Optimal control strategies on HIV/AIDS and pneumonia co-infection with mathematical modelling approach

References

• GT Tilahun, OD Makinde, D. Malonza Modelling and optimal control of pneumonia disease with cost-effective strategies. J Biol Dyn. 2017;11(Suppl. 2):400–426. doi:10.1080/17513758.2017.1337245
   PubMedGoogle Scholar
• M. Martcheva An introduction to mathematical epidemiology. Vol. 61. New York: Springer; 2015.
   Google Scholar
• A Nwankwo, D. Okuonghae Mathematical analysis of the transmission dynamics of HIV syphilis co-infection in the presence of treatment for syphilis. Bull Math Biol. 2018;80(3):437–492. doi:10.1007/s11538-017-0384-0
   PubMed Web of Science ®Google Scholar
• R. Aggarwal “Stability analysis of a delayed HIV-TB co-infection model in resource limitation settings. Chaos Solit Fractals. 2020;140:110138. doi:10.1016/j.chaos.2020.110138
   Web of Science ®Google Scholar
• M Aslam, R Murtaza, T Abdeljawad, et al. A fractional order HIV/AIDS epidemic model with Mittag–Leffler kernel. Adv Differ Equ. 2021;2021(1):1–15. doi:10.1186/s13662-021-03264-5
   Web of Science ®Google Scholar
• JK Nthiiri, GO Lavi, A. Mayonge Mathematical model of pneumonia and HIV/AIDS coinfection in the presence of protection. Int J Math Anal. 2015;9(42):2069–2085. doi:10.12988/ijma.2015.55150
   Google Scholar
• EA Bakare, CR. Nwozo Bifurcation and sensitivity analysis of malaria–schistosomiasis co-infection model. Int J Appl Comput Math. 2017;3(1).
   Google Scholar
• MJOJ Otieno, O. Paul Mathematical model for pneumonia dynamics with carriers. 2013.
   Google Scholar
• S Saber, AM Alghamdi, GA Ahmed, et al. Mathematical modelling and optimal control of pneumonia disease in sheep and goats in Al-Baha region with cost-effective strategies. AIMS Math. 2022;7(7):12011–12049. doi:10.3934/math.2022669
   Web of Science ®Google Scholar
• M Kizito, J. Tumwiine A mathematical model of treatment and vaccination interventions of pneumococcal pneumonia infection dynamics. J Appl Math. 2018; 2018. doi:10.1155/2018/2539465
   Google Scholar
• M Naveed, D Baleanu, A Raza, et al. Modeling the transmission dynamics of delayed pneumonia-like diseases with a sensitivity of parameters. Adv Differ Equ. 2021;2021(1):1–19. doi:10.1186/s13662-021-03618-z
   Web of Science ®Google Scholar
• SJ. Aston Pneumonia in the developing world: Characteristic features and approach to management. Respirology. 2017;22(7):1276–1287. doi:10.1111/resp.13112
   PubMed Web of Science ®Google Scholar
• CW Kanyiri, L Luboobi, M. Kimathi Application of optimal control to influenza pneumonia coinfection with antiviral resistance. Comput Math Methods Med. 2020;2020. doi:10.1155/2020/5984095
   PubMed Web of Science ®Google Scholar
• FK Mbabazi, JYT Mugisha, M. Kimathi Global stability of pneumococcal pneumonia with awareness and saturated treatment. J Appl Math. 2020;2020. doi:10.1155/2020/3243957
   Google Scholar
• MI Ossaiugbo, NI. Okposo Mathematical modeling and analysis of pneumonia infection dynamics. Sci World J. 2021;16(2):73–80.
   Google Scholar
• H-F Huo, R. Chen Stability of an HIV/AIDS treatment model with different stages. Discrete Dyn Nat Soc. 2015;2015.
   Web of Science ®Google Scholar
• EO Omondi, RW Mbogo, LS. Luboobi Mathematical analysis of sex-structured population model of HIV infection in Kenya. Lett Biomath. 2018;5(1):174–194. doi:10.30707/LiB5.1Omondi
   Google Scholar
• A Babaei, H Jafari, A. Liya Mathematical models of HIV/AIDS and drug addiction in prisons. Eur Phys J Plus. 2020;135(5):1–12. doi:10.1140/epjp/s13360-020-00400-0
   Web of Science ®Google Scholar
• C Castillo-Chavez, B. Song Dynamical models of tuberculosis and their applications. Math Biosci Eng. 2004;1(2):361. doi:10.3934/mbe.2004.1.361
   PubMed Web of Science ®Google Scholar
• SW Teklu, TT. Mekonnen HIV/AIDS-pneumonia co-infection model with treatment at each infection stage: mathematical analysis and numerical simulation. J Appl Math. 2021;2021. doi:10.1155/2021/5444605
   Google Scholar
• SW Teklu, KP. Rao HIV/AIDS-pneumonia codynamics model analysis with vaccination and treatment. Comput Math Methods Med. 2022;2022.
   Web of Science ®Google Scholar
• I Ahmed, EFD Goufo, A Yusuf, et al. An epidemic prediction from analysis of a combined HIV-COVID-19 co-infection model via ABC-fractional operator. Alexandria Eng J. 2021;60(3):2979–2995. doi:10.1016/j.aej.2021.01.041
   Web of Science ®Google Scholar
• AB Gumel, JM- Lubuma, O Sharomi, et al. Mathematics of a sex-structured model for syphilis transmission dynamics. Math Methods Appl Sci. 2018;41(18):8488–8513. doi:10.1002/mma.4734
   Web of Science ®Google Scholar
• P Van den Driessche, J. Watmough Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci. 2002;180(1–2):29–48. doi:10.1016/S0025-5564(02)00108-6
   PubMed Web of Science ®Google Scholar
• C Castillo-Chavez, Z Feng, W. Huang On the computation of R0 and its role on global stability, 2002. Math. la. asu. edu/chavez/2002/JB276. pdf. 2002.
   Google Scholar
• N Ringa, ML Diagne, H Rwezaura, et al. HIV and COVID-19 co-infection: A mathematical model and optimal control. Inform Med Unlocked 2022;31:100978.
   PubMedGoogle Scholar
• SW. Teklu Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies. J Biol Dyn. 2022;16(1):640–664. doi:10.1080/17513758.2022.2111469
   PubMed Web of Science ®Google Scholar
• SW Teklu, BB. Terefe Mathematical modeling investigation of violence and racism coexistence as a contagious disease dynamics in a community. Comput Math Methods Med. 2022;2022.
   Web of Science ®Google Scholar
• SW Teklu, BB. Terefe Mathematical modeling analysis on the dynamics of university students animosity towards mathematics with optimal control theory. Sci Rep. 2022;12(1):1–19. doi:10.1038/s41598-021-99269-x
   PubMed Web of Science ®Google Scholar
• R Aggarwal, YA. Raj A fractional order HIV-TB co-infection model in the presence of exogenous reinfection and recurrent TB. Nonlinear Dyn. 2021;104(4):4701–4725. doi:10.1007/s11071-021-06518-9
   PubMed Web of Science ®Google Scholar
• MU Nsuami, PJ. Witbooi A model of HIV/AIDS population dynamics including ARV treatment and pre-exposure prophylaxis. Adv Differ Equ. 2018;2018(1):1–12. doi:10.1186/s13662-017-1458-x
   Google Scholar
• S Saha, GP. Samanta Modelling and optimal control of HIV/AIDS prevention through PrEP and limited treatment. Physica A. 2019;516:280–307. doi:10.1016/j.physa.2018.10.033
   Web of Science ®Google Scholar
• GP. Samanta Analysis of a nonautonomous HIV/AIDS epidemic model with distributed time delay. Math Model Anal. 2010;15(3):327–347. doi:10.3846/1392-6292.2010.15.327-347
   Web of Science ®Google Scholar
• GP. Samanta Analysis of a nonautonomous HIV/AIDS model. Math Model Nat Phenom. 2010;5(6):70–95. doi:10.1051/mmnp/20105604
   Web of Science ®Google Scholar
• GP. Samanta Permanence and extinction of a nonautonomous HIV/AIDS epidemic model with distributed time delay. Nonlinear Anal. Real World Appl. 2011;12(2):1163–1177. doi:10.1016/j.nonrwa.2010.09.010
   Web of Science ®Google Scholar
• S Sharma, GP. Samanta Dynamical behaviour of an HIV/AIDS epidemic model. Diff Equ Dyn Syst. 2014;22(4):369–395. doi:10.1007/s12591-013-0173-7
   Google Scholar
• S Saha, P Dutta, G. Samanta “Dynamical behavior of SIRS model incorporating government action and public response in presence of deterministic and fluctuating environments. Chaos Solit Fractals. 2022;164:112643. doi:10.1016/j.chaos.2022.112643
   Web of Science ®Google Scholar
• SW Teklu, BS. Kotola A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies. J Biol Dyn. 2023;17(1):2175920. doi:10.1080/17513758.2023.2175920
   PubMed Web of Science ®Google Scholar
• BS Kotola, SW Teklu, YF. Abebaw Bifurcation and optimal control analysis of HIV/AIDS and COVID-19 co-infection model with numerical simulation. PLoS One. 2023;18(5):e0284759. doi:10.1371/journal.pone.0284759
   PubMed Web of Science ®Google Scholar
• SW Teklu, BB. Terefe COVID-19 and syphilis co-dynamic analysis using mathematical modeling approach. Front Appl Math Stat. 2023;8:1101029. doi:10.3389/fams.2022.1101029
   Google Scholar