Dynamical analysis of cigarette smoking model with a saturated incidence rate
Source abstract
Abstract
In this paper, we consider a delayed smoking model in which the potential smokers are assumed to satisfy the logistic equation. We discuss the dynamical behavior of our proposed model in the form of Delayed Differential Equations (DDEs) and show conditions for asymptotic stability of the model in steady state. We also discuss the Hopf bifurcation analysis of considered model. Finally, we use the nonstandard finite difference (NSFD) scheme to show the results graphically with help of MATLAB.
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Research context
OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Fractional Differential Equations Solutions · Mathematical Biology Tumor Growth
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Affiliations
Department of Mathematics, COMSATS Institute of Information Technology 1 , Abbottabad, 22060 Khyber Pakhtunkhwa, Pakistan
Department of Mathematics, King Abdul Aziz University 2 , Jeddah 21589, KSA
Department of Mathematics, University of Malakand 3 , Chakdara (18800) Dir (Lower), Khyber Pakhtunkhawa, Pakistan
Funding
King Abdulaziz University
References (22)
Show source-provided references
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