Study on population's oscillatory interactions using parameter Identification method

Abstract

This manuscript exhibits a detailed survey and analysis of parameter identification method (PIM) considering chaotic generalized Lotka-Volterra (GLV) model which appears in the biological system, in a simplistic yet elaborated manner. Initially, the combination difference hybrid synchronization (CDHS) technique using PIM has been proposed which is based on Lyapunov stability theory (LST). Additionally, the biological control laws and parameter update laws for attaining asymptotic stability globally of state variables of the GLV system with unknown parameters have been designed simultaneously. Numerical simulations are thereafter performed for validating the accuracy and effectiveness of the designed strategy using MATLAB. Significantly, results obtained theoretically and experimentally are in excellent agreement. Furthermore, the proposed strategy has numerous applications in the field of image encryption, control theory and secure communication.