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Asymptotic Stability Analysis for Chaotic Predator-Prey Model via Active Controlled Hybrid Compound Difference Synchronization Strategy

In: Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models

Author

Listed:
  • Ayub Khan

    (Jamia Millia Islamia, Department of Mathematics)

  • Harindri Chaudhary

    (Jamia Millia Islamia, Department of Mathematics)

Abstract

This manuscript addresses a comprehensive methodology to investigate hybrid compound difference synchronization (HCDS) in chaotic three species predator-prey model (PPM) via active control strategy (ACS). A detailed chaotic analysis is possible in the considered three species model for a particular set of parameters. Based on master-slave configuration and Lyapunov stability theory (LST), the newly designed active nonlinear control functions establish fast asymptotic convergence of synchronized errors to the origin globally. Additionally, some numerical simulations in MATLAB environment are conducted to illustrate the feasibility and efficacy of the discussed strategy. Significantly, both computational and analytic results agree excellently. Finally, a comparative study has been done which exhibits the significance of considered strategy over earlier published literature.

Suggested Citation

  • Ayub Khan & Harindri Chaudhary, 2022. "Asymptotic Stability Analysis for Chaotic Predator-Prey Model via Active Controlled Hybrid Compound Difference Synchronization Strategy," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models, pages 171-181, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-12515-7_9
    DOI: 10.1007/978-3-031-12515-7_9
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