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EFFECT OF MATURATION AND GESTATION DELAYS IN A STAGE STRUCTURE PREDATOR PREY MODEL  

Banerjee, Sandip (Department of Mathematics, Hankuk University)
Mukhopadhyay, B. (Department of Mathematics, Central Calcutta Polytechnic)
Bhattacharyya, R. (Department of Mathematics, The Calcutta Technical School)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1379-1393 More about this Journal
Abstract
In this paper, a stage-structured predator prey model (stage structure on prey) with two discrete time delays has been discussed. The two discrete time delays occur due to maturation delay and gestation delay. Linear stability analysis for both non-delay as well as with delays reveals that certain thresholds have to be maintained for coexistence. Numerical simulation shows that the system exhibits Hopf bifurcation, resulting in a stable limit cycle.
Keywords
Stage Structure; Gestation delay; Maturation delay; Hopf bifurcation; Oscillations;
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