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Co-existence of Chaos and Control in Generalized Lotka–Volterra Biological Model: A Comprehensive Analysis

In: Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells

Author

Listed:
  • Taqseer Khan

    (Jamia Millia Islamia, Department of Mathematics)

  • Harindri Chaudhary

    (Jamia Millia Islamia, Department of Mathematics)

Abstract

In this work, a detailed investigation of difference combination anti-synchronization (DCAS) scheme among populations of interplaying biological species via active control technique (ACT) has been made, using generalized Lotka–Volterra (GLV) three species model. For the discussed GLV model, a comprehensive chaotic analysis is possible and we further plot the phase graphs of GLV model for a set of particular values of the considering parameters. Additionally, the active nonlinear controllers are designed in accordance with Lyapunov stability theory (LST) to show the asymptotic convergence of the synchronization errors globally. Moreover, some numerical simulations have been carrying out in MATLAB which confirms the effectiveness of the considered strategy. Remarkably, both computational and analytic outcomes agree efficiently.

Suggested Citation

  • Taqseer Khan & Harindri Chaudhary, 2021. "Co-existence of Chaos and Control in Generalized Lotka–Volterra Biological Model: A Comprehensive Analysis," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells, pages 271-279, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-73241-7_17
    DOI: 10.1007/978-3-030-73241-7_17
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