Yıl: 2021 Cilt: 4 Sayı: 2 Sayfa Aralığı: 72 - 88 Metin Dili: İngilizce DOI: 10.33187/jmsm.943746 İndeks Tarihi: 29-07-2022

Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population

Öz:
This paper investigates the impact of the various parameters of the mathematical model for Hepatitis B virus-Hepatitis D virus (HBV-HDV) co-infection with controls (awareness, vaccine and therapy). It establishes that the model is biologically meaningful and epidemiologically well posed. Furthermore, simulations are carried out on the equations of the model using MATLAB and the results indicate that; when $c_1$(awareness) increase from $0.08$ to $0.70$, then the number of exposed HB individuals in the population will also increase. Conversely, we notice a drastic decrease in the number of exposed HBD individuals in the population when $c_1$(awareness) increase from $0.08$ to $0.70$. Again, we observe a decrease in the number of exposed treated individuals in the population when $c$(therapy) increase from $0.08$ to $0.50$. Similarly, we notice an increase in the number of recovered HBD individuals in the population upon the increase of $c$(therapy) from $0.08$ to $0.50$. We therefore conclude that awareness, vaccine and therapy are good measure which can be used to effectively control HBV-HDV co-infection in a population. However, awareness and vaccine are better control strategies than therapy. Hence, these simulation results provide the best framework for the control of the disease; Hepatitis B virus-Hepatitis D virus (HBV-HDV) co-infection in a population.
Anahtar Kelime: Hepatitis B virus Controls Co-infection Hepatitis D virus Matlab Simulation

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] H. Fejza, S. Telaku, Prevalence of HBV and HCV among blood donors in Kosovo, Virol. J., 13, (2009), 6-21.
  • [2] S. A. Kafi-abad, H. Rezvan, H. Abolghasemi, Trends in prevalence of hepatitis B virus infection among Iranian blood donors, 1998-2007. Transfus Med., 19(4), (2009), 189-94
  • [3] M. Rizzetto, G. Verme, S. Recchia, Immunflorescence detection of a new antigen-antibody system (delta-antidelta) associated to hepatitis virus in the liver and serum of HBsAg carriers, Gut., 18, (1977), 996.
  • [4] A. Smedile, A. Ciancio, M. Rizzetto, Hepatitis D virus. In: Richman, D.D, Whitley, R.J, Hayden, F.G, eds. Clinical virology. Washington, DC: ASM Press, (2002), 1227–1240.
  • [5] S. I. Friedman, Seminars in medicine of the Beth Israel Hospital, Boston. The cellular basis of hepatic fibrosis. Mechanisms and treatment strategies, England Journal of Medicine; 328, (1993), 1828–1835.
  • [6] P. Farci, Delta hepatitis: an update, J. Hepatol., 39, Suppl., 1, (2003), 212-9.
  • [7] S. A. Hughes, H. Wedemeyer, P. M. Harrison, Hepatitis delta virus, Lancet, 378, (2011), 73–85.
  • [8] M. Rizzetto, G. Verme, Delta hepatitis-present status, J. Hepatol., 1, (1985), 187-93.
  • [9] J. M. Taylor, Hepatitis delta virus, Virology, 5; 344(1), (2006), 71-6.
  • [10] S. M. Alavian, S. H. Alavian, Hepatitis D virus infection; Iran, Middle East and Central Asia, Hepatitis Monthly, 5, (2005), 137-143.
  • [11] R. Esmaeili, S. M. Alavian, B. Hajibeigi, E. Sabouri, R. Edalat, A. Adeli, Phylogenetic analysis of twenty-six cases of hepatitis delta virus isolates in Tehran, Iran, Hepat Mon, 9(3), (2009), 196-200.
  • [12] Z. Abbas, W. Jafri, S. Raza, Hepatitis D: Scenario in the Asia-Pacific region, World J. Gastroenterol, 7, 16(5), (2010), 554-62.
  • [13] S. M. Alavian, Unthought of Problems Regarding Hepatitis D Virus Infection, Hepat Mon., 10(2), (2010), 77- 79.
  • [14] R. O. Aja, D. Omale, G. C. E. Mbah, Sensitivity Analysis of the Mathematical Model on the Control of HBV-HDV co-infection Transmission Dynamics in a Given Population, Journal of the Nigerian Association of Mathematical Physics, 39, (2017), 457 - 470.
  • [15] R. O. Aja, T. I. Chinebu, E. O. Eze, On the Stability of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) co-infection with Controls in a Dynamic Population, International Journal of Advances in Mathematics, 2019(2), (2019), 17-30.
  • [16] H. W. Hethcote, The Mathematics of Infectious Diseases, SIAM REVIEW, 42(4), (2000), 599-653.
  • [17] S. Abdulrahman, N. I. Akinwande, O. B. Awojoyogbe, U. Y. Abubakar, Sensitivity Analysis of the parameters of a Mathematical Model of Hepatitis B virus transmission, Universal Journal of Applied Mathematics, 1(4), (2013), 230-241.
  • [18] I. K. Adu, A. Y. Aidoo, I. O. Darko, E. O. Frimpong, Mathematical Model of Hepatitis B in the Bosomtwe District of Ashanti Region, Ghana Applied Mathematical Sciences, 8(64), (2014), 3343 - 3358.
  • [19] L. Zou, W. Zhang, Modelling the transmission dynamics and control of hepatitis B virus in China, Journal of Theoretical Biology, 10, (2009), 1-9.
  • [20] A. R. Kimbir, T. Aboiyar, O. Abu, E. S. Onah, Simulation of a Mathematical Model of Hepatitis B virus Transmission Dynamics in the presence of vaccination and treatment, Mathematical Theory and Modelling, 4(12), (2014).
APA AJA R, Chinebu I, Godwin Christopher Ezike M (2021). Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. , 72 - 88. 10.33187/jmsm.943746
Chicago AJA Remigius Okeke,Chinebu Ifeanyi,Godwin Christopher Ezike Mbah Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. (2021): 72 - 88. 10.33187/jmsm.943746
MLA AJA Remigius Okeke,Chinebu Ifeanyi,Godwin Christopher Ezike Mbah Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. , 2021, ss.72 - 88. 10.33187/jmsm.943746
AMA AJA R,Chinebu I,Godwin Christopher Ezike M Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. . 2021; 72 - 88. 10.33187/jmsm.943746
Vancouver AJA R,Chinebu I,Godwin Christopher Ezike M Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. . 2021; 72 - 88. 10.33187/jmsm.943746
IEEE AJA R,Chinebu I,Godwin Christopher Ezike M "Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population." , ss.72 - 88, 2021. 10.33187/jmsm.943746
ISNAD AJA, Remigius Okeke vd. "Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population". (2021), 72-88. https://doi.org/10.33187/jmsm.943746
APA AJA R, Chinebu I, Godwin Christopher Ezike M (2021). Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. Journal of mathematical sciences and modelling (Online), 4(2), 72 - 88. 10.33187/jmsm.943746
Chicago AJA Remigius Okeke,Chinebu Ifeanyi,Godwin Christopher Ezike Mbah Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. Journal of mathematical sciences and modelling (Online) 4, no.2 (2021): 72 - 88. 10.33187/jmsm.943746
MLA AJA Remigius Okeke,Chinebu Ifeanyi,Godwin Christopher Ezike Mbah Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. Journal of mathematical sciences and modelling (Online), vol.4, no.2, 2021, ss.72 - 88. 10.33187/jmsm.943746
AMA AJA R,Chinebu I,Godwin Christopher Ezike M Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. Journal of mathematical sciences and modelling (Online). 2021; 4(2): 72 - 88. 10.33187/jmsm.943746
Vancouver AJA R,Chinebu I,Godwin Christopher Ezike M Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population. Journal of mathematical sciences and modelling (Online). 2021; 4(2): 72 - 88. 10.33187/jmsm.943746
IEEE AJA R,Chinebu I,Godwin Christopher Ezike M "Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population." Journal of mathematical sciences and modelling (Online), 4, ss.72 - 88, 2021. 10.33187/jmsm.943746
ISNAD AJA, Remigius Okeke vd. "Simulation on The Mathematical Model for the Control Of Hepatitis B Virus-Hepatitis D Virus (HBV-HDV) Co-infection Transmission Dynamics in a Given Population". Journal of mathematical sciences and modelling (Online) 4/2 (2021), 72-88. https://doi.org/10.33187/jmsm.943746