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Global Stability Analysis And Hopf Bifurcation Of A Delayed Reversion Class Smoking Model

Author

Listed:
  • 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)

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.

Suggested Citation

  • Xuhui Li & Ranjit Kumar Upadhyay & Anwar Zeb & Zizhen Zhang, 2022. "Global Stability Analysis And Hopf Bifurcation Of A Delayed Reversion Class Smoking Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-10, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x2240165x
    DOI: 10.1142/S0218348X2240165X
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