GLOBAL STABILITY OF SIR MODEL WITH NONLINEAR INCIDENCE RATE
Keywords:
SIR model, Equilibrium point, Nonlinear incidence rateAbstract
In this paper, we have extended the study of SIR model with nonlinear incidence rate of Sungsuwan & Daengkongkho in 2015 by considering the sufficient conditions for the model’s parameters that will make the disease-free equilibrium point to be global stable. It was found that prevention and control of epidemic condition by controlling the parameters of the infection rate and the recovery rate that is where is basic reproduction number.
References
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McCluskey C. Global stability for an SIR epidemic model with delay and nonlinearincidence, Nonlinear Analysis: Real World Applications. 2010; 11(4): 3106-3109.
Robinson JC, Sierzega M. A note on well-posedness of semilinear reaction-diffusion problem with singular initial data, Journal of Mathematical Analysis and Applications. 2012; 385(1): 105-110.
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Sungsuwan S, Daengkongkho S. Local stability of a SIR model with nonlinear incidence rate, The 2nd National Conference KPRU. Kamphaeng Phet Rajabhat University. 2015. 22 December 2015: 525-532.
Capasso V, Serio G. A generalization of the Kermack-McKendrick deterministic epidemic model, Mathematical Biosciences. 1978; 42(1-2): 43-61.
Dumrongpokaphan T, Kaewkheaw T, Ouncharoen R. Stability analysis of epidemic model with varying total population size and constants immigration rate, Chiang Mai Journal of Science. 2014; 41(2): 470-485.
McCluskey C. Global stability for an SIR epidemic model with delay and nonlinearincidence, Nonlinear Analysis: Real World Applications. 2010; 11(4): 3106-3109.
Robinson JC, Sierzega M. A note on well-posedness of semilinear reaction-diffusion problem with singular initial data, Journal of Mathematical Analysis and Applications. 2012; 385(1): 105-110.
Rothman KJ, Greenland S. Modern Epidemiology. Lippincott Williams & Wilkins, 1998.
Xu R, Ma Z. Global stability of a SIR epidemic model with nonlinear incidence rate and time delay,Nonlinear Analysis: Real World Applications. 2009; 10(5): 3175-3189.
Sungsuwan S, Daengkongkho S. Local stability of a SIR model with nonlinear incidence rate, The 2nd National Conference KPRU. Kamphaeng Phet Rajabhat University. 2015. 22 December 2015: 525-532.
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Published
2019-10-17
How to Cite
Daengkongkho, S. (2019). GLOBAL STABILITY OF SIR MODEL WITH NONLINEAR INCIDENCE RATE. Life Sciences and Environment Journal, 20(2), 318–326. Retrieved from https://ph01.tci-thaijo.org/index.php/psru/article/view/179686
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Research Articles
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