A mathematical and sensitivity analysis of an HIV/AIDS infection model

[1] Wang D., Hu B., Hu C., Zhu F., Liu X., Zhang J., Wang B., Xiang H., Cheng Z., Xiong Y., Zhao Y., Li Y., Wang X., Peng A. Z., Clinical characteristics of 138 hospitalized patients with 2019 novel coronavirus-infected pneumonia in Wuhan/China, JAMA Network, 323(11), 1061–1069, 2020. WangD. HuB. HuC. ZhuF. LiuX. ZhangJ. WangB. XiangH. ChengZ. XiongY. ZhaoY. LiY. WangX. PengA. Z. Clinical characteristics of 138 hospitalized patients with 2019 novel coronavirus-infected pneumonia in Wuhan/China JAMA Network 323 11 1061 1069 2020 Search in Google Scholar

[2] Reshadat-Hajiabad T., Khajavi A., Hosseinpour A.M., Bojdy A., Hashemi-Meshkini A., Varmaghani M., Determinants and economic burden of HIV/AIDS in Iran: a prospective study, BMC Health Services Research, 23(1), 251, 2023. Reshadat-HajiabadT. KhajaviA. HosseinpourA.M. BojdyA. Hashemi-MeshkiniA. VarmaghaniM. Determinants and economic burden of HIV/AIDS in Iran: a prospective study BMC Health Services Research 23 1 251 2023 Search in Google Scholar

[3] WHO, Chan M., Consolidated guidelines on “The use of Antiretroviral Drugs for Treating and Preventing HIV Infection” Recommendations for a Public Health Approach, (2nd Ed.), Switzerland, 1–480, 2016. WHO ChanM. Consolidated guidelines on “The use of Antiretroviral Drugs for Treating and Preventing HIV Infection” Recommendations for a Public Health Approach 2nd Ed. Switzerland 1 480 2016 Search in Google Scholar

[4] Easterbrook P., Johnson C., Figueroa C., Baggaley R., HIV and Hepatitis testing: global progress challenges and future directions, AIDS Reviews, 18(1), 3–14, 2016. EasterbrookP. JohnsonC. FigueroaC. BaggaleyR. HIV and Hepatitis testing: global progress challenges and future directions AIDS Reviews 18 1 3 14 2016 Search in Google Scholar

[5] WHO, Chan M., Global health sector strategy on HIV 2016–2021, Switzerland, 1–60, 2016. WHO ChanM. Global health sector strategy on HIV 2016–2021 Switzerland 1 60 2016 Search in Google Scholar

[6] Dimitrov D., Wood D., Ulrich A., Swan D.A., Adamson B., Lama J.R., Sanchez J., Duerr A., Projected effectiveness of HIV detection during early infection and rapid ART initiation among MSM and transgender women in Peru: a modeling study, Infectious Disease Modelling, 4, 73–82, 2019. DimitrovD. WoodD. UlrichA. SwanD.A. AdamsonB. LamaJ.R. SanchezJ. DuerrA. Projected effectiveness of HIV detection during early infection and rapid ART initiation among MSM and transgender women in Peru: a modeling study Infectious Disease Modelling 4 73 82 2019 Search in Google Scholar

[7] Espitia C.C., Botina M.A., Solarte M.A., Hernandez I., Riascos R.A., Meyer J.F., Mathematical model of HIV/AIDS considering sexual preferences under antiretroviral therapy, a case study in San Juan de Pasto, Colombia, Journal of Computational Biology, 29(5), 483–493, 2022. EspitiaC.C. BotinaM.A. SolarteM.A. HernandezI. RiascosR.A. MeyerJ.F. Mathematical model of HIV/AIDS considering sexual preferences under antiretroviral therapy, a case study in San Juan de Pasto, Colombia Journal of Computational Biology 29 5 483 493 2022 Search in Google Scholar

[8] Kretzschmar M., Disease modeling for public health: added value, challenges, and institutional constraints, Journal of Public Health Policy, 41(1), 39–51, 2020. KretzschmarM. Disease modeling for public health: added value, challenges, and institutional constraints Journal of Public Health Policy 41 1 39 51 2020 Search in Google Scholar

[9] Ngina P., Mbogo R.W., Luboobi L.S., HIV drug resistance: insights from mathematical modelling, Applied Mathematical Modelling, 75, 141–161, 2019. NginaP. MbogoR.W. LuboobiL.S. HIV drug resistance: insights from mathematical modelling Applied Mathematical Modelling 75 141 161 2019 Search in Google Scholar

[10] Gao W., Veeresha P., Cattani C., Baishya C., Baskonus H.M., Modified predictor-corrector method for the numerical solution of a fractional-order SIR model with 2019-nCoV, Fractal and Fractional, 6(2), 92, 2022. GaoW. VeereshaP. CattaniC. BaishyaC. BaskonusH.M. Modified predictor-corrector method for the numerical solution of a fractional-order SIR model with 2019-nCoV Fractal and Fractional 6 2 92 2022 Search in Google Scholar

[11] Cai L., Li X., Ghosh M., Guo B., Stability analysis of an HIV/AIDS epidemic model with treatment, Journal of Computational and Applied Mathematics, 229(1), 313–323, 2009. CaiL. LiX. GhoshM. GuoB. Stability analysis of an HIV/AIDS epidemic model with treatment Journal of Computational and Applied Mathematics 229 1 313 323 2009 Search in Google Scholar

[12] Hassan A.S., Hussaini N., Analysis of an HIV-HCV simultaneous infection model with time delay, Journal of the Nigerian Society of Physical Sciences, 3, 1–11, 2021. HassanA.S. HussainiN. Analysis of an HIV-HCV simultaneous infection model with time delay Journal of the Nigerian Society of Physical Sciences 3 1 11 2021 Search in Google Scholar

[13] Apenteng O.O., Osei P.P., Oduro B., Kwabla M.P., Ismail N.A., The impact of implementing HIV prevention policies therapy and control strategy among HIV and AIDS incidence cases in Malaysia, Infectious Disease Modelling, 5, 755–765, 2020. ApentengO.O. OseiP.P. OduroB. KwablaM.P. IsmailN.A. The impact of implementing HIV prevention policies therapy and control strategy among HIV and AIDS incidence cases in Malaysia Infectious Disease Modelling 5 755 765 2020 Search in Google Scholar

[14] Yang W., Shu Z., Lam J., Sun C., Global dynamics of an HIV model incorporating senior male clients, Applied Mathematics and Computation, 311, 203–216, 2017. YangW. ShuZ. LamJ. SunC. Global dynamics of an HIV model incorporating senior male clients Applied Mathematics and Computation 311 203 216 2017 Search in Google Scholar

[15] Prudden H., Tatoud R., Slack C., Shattock R., Anklesaria P., Bekker L.G., Buchbinder S., Experimental medicine for HIV vaccine research and development, Vaccines, 11(5), 970, 2023. PruddenH. TatoudR. SlackC. ShattockR. AnklesariaP. BekkerL.G. BuchbinderS. Experimental medicine for HIV vaccine research and development Vaccines 11 5 970 2023 Search in Google Scholar

[16] Bassey A.E., Miteu G.D., A review of current trends in HIV epidemiology, surveillance, and control in Nigeria, Annals of Medicine and Surgery, 85(5), 1790–1795, 2023. BasseyA.E. MiteuG.D. A review of current trends in HIV epidemiology, surveillance, and control in Nigeria Annals of Medicine and Surgery 85 5 1790 1795 2023 Search in Google Scholar

[17] Bekolo C.E., Kouanfack C., Ateudjieu J., Bechem E.T., Ndeso S.A., Tendengfor N., Nsagha D.S., Choukem S.P., The declining trend in HIV prevalence from population-based surveys in Cameroon between 2004 and 2018: myth or reality in the universal test and treat era?, BMC Public Health, 23(1), 479, 2023. BekoloC.E. KouanfackC. AteudjieuJ. BechemE.T. NdesoS.A. TendengforN. NsaghaD.S. ChoukemS.P. The declining trend in HIV prevalence from population-based surveys in Cameroon between 2004 and 2018: myth or reality in the universal test and treat era? BMC Public Health 23 1 479 2023 Search in Google Scholar

[18] Shete A., Wagh V., Sawant J., Shidhaye P., Sane S., Rao A., Kulkarni S., Ghate M., Antiretroviral treatment-induced galectin-9 might impact HIV viremia in addition to contributing to inflammaging, International Journal of Molecular Sciences, 24(15), 12273, 2023. SheteA. WaghV. SawantJ. ShidhayeP. SaneS. RaoA. KulkarniS. GhateM. Antiretroviral treatment-induced galectin-9 might impact HIV viremia in addition to contributing to inflammaging International Journal of Molecular Sciences 24 15 12273 2023 Search in Google Scholar

[19] Deepika S., Veeresha P., Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator, Chaos Solitons and Fractals, 169, 113298, 2023. DeepikaS. VeereshaP. Dynamics of chaotic waterwheel model with the asymmetric flow within the frame of Caputo fractional operator Chaos Solitons and Fractals 169 113298 2023 Search in Google Scholar

[20] Veeresha P., A numerical approach to the coupled atmospheric ocean model using a fractional operator, Mathematical Modelling and Numerical Simulation with Applications, 1(1), 1–10, 2021. VeereshaP. A numerical approach to the coupled atmospheric ocean model using a fractional operator Mathematical Modelling and Numerical Simulation with Applications 1 1 1 10 2021 Search in Google Scholar

[21] Naik M.K., Baishya C., Veeresha P., Baleanu D., Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control, Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(2), 023129, 2023. NaikM.K. BaishyaC. VeereshaP. BaleanuD. Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control Chaos: An Interdisciplinary Journal of Nonlinear Science 33 2 023129 2023 Search in Google Scholar

[22] Raghavendra V., Veeresha P., Analysing the market for digital payments in India using the predator-prey mode, An International Journal of Optimization and Control: Theories and Applications, 13(1), 104–115, 2023. RaghavendraV. VeereshaP. Analysing the market for digital payments in India using the predator-prey mode An International Journal of Optimization and Control: Theories and Applications 13 1 104 115 2023 Search in Google Scholar

[23] Veeresha P., The efficient fractional order based approach to analyze chemical reaction associated with pattern formation, Chaos Solitons and Fractals, 165(2), 112862, 2022. VeereshaP. The efficient fractional order based approach to analyze chemical reaction associated with pattern formation Chaos Solitons and Fractals 165 2 112862 2022 Search in Google Scholar

[24] Ilhan E., Veeresha P., Baskonus H.M., Fractional approach for a mathematical model of atmospheric dynamics of CO₂ gas with an efficient method, Chaos Solitons and Fractals, 152, 111347, 2021. IlhanE. VeereshaP. BaskonusH.M. Fractional approach for a mathematical model of atmospheric dynamics of CO₂ gas with an efficient method Chaos Solitons and Fractals 152 111347 2021 Search in Google Scholar

[25] Naik P.A., Owolabi K.M., Yavuz M., Zu J., Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells, Chaos Solitons and Fractals, 140, 110272, 2020. NaikP.A. OwolabiK.M. YavuzM. ZuJ. Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells Chaos Solitons and Fractals 140 110272 2020 Search in Google Scholar

[26] Ahmed I., Akgül A., Jarad F., Kumam P., Nonlaopon K., A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis, Mathematical Modelling and Numerical Simulation with Applications, 3(2), 170–187, 2023. AhmedI. AkgülA. JaradF. KumamP. NonlaoponK. A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis Mathematical Modelling and Numerical Simulation with Applications 3 2 170 187 2023 Search in Google Scholar

[27] Fatima B., Yavuz M., Rahman M.U., Al-Duais F.S., Modeling the epidemic trend of middle eastern respiratory syndrome coronavirus with optimal control, Mathematical Biosciences and Engineering, 20(7), 11847–11874, 2023. FatimaB. YavuzM. RahmanM.U. Al-DuaisF.S. Modeling the epidemic trend of middle eastern respiratory syndrome coronavirus with optimal control Mathematical Biosciences and Engineering 20 7 11847 11874 2023 Search in Google Scholar

[28] Evirgen F., Uçar E., Uçar S., Özdemir N., Modelling influenza a disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates, Mathematical Modelling and Numerical Simulation with Applications, 3(1), 58–73, 2023. EvirgenF. UçarE. UçarS. ÖzdemirN. Modelling influenza a disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates Mathematical Modelling and Numerical Simulation with Applications 3 1 58 73 2023 Search in Google Scholar

[29] Atede A.O., Omame A., Inyama S.C., A fractional order vaccination model for COVID-19 incorporating environmental transmission: a case study using Nigerian data, Bulletin of Biomathematics, 1(1), 78–110, 2023. AtedeA.O. OmameA. InyamaS.C. A fractional order vaccination model for COVID-19 incorporating environmental transmission: a case study using Nigerian data Bulletin of Biomathematics 1 1 78 110 2023 Search in Google Scholar

[30] Joshi H., Yavuz M., Townley S., Jha B.K., Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate, Physica Scripta, 98(045216), 2023. JoshiH. YavuzM. TownleyS. JhaB.K. Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate Physica Scripta 98 045216 2023 Search in Google Scholar

[31] Dubey P., Dubey U.S., Dubey B., Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection, Mathematics and Computers in Simulation, 144, 120–137, 2018. DubeyP. DubeyU.S. DubeyB. Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection Mathematics and Computers in Simulation 144 120 137 2018 Search in Google Scholar

[32] Driessche P.V.D., Watmough J., Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, 180(1–2), 29–48, 2002. DriesscheP.V.D. WatmoughJ. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Mathematical Biosciences 180 1–2 29 48 2002 Search in Google Scholar

[33] Castillo-Chavez C., Blower S., Driessche P.V.D., Kirschner D., Yakubu A.A., Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory, Springer, New York, USA, 2002. Castillo-ChavezC. BlowerS. DriesscheP.V.D. KirschnerD. YakubuA.A. Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory Springer New York, USA 2002 Search in Google Scholar

[34] Hussaini N., Mathematical Modelling and Analysis of HIV Transmission Dynamics, (PhD Thesis), Brunel University, West London, UK, 2010. HussainiN. Mathematical Modelling and Analysis of HIV Transmission Dynamics (PhD Thesis), Brunel University West London, UK 2010 Search in Google Scholar

[35] Lutera J., Mbete D., Wangila S., Co-infection model of HIV/AIDS-Pneumonia on the effect of treatment at initial and final stages, IOSR Journal of Mathematics, 14(5), 56–81, 2018. LuteraJ. MbeteD. WangilaS. Co-infection model of HIV/AIDS-Pneumonia on the effect of treatment at initial and final stages IOSR Journal of Mathematics 14 5 56 81 2018 Search in Google Scholar

[36] Ringa N., Diagne M.L., Rwezaura H., Omame A., Tchoumi S.Y., Tchuenche J.M., HIV and COVID-19 co-infection: a mathematical model and optimal control, Informatics in Medicine Unlocked, 31, 100978, 2022. RingaN. DiagneM.L. RwezauraH. OmameA. TchoumiS.Y. TchuencheJ.M. HIV and COVID-19 co-infection: a mathematical model and optimal control Informatics in Medicine Unlocked 31 100978 2022 Search in Google Scholar