturated incidence rates. We begin by analyzing the local stability of equilibrium points in the deterministic system using Routh-Hurwitz and Jacobian matrix approaches. Furthermore, we establish the existence of a global positive solution for our model. We identify specific parameter conditions that lead to disease extinction. Additionally, we explore the persistence of HIV-1 and HIV-2 infections by examining their mean values. To assess the practical implications of our theoretical analysis, we conduct graphical evaluations under various noise disturbances, employing Milstein's Higher Order Method. This research contributes to a deeper understanding of the dynamics of HIV-1 and HIV-2 co-infection, with potential implications for treatment strategies and disease management.http://www.sciencedirect.com/science/article/pii/S111001682300964XHIV-1HIV-2Local stabilityItô's formulaPermanence in meanMilstein's numerical method |
| spellingShingle | El Mehdi Farah Youssra Hajri Taghreed A. Assiri Saida Amine Shabir Ahmad Manuel De la Sen A stochastic co-infection model for HIV-1 and HIV-2 epidemic incorporating drug resistance and dual saturated incidence rates Alexandria Engineering Journal HIV-1 HIV-2 Local stability Itô's formula Permanence in mean Milstein's numerical method |
| title | A stochastic co-infection model for HIV-1 and HIV-2 epidemic incorporating drug resistance and dual saturated incidence rates |
| title_full | A stochastic co-infection model for HIV-1 and HIV-2 epidemic incorporating drug resistance and dual saturated incidence rates |
| title_fullStr | A stochastic co-infection model for HIV-1 and HIV-2 epidemic incorporating drug resistance and dual saturated incidence rates |
| title_full_unstemmed | A stochastic co-infection model for HIV-1 and HIV-2 epidemic incorporating drug resistance and dual saturated incidence rates |
| title_short | A stochastic co-infection model for HIV-1 and HIV-2 epidemic incorporating drug resistance and dual saturated incidence rates |
| title_sort | stochastic co infection model for hiv 1 and hiv 2 epidemic incorporating drug resistance and dual saturated incidence rates |
| topic | HIV-1 HIV-2 Local stability Itô's formula Permanence in mean Milstein's numerical method |
| url | http://www.sciencedirect.com/science/article/pii/S111001682300964X |
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