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Effect of time-delay on a food chain model
Authors:A. Maiti   A.K. Pal  G.P. Samanta  
Affiliation:

aDepartment of Mathematics, Presidency College, Kolkata 700 073, India

bDepartment of Mathematics, St. Thomas’ College of Engineering and Technology, Kolkata 700 023, India

cDepartment of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711 103, India

Abstract:This paper aims to study the effect of discrete time-delay on a tritrophic food chain model with Holling type-II functional responses. Dynamical behaviours such as boundedness, stability, persistence and bifurcation of the model are studied. Our analytical findings are illustrated through computer simulation. Biological implications of our analytical findings are addressed critically.
Keywords:Food chain model   Stability   Hopf bifurcation   Time-delay
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