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Qualitative Study of Autotroph-Herbivore System in Fluctuating Environment.
by
Kalyan Das
B.P.Poddar Institute of Management & Technology,137, VIP Road,Kolkata:700 052,India.
In the present study we consider a nutrient-based model of plant herbivore interaction with a delayed nutrient recycling and stochastic perturbation incorporating the average number of herbivores attacking the plants follow Poission distribution (random herbivore attack). We have derived the conditions for asymptotic stability of the steady state with delay and without delay and with the effect of stochastic perturbation.We also estimated the length of the delay preserving the stability.The criterion for existence of Hopf-type small amplitude periodic oscillations of plant biomass and herbivore numbers are derived. Finally, all the analytical results are interpreted ecologically.
Date received: August 8, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavk-05.