The Spread of Contagious Disease (Measles) using Sir Model: A case study of Yobe State Specialist Hospital, Damaturu
DOI:
https://doi.org/10.53797/aseana.v1i1.2.2021Abstract
Based on the findings so far, HAM generates series which converge speedily after some iteration. The epidemic has set up affecting the positive fraction of the community host with as average of 996 infected person daily. The epidemic level was slow in the first place but later it increases exponentially indicating a sign of danger to the said community of host. Sequel to the finding obtained in this study it is obvious that the results obtained have depicted the number of people likely to be infected over a period of time and make a reasonable for best of how many people to be infected in a certain time to enable a proper decision and supply in case of an outbreak (measles) like this in a given society of host with known population number. Although the study has not make it to our consumption the death that occurred since inception of the epidemic the number of recovered people and the inclining and declining, in the trend of their immune system during measles when on treatment. Further study could be conducted by any interested candidate to make clarification of these not known parameter enlisted above by the study.
Downloads
References
Adamu, H. Y. (2001). AIDS awareness. Spectrum Books Limited.
Banje, Y. M. (2016). Perceived Stigmatization, Social Support, Gender And Educational Level On Self Disclosure Of Hiv/Aids Status Among Plwha In Jos (Doctoral dissertation).
Brug, J., Aro, A. R., & Richardus, J. H. (2009). Risk perceptions and behaviour: towards pandemic control of emerging infectious diseases.
Bohner, M., Streipert, S., & Torres, D. F. (2019). Exact solution to a dynamic SIR model. Nonlinear Analysis: Hybrid Systems, 32, 228-238.
Bushnaq, S., Khan, S. A., Shah, K., & Zaman, G. (2018). Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative. Cogent Mathematics & Statistics, 5(1), 1432521.
Buonomo, B., d’Onofrio, A., & Lacitignola, D. (2008). Global stability of an SIR epidemic model with information dependent vaccination. Mathematical biosciences, 216(1), 9-16.
Busenberg, S., & Van den Driessche, P. (1990). Analysis of a disease transmission model in a population with varying size. Journal of mathematical biology, 28(3), 257-270.
Carlin, E. M., Hannan, M., Walsh, J., Talboys, C., Shah, D., Flynn, R., ... & Boag, F. C. (1997). Nasopharyngeal flora in HIV seropositive men who have sex with men. Sexually Transmitted Infections, 73(6), 477-480.
Chapman, R. S. (1997). Language development in children and adolescents with Down syndrome. Mental Retardation and Developmental Disabilities Research Reviews, 3(4), 307-312.
Coventry, G. (1999). David Wilson & John Ashton, What Everyone in Britain Should Know About Crime And Punishment. Current Issues in Criminal Justice, 10(3), 326-329.
Davidson, R. J., & Irwin, W. (1999). The functional neuroanatomy of emotion and affective style. Trends in cognitive sciences, 3(1), 11-21.
Enagi, A. I. (2013). A deterministic compartmental model of tuberculosis control strategy adopted by the national tuberculosis and leprosy control program in Nigeria’’. Specific journal of science and technology. 14 (1) 342-348.
Friedrich, M. J. (2017). Depression is the leading cause of disability around the world. Jama, 317(15), 1517-1517.
Lerner, T. R., de Souza Carvalho-Wodarz, C., Repnik, U., Russell, M. R., Borel, S., Diedrich, C. R., ... & Gutierrez, M. G. (2017). Lymphatic endothelial cells are a replicative niche for Mycobacterium tuberculosis. The Journal of clinical investigation, 126(3), 1093-1108.
Liao, S. J. (1998). Homotopy Analysis Method: A New Analytical Method for Nonlinear Problems. Applied Mathematics and Mechanics (English Edition, Vol.19, No.10.
Liao, S. J. (2004). On the homotopy analysis method for nonlinear problems. App Math Comput.; 174:499-513.
Makinde, O. D. (2007). Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy. applied Mathematics and Computation, 184(2), 842-848.
Mugisha, J. Y. T., Ssematimba, A., & Luboobi, L. S. (2015). Mathematical models for the dynamics of TB in density – dependent populations; the case of internally displaced peoples’ camps (IDPCS) in Uganda. Biostat., volume 1, Number 3, ISSN 1549-3644, PP; 217-224.
Roy, M., Anderson, & May, R. M. (1985). Vaccination and Herd Immunity to Infectious Disease Nature, 318(6044):323-9.
Sharma, S., Singh, U., & Katiyar, V. K. (2015). Magnetic field effect on flow parameters of blood along with magnetic particles in a cylindrical tube. Journal of Magnetism and Magnetic Materials, 377, 395-401.
Shaban, N., Andersson, M., Svensson, Å., & Britton, T. (2008). Networks, epidemics and vaccination through contact tracing. Mathematical biosciences, 216(1), 1-8.
Tang, J., Jones, S. A., Jeffery, J. L., Miranda, S. R., Galardi, C. M., Irlbeck, D. M., ... & Johns, B. A. (2014). Synthesis and biological evaluation of macrocyclized betulin derivatives as a novel class of anti-HIV-1 maturation inhibitors. The open medicinal chemistry journal, 8, 23.
Tracy, B. H., & Sheldon, C. (2016). Stress and immunity in Humans. A meta- analytic Review, psychosomatic medicine, volume 55, PP; 364-379.
Theorell, T. (2017). Music and public health–empirical studies in SwedenTöres Theorell. European Journal of Public Health, 27(suppl_3).
Viboud, C., Simonsen, L., Fuentes, R., Flores, J., Miller, M. A., & Chowell, G. (2016). Global mortality impact of the 1957–1959 influenza pandemic. The Journal of infectious diseases, 213(5), 738-745.
Weiss, H. H. (2013). The SIR model and the foundations of public health. Materials matematics, 0001-17.
World Health Organization. (2002). Progress in the Eastern Mediterranean Region on AIDS, tobacco-free initiative, poliomyelitis eradication, measles elimination, tuberculosis control and the global alliance for vaccines and immunization (No. EM/RC49/INF. DOC. 1-6).
Zaman, G., & Jung, I. H. (2007, December). Stability techniques in SIR epidemic models. In PAMM: Proceedings in Applied Mathematics and Mechanics (Vol. 7, No. 1, pp. 2030063-2030064). Berlin: WILEY‐VCH Verlag.
Zhao, Y., Hong, J. S., Zhang, G. M., & Wang, B. Z. (2010, September). A harmonic-rejecting monopole antenna with SIR ground for rectenna. In 2010 International Symposium on Signals, Systems and Electronics (Vol. 1, pp. 1-3). IEEE.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Umar Yusuf Madaki, Ahmed Audu Daya
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
