دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,535
تعداد مقالات18,724
تعداد مشاهده مقاله61,687,385
تعداد دریافت فایل اصل مقاله22,408,458
Ali, Khalid, Raslsn, Kamal, Koura, Ahmed, Shaalan, Mohamed. (1405). Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model. سامانه مدیریت نشریات علمی, 14(1), 95-109. doi: 10.22034/cmde.2024.60011.2557
Khalid K. Ali; Kamal Raslsn; Ahmed F. Koura; Mohamed Abozeid Shaalan. "Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model". سامانه مدیریت نشریات علمی, 14, 1, 1405, 95-109. doi: 10.22034/cmde.2024.60011.2557
Ali, Khalid, Raslsn, Kamal, Koura, Ahmed, Shaalan, Mohamed. (1405). 'Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model', سامانه مدیریت نشریات علمی, 14(1), pp. 95-109. doi: 10.22034/cmde.2024.60011.2557
Ali, Khalid, Raslsn, Kamal, Koura, Ahmed, Shaalan, Mohamed. Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model. سامانه مدیریت نشریات علمی, 1405; 14(1): 95-109. doi: 10.22034/cmde.2024.60011.2557

Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model

Computational Methods for Differential Equations
مقاله 8، دوره 14، شماره 1، فروردین 2026، صفحه 95-109    اصل مقاله (1.17 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60011.2557
نویسندگان
Khalid K. Ali* 1؛ Kamal Raslsn2؛ Ahmed F. Koura3؛ Mohamed Abozeid Shaalan4
11. Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 311, Oman.\\ 2. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.
2Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.
3Basic Science Department, Al-Safwa High Institute of Engineering, Egypt.
4Higher Technological Institute, Tenth of Ramadan City, Egypt.
چکیده
In this article, we propose an optimal control of the hepatitis B virus (HBV) infection model. We use four control functions in this model to show the effect of quarantine, vaccination, treatment, and rapid testing in minimizing the infection between individuals. We apply Pontryagin’s maximum principle to study these four controls. We solve the mathematical model without control and after adding control functions using by finite difference scheme. We show the results graphically. In addition, we study the HBV spatio-temporal model numerically and discuss the truncation error and the stability of its numerical scheme.
کلیدواژه‌ها
Hepatitis B virus؛ Optimal control؛ Spatio-temporal model؛ Finite difference method؛ Truncation error؛ Stability
مراجع
  • [1] S. Ahmad, M. Rahman, and M. Arfan, On the analysis of semi-analytical solutions of hepatitis B epidemic model under the Caputo-Fabrizio operator, Chaos, Solitons and Fractals, 146 (2021), 110892.
  • [2] N. Akbari and R. Asheghi, Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread, Boundary Value Problems, (2022), 1–12.
  • [3] H. Alrabaiah, M. Safi, M. DarAssi, B. Al-Hdaibat, S. Ullah, M. Khan, and S. Shah, Optimal control analysis of hepatitis B virus with treatment and vaccination, Results in Physics, 19 (2020), 103599.
  • [4] M. Bachraoui, M. Ichou, K. Hattaf, and N. Yousfi, Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity, Mathematical Modelling of Natural Phenomena, 16(49) (2020).
  • [5] A. Din, Y. Li, and M. Shah, The complex dynamics of hepatitis B-infected individuals with optimal control, J. Syst. Sci. Complex, 34(4) (2020), 1301–1323.
  • [6] I. Fitria and A. Syafi’i, An epidemic cholera model with control treatment and intervention, Journal of Physics, 1218 (2019), 012046.
  • [7] H. Gaff, Optimal control applied to vaccination and treatment strategies for various epidemiological models, Mathematical Biosciences and Engineering, 6 (2009), 469–492.
  • [8] T. Khan, S. Ahmad, and G. Zaman, Modeling and qualitative analysis of a hepatitis B epidemic model, Chaos, Solitons and Fractals, 29 (2019), 103139.
  • [9] A. Koura, K. Raslan, K. Ali, and M. Shaalan, Numerical analysis of a spatio-temporal bi-modal coronavirus disease pandemic, Applied Mathematics and Information Sciences, 16(5) (2022), 729–737.
  • [10] K. Manna and K. Hattaf, Spatiotemporal Dynamics of a Generalized HBV Infection Model with Capsids and Adaptive Immunity, Int. J. Appl. Comput. Math, 65 (2019), 1–29.
  • [11] R. Neilan, E. Schaefer, H. Gaff, K. R. Fister, and S. Lenhart, Modeling Optimal Intervention Strategies for Cholera, Bulletin of Mathematical Biology, 72 (2010), 2004–2018.
  • [12] A. Raza, A. Ahmadian, M. Rafiq, S. Salahshour, M. Naveed, M. Ferrara, and A. Soori, Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease, Advances in Difference Equations, 663 (2020), 1–13.
  • [13] S. Sahaa and G. Samantaa, Modelling and optimal control of HIV/AIDS prevention through PrEP and limited treatment, Physica A, 516 (2019), 280–307.
  • [14] O. Sharomi and T. Malik, Optimal control in epidemiology, Ann. Oper. Res., 251 (2017), 55–71.
  • [15] G. Zaman, Y. Kang, and I. Jung, Optimal treatment of an SIR epidemic model with time delay, BioSystems, 98 (2009), 43–50.
  • [16] M. Zorom, P. Zongo, B. Barbier, and B. Some, Optimal Control of a spatio-temporal Model for Malaria: Synergy Treatment and Prevention, Journal of Applied Mathematics, 854723 (2012), 1–20.
  • [17] L. Zou, W. Zhang, and S. Ruan, Modeling the transmission dynamics and control of hepatitis B virus in China, Journal of Theoretical Biology, 262 (2010), 330–338.
آمار
تعداد مشاهده مقاله: 405
تعداد دریافت فایل اصل مقاله: 586


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب