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Numerical Analysis for the Effect of Irresponsible Immigrants on HIV/AIDS Dynamics

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dc.contributor.author Ali, Muhammad Tariq
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Rafiq, Muhammad
dc.contributor.author Awrejcewicz, Jan
dc.contributor.author Ahmed, Nauman
dc.contributor.author Raza, Ali
dc.contributor.author Iqbal, Muhammad Sajid
dc.contributor.author Ahmad, Muhammad Ozair
dc.date.accessioned 2024-01-16T13:42:44Z
dc.date.available 2024-01-16T13:42:44Z
dc.date.issued 2023
dc.identifier.citation Ali, Muhammad Tariq;...et.al. (2023). "Numerical Analysis for the Effect of Irresponsible Immigrants on HIV/AIDS Dynamics", Intelligent Automation and Soft Computing, Vol.36, no.2, pp.1479-1496. tr_TR
dc.identifier.issn 10798587
dc.identifier.uri http://hdl.handle.net/20.500.12416/6894
dc.description.abstract The human immunodeficiency viruses are two species of Lentivirus that infect humans. Over time, they cause acquired immunodeficiency syndrome, a condition in which progressive immune system failure allows life-threatening opportunistic infections and cancers to thrive. Human immunodeficiency virus infection came from a type of chimpanzee in Central Africa. Studies show that immunodeficiency viruses may have jumped from chimpanzees to humans as far back as the late 1800s. Over decades, human immunodeficiency viruses slowly spread across Africa and later into other parts of the world. The SusceptibleInfected-Recovered (SIR) models are significant in studying disease dynamics. In this paper, we have studied the effect of irresponsible immigrants on HIV/AIDS dynamics by formulating and considering different methods. Euler, Runge Kutta, and a Non-standard finite difference (NSFD) method are developed for the same problem. Numerical experiments are performed at disease-free and endemic equilibria points at different time step sizes ‘ℎ’. The results reveal that, unlike Euler and Runge Kutta, which fail for large time step sizes, the proposed Non-standard finite difference (NSFD) method gives a convergence solution for any time step size. Our proposed numerical method is bounded, dynamically consistent, and preserves the positivity of the continuous solution, which are essential requirements when modeling a prevalent disease. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.32604/iasc.2023.033157 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Existence Analysis tr_TR
dc.subject Numerical Methods tr_TR
dc.subject SIR Model tr_TR
dc.subject Stability Analysis tr_TR
dc.title Numerical Analysis for the Effect of Irresponsible Immigrants on HIV/AIDS Dynamics tr_TR
dc.type article tr_TR
dc.relation.journal Intelligent Automation and Soft Computing tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 36 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 1479 tr_TR
dc.identifier.endpage 1496 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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