Research Article

On solutions of time fractional order random HIV/AIDS modelling

Volume: 42 Number: 6 December 9, 2024

On solutions of time fractional order random HIV/AIDS modelling

Abstract

In this study, The fractional random HIV/AIDS model approximate analytical solutions were produced using the differential transformation method. The approximate analytical solution of the fractional order Random HIV/AIDS model was obtained with the help of the differential transformation method. For the fractional random HIV/AIDS model, which was created by choosing the initial conditions from the exponential, beta, and normal distributions, graphic simulations of the expected value, variance, and confidence intervals of the most com-monly used probability characteristics were obtained with the help of the MATLAB package program. Results obtained are interpreted.

Keywords

References

  1. REFERENCES [1] World Health Organization. HIV. 2022. Available at: https://www.who.int/news-room/factsheets/detail/hiv-aids Last Accessed Date: 19.02.2022.
  2. [2] Worobey M, Gemmel M, Teuwen DE, Haselkorn T, Kunstman K, Bunce M. Direct evidence of extensive diversity of HIV-1 in Kinshasa by 1960. Nature 2008;455:661–664. [CrossRef]
  3. [3] Clavel F, Guétard D, Brun-Vézinet F, Chamaret S, Rey MA, Santos-Ferreira MO, Montagnıer L. Isolation of a new human retrovirus from West African patients with AIDS. Science 1986;233:343–346. [CrossRef]
  4. [4] Burgard M, Jasseron C, Matheron S, Damond F, Hamrene K, Blanche S. Mother-to-child transmission of HIV-2 infection from 1986 to 2007 in the ARNS French Perinatal Cohort EPF-CO1. Clin Infect Dis 2010;51:833–843. [CrossRef]
  5. [5] Xuanpei Z, Wenshuang L, Fengying W, Xuerong M. Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations. Chaos Solit Fract 2023;169. [CrossRef]
  6. [6] Vyambwera M. Mathematical modelling of the HIV/AIDS epidemic and the eff ect of public health education. Unpublished master's thesis. Cape Town: Western Cape University; 2014.
  7. [7] Kirschner D. Using mathematics to understand HIV ımmune dynamics. Notices Am Math Soc 1996;43:191–202.
  8. [8] Emvudu Y, Bongor D. Mathematical analysis of a HIV/AIDS model with treatment. IEJPAM 2012;4.

Details

Primary Language

English

Subjects

Clinical Sciences (Other)

Journal Section

Research Article

Publication Date

December 9, 2024

Submission Date

October 2, 2023

Acceptance Date

December 23, 2023

Published in Issue

Year 2024 Volume: 42 Number: 6

APA
Merdan, M., & Öktem, S. (2024). On solutions of time fractional order random HIV/AIDS modelling. Sigma Journal of Engineering and Natural Sciences, 42(6), 1899-1906. https://izlik.org/JA85CU45DK
AMA
1.Merdan M, Öktem S. On solutions of time fractional order random HIV/AIDS modelling. SIGMA. 2024;42(6):1899-1906. https://izlik.org/JA85CU45DK
Chicago
Merdan, Mehmet, and Selami Öktem. 2024. “On Solutions of Time Fractional Order Random HIV AIDS Modelling”. Sigma Journal of Engineering and Natural Sciences 42 (6): 1899-1906. https://izlik.org/JA85CU45DK.
EndNote
Merdan M, Öktem S (December 1, 2024) On solutions of time fractional order random HIV/AIDS modelling. Sigma Journal of Engineering and Natural Sciences 42 6 1899–1906.
IEEE
[1]M. Merdan and S. Öktem, “On solutions of time fractional order random HIV/AIDS modelling”, SIGMA, vol. 42, no. 6, pp. 1899–1906, Dec. 2024, [Online]. Available: https://izlik.org/JA85CU45DK
ISNAD
Merdan, Mehmet - Öktem, Selami. “On Solutions of Time Fractional Order Random HIV AIDS Modelling”. Sigma Journal of Engineering and Natural Sciences 42/6 (December 1, 2024): 1899-1906. https://izlik.org/JA85CU45DK.
JAMA
1.Merdan M, Öktem S. On solutions of time fractional order random HIV/AIDS modelling. SIGMA. 2024;42:1899–1906.
MLA
Merdan, Mehmet, and Selami Öktem. “On Solutions of Time Fractional Order Random HIV AIDS Modelling”. Sigma Journal of Engineering and Natural Sciences, vol. 42, no. 6, Dec. 2024, pp. 1899-06, https://izlik.org/JA85CU45DK.
Vancouver
1.Mehmet Merdan, Selami Öktem. On solutions of time fractional order random HIV/AIDS modelling. SIGMA [Internet]. 2024 Dec. 1;42(6):1899-906. Available from: https://izlik.org/JA85CU45DK

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/