Dynamic model of smokers and its sensitivity analysis

Moch. Fandi Ansori, Ratna Herdiana


We study a smoking dynamical model with two types of smokers: beginners and heavy smokers. The qualitative behavior of the model, such as the stability of the equilibrium points and the basic reproduction number, is investigated. We show some simulations to validate the analytical findings, such as solution dynamics at different time scales and phase portraits of solutions with varying initial conditions. We also present a normalized sensitivity analysis of the basic reproduction number to discover which parameter has the most impact on smoking transmission, and perform a time-dependent sensitivity analysis of parameters to examine their impact on population dynamics.

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Published: 2023-04-24

How to Cite this Article:

Moch. Fandi Ansori, Ratna Herdiana, Dynamic model of smokers and its sensitivity analysis, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 39

Copyright © 2023 Moch. Fandi Ansori, Ratna Herdiana. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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