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Estimation and Identifiability of Parameters for Generalized Lotka-Volterra Biological Systems Using Adaptive Controlled Combination Difference Anti-Synchronization

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Abstract

This manuscript systematically describes a procedure to investigate the combination difference anti-synchronization scheme among three identical chaotic generalized Lotka-Volterra biological systems. Initially, an adaptive parameter identification control method has been proposed which is based on the Lyapunov stability analysis. In addition, the biological adaptive control law for achieving global asymptotic stability of state variables of the considered system with unknown parameters has been derived. Numerical simulations have been thereafter presented for ensuring the effectivity and correctness of the considered technique using MATLAB. Remarkably, the obtained analytical results agree excellently with the computational results. The proposed approach has enormous applications in the area of image encryption and secure communication.

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  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, India

    Taqseer Khan & Harindri Chaudhary

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  1. Taqseer Khan
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  2. Harindri Chaudhary
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Correspondence to Harindri Chaudhary.

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Khan, T., Chaudhary, H. Estimation and Identifiability of Parameters for Generalized Lotka-Volterra Biological Systems Using Adaptive Controlled Combination Difference Anti-Synchronization. Differ Equ Dyn Syst 28, 515–526 (2020). https://doi.org/10.1007/s12591-020-00534-8

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