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Bifurcation Analysis of a Synthetic Drug Transmission Model with Two Time Delays

Author

Listed:
  • Hu Zhang

    (School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China)

  • Anwar Zeb

    (Department of Mathematics, Abbottabad Campus, COMSATS University Islamabad, Islamabad 22060, Pakistan)

  • Aying Wan

    (School of Mathematics and Statistics, Hulunbuir University, Hulunbuir 021008, China)

  • Zizhen Zhang

    (School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China)

Abstract

Synthetic drugs are taking the place of traditional drugs and have made headlines giving rise to serious social issues in many countries. In this work, a synthetic drug transmission model incorporating psychological addicts with two time delays is being developed. Local stability and exhibition of Hopf bifurcation are established analytically and numerically by taking the combinations of the two time delays as bifurcation parameters. The exhibition of Hopf bifurcation shows that it is burdensome to eradicate the synthetic drugs transmission in the population.

Suggested Citation

  • Hu Zhang & Anwar Zeb & Aying Wan & Zizhen Zhang, 2022. "Bifurcation Analysis of a Synthetic Drug Transmission Model with Two Time Delays," Mathematics, MDPI, vol. 10(9), pages 1-21, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1532-:d:807794
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    References listed on IDEAS

    as
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