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Smoking as Epidemic: Modeling and Simulation Study
American Journal of Applied Mathematics
Volume 5, Issue 1, February 2017, Pages: 31-38
Received: Dec. 4, 2016; Accepted: Dec. 23, 2016; Published: Feb. 23, 2017
Author
Sintayehu Agegnehu Matintu, School of Mathematical and Statistical Sciences, Hawassa University, Hawassa, Ethiopia
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Abstract
In this paper we propose smoking epidemic model which analyzes the spread of smoking in a population. The model consists of five compartments corresponding to five population classes, namely, potential-moderate-heavy-temporarily recovered- permanently recovered class. The basic reproduction number R0 has been derived, and then the dynamical behaviors of both smoking free equilibrium and smoking persistent equilibrium are analyzed by the theory of differential equation, and Numerical simulation has been carried out and the results have confirmed the verification of analytical results. Sensitivity analysis of R0 identifies β1, the transmission coefficient from potential smokers to moderate smokers and β2, the transmission coefficient from potential smokers to heavy smokers, as the most useful parameters to target for the reduction of R0.
Keywords
Smoking Model, Reproduction Number, Equilibrium Value, Stability, Sensitivity Analysis, Numerical Simulation
Sintayehu Agegnehu Matintu, Smoking as Epidemic: Modeling and Simulation Study, American Journal of Applied Mathematics. Vol. 5, No. 1, 2017, pp. 31-38. doi: 10.11648/j.ajam.20170501.14
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