Raza, AliBaleanu, DumitruRafiq, MuhammadBaleanu, DumitruShoaib Arif, MuhammadNaveed, MuhammadAshraf, KaleemMatematik2020-05-182020-05-182019Raza, A...et al. (2019). "Competitive Numerical Analysis for Stochastic Hıv/Aıds Epidemic Model in A Two-Sex Population",Iet Systems Biology, Vol. 13, No. 6, pp. 305-315.1751-88491751-8857https://doi.org/10.1049/iet-syb.2019.0051Naveed, Muhamamd/0000-0002-4333-8226; Arif, Muhammad Shoaib/0000-0002-6009-5609; Rafiq, Muhammad/0000-0002-2165-3479; Raza, Ali/0000-0002-6443-9966This study is an attempt to explain a reliable numerical analysis of a stochastic HIV/AIDS model in a two-sex population considering counselling and antiretroviral therapy (ART). The authors are comparing the solutions of the stochastic and deterministic HIV/AIDS epidemic model. Here, an endeavour has been made to explain the stochastic HIV/AIDS epidemic model is comparatively more pragmatic in contrast with the deterministic HIV/AIDS epidemic model. The effect of threshold number H* holds on the stochastic HIV/AIDS epidemic model. If H* < 1 then condition helps us to control disease in a two-sex human population while H* > 1 explains the persistence of disease in the two-sex human population. Lamentably, numerical methods such as Euler-Maruyama, stochastic Euler, and stochastic Runge-Kutta do not work for large time step sizes. The recommended structure preserving framework of the stochastic non-standard finite difference (SNSFD) scheme conserve all vital characteristics such as positivity, boundedness, and dynamical consistency defined by Mickens. The effectiveness of counselling and ART may control HIV/AIDS in a two-sex population.eninfo:eu-repo/semantics/openAccessDiseasesStochastic ProcessesEpidemicsPatient TreatmentFinite Difference MethodsTwo-Sex Human PopulationAntiretroviral TherapyCompetitive Numerical AnalysisStochastic Hiv-Aids Epidemic ModelStructure Preserving FrameworkStochastic Nonstandard Finite Difference SchemeSnsfd SchemeDeterministic Hiv-Aids Epidemic ModelArticle13630531510.1049/iet-syb.2019.00512-s2.0-85075743196WOS:00049946590000431778127Q2Q3