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

Autor: Harindri Chaudhary, Taqseer Khan
Rok vydání: 2021
Předmět:
Zdroj: Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells ISBN: 9783030732400
DOI: 10.1007/978-3-030-73241-7_17
Popis: 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.
Databáze: OpenAIRE