Effect of Time-Delay on a Ratio-Dependent Food Chain Model

B. Patra, A. Maiti, G. P. Samanta
2009 Nonlinear Analysis: Modelling and Control  
This paper aims to study the effect of time-delay on a tritrophic food chainmodel with Michaelis-Menten type ratio-dependent functional responses. Boundednessof the time-delayed system is established. A simple criterion for deterministic extinctionis derived. It has been shown that the time-delay may introduce instability in the systemthrough Hopf bifurcation. Computer simulations are carried out to explain the analyticalfindings. It is discussed how these ideas illuminate some of the observed
more » ... me of the observed properties ofreal populations in the field, and explores practical implications.
doi:10.15388/na.2009.14.2.14521 fatcat:dm2ayrh4prdwnjl23etakjm6w4