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GLOBAL STABILITY ANALYSIS AND HOPF BIFURCATION OF A DELAYED REVERSION CLASS SMOKING MODEL

School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, P. R. China

Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, Bihar, India

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ANWAR ZEB

Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunkhwa, Pakistan

E-mail Address: anwar@cuiatd.edu.pk

Corresponding author.

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, and

ZIZHEN ZHANG

School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, P. R. China

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https://doi.org/10.1142/S0218348X2240165XCited by:1 (Source: Crossref)

This article is part of the issue:

Special Issue on Fractal AI-Based Analyses and Applications to Complex Systems: Part III
Lead Guest Editors: Yeliz Karaca & Dumitru Baleanu
Guest Editors: Majaz Moonis, Yu-Dong Zhang & Osvaldo Gervasi

Abstract

Smoking poses an enormous threat to public health in the globe and continues to be one of the main cause of health problems. In this paper, a delayed smoking model with reversion class is proposed. Local stability of the smoking equilibrium and Hopf bifurcation is analyzed by taking the time delay as the bifurcation parameter. In particular, global exponential stability is proved by using the linear matrix inequality method. The theoretical results obtained are validated numerically and graphically.

Keywords:

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Vol. 30, No. 05

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History

Received 20 October 2021

Accepted 2 January 2022

Published: June 6, 2022

Information

This is an Open Access article in the “Special Issue Section on Fractal AI-Based Analyses and Applications to Complex Systems: Part III”, edited by Yeliz Karaca (University of Massachusetts Medical School, USA), Dumitru Baleanu (Cankaya University, Turkey), Majaz Moonis (University of Massachusetts Medical School, USA), Yu-Dong Zhang (University of Leicester, UK) & Osvaldo Gervasi (Perugia University, Italy) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 (CC-BY-NC-ND) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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GLOBAL STABILITY ANALYSIS AND HOPF BIFURCATION OF A DELAYED REVERSION CLASS SMOKING MODEL

Abstract

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