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

Xuhui Li, Ranjit Kumar Upadhyay, Anwar Zeb and Zizhen Zhang
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Xuhui Li: School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, P. R. China
Ranjit Kumar Upadhyay: ��Department of Mathematics & Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, Bihar, India
Anwar Zeb: ��Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunkhwa, Pakistan
Zizhen Zhang: School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-10

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: Delay; Smoking Model; Hopf Bifurcation; Stability Analysis (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X2240165X

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