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Discontinuity, Nonlinearity, and Complexity 10(3) (2021) 381--396 | DOI:10.5890/DNC.2021.09.003

S. Magudeeswaran$^1$ , K. Sathiyanathan$^1$, R. Sivasamy$^2$, S.Vinoth$^1$, M. Sivabalan$^1$

$^1$ Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641 020, Tamil Nadu, India

$^2$ M. Kumarasamy College of Engineering, Karur - 639 113, Tamil Nadu, India

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Abstract

The aim of this work is to analyze the dynamics of intraguild predation model with ratio-dependent functional response and time-delay. We examine the conditions for local stability and existence of Hopf-bifurcation. Also, the condition for global stability is established by using proper Lyapanov function. Finally numerical simulations are given to verify the proposed theoretical results and the system investigate through graphical illustrations.

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