ANALYSIS OF MEASLES DISEASE IN INDIVIDUAL USING BASIC SIR MODEL Mathematical model for measles
Main Article Content
Article Sidebar
Published
Apr 1, 2024
Sindu Devi Subramanian
Abstract
In this paper, we examine the measles pandemic using basic SIR model. We investigate endemic equilibrium points, disease-free equilibrium points, reproduction number as well as basic reproduction numbers in order to examine the effects of various partition transitions. It is proposed that the measles model is both locally and globally asymptotically stable at the disease-free equilibrium point. Additionally we have analysis the spreading of disease inside human body and its recovery time. The illustration is carried out by Euler method
How to Cite
Subramanian, S. D. (2024). ANALYSIS OF MEASLES DISEASE IN INDIVIDUAL USING BASIC SIR MODEL: Mathematical model for measles. SPAST Reports, 1(4). Retrieved from https://spast.org/ojspath/article/view/4966
Article Details
Keywords
SIR model, Stability Analysis, Reproduction number,Basic reproductive number,Euler Method
References
1. Liao S. J. (1998). Homotopy Analysis Method: A New Analytical Method for Nonlinear Problems.
Applied Mathematics and Mechanics, 19(10).
2.Chapman, S. J. (1997). Barley straw decomposition and S immobilization. Soil Biology and Biochemistry, 29(2), 109-114.
3. May, M., Gompels, M., Delpech, V., Porter, K., Post, F., Johnson, M., ... & Hill, T. (2011). Impact of late diagnosis and treatment on life expectancy in people with HIV-1: UK Collaborative HIV Cohort (UK CHIC) Study. Bmj, 343, d6016.
4. Jefferies, J. E., DeMay, R. W., & Lachinyan, G. L.(2014). U.S. Patent No. 8,768,565. Washington, DC: U.S. Patent and Trademark Office.
5. 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.
6. 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, 1(3):217-224.
7. Friedrich, M. J. (2017). Tuberculosis update 2017. Jama, 318(23), 2287-2287.
8. Lerner, M. (2017). The Mind and Faith of Justice Holmes: his speeches, essays, letters, and judicial
opinions. Routledge.
9. Barron, I. H. (2017) can stress cause diseases.Revisiting tuberculosis research oh Thomas
holmes. Ann Intern Med; 124:673-680.
10.Aronsson, G., Theorell, T., Grape, T.,Hammarström, A., Hogstedt, C., Marteinsdottir, I.,& Hall, C. (2017). A systematic review including meta-analysis of work environment and burnout symptoms. BMC public health, 17(1),264.
11.H.A.Bhavithra, S.Sindu devi “Feasibility and Stability Analysis for Basic Measles Model Using Fuzzy Parameter,” Contemporary mathematics Vol 5 issue 1 2024,897-912
Applied Mathematics and Mechanics, 19(10).
2.Chapman, S. J. (1997). Barley straw decomposition and S immobilization. Soil Biology and Biochemistry, 29(2), 109-114.
3. May, M., Gompels, M., Delpech, V., Porter, K., Post, F., Johnson, M., ... & Hill, T. (2011). Impact of late diagnosis and treatment on life expectancy in people with HIV-1: UK Collaborative HIV Cohort (UK CHIC) Study. Bmj, 343, d6016.
4. Jefferies, J. E., DeMay, R. W., & Lachinyan, G. L.(2014). U.S. Patent No. 8,768,565. Washington, DC: U.S. Patent and Trademark Office.
5. 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.
6. 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, 1(3):217-224.
7. Friedrich, M. J. (2017). Tuberculosis update 2017. Jama, 318(23), 2287-2287.
8. Lerner, M. (2017). The Mind and Faith of Justice Holmes: his speeches, essays, letters, and judicial
opinions. Routledge.
9. Barron, I. H. (2017) can stress cause diseases.Revisiting tuberculosis research oh Thomas
holmes. Ann Intern Med; 124:673-680.
10.Aronsson, G., Theorell, T., Grape, T.,Hammarström, A., Hogstedt, C., Marteinsdottir, I.,& Hall, C. (2017). A systematic review including meta-analysis of work environment and burnout symptoms. BMC public health, 17(1),264.
11.H.A.Bhavithra, S.Sindu devi “Feasibility and Stability Analysis for Basic Measles Model Using Fuzzy Parameter,” Contemporary mathematics Vol 5 issue 1 2024,897-912
Section
First Indus Four 24