International Journal of Stochastic Analysis
Volume 2014 (2014), Article ID 501836, 9 pages
Research Article

Influence of Gestation Delay and Predator’s Interference in Predator-Prey Interaction under Stochastic Environment

Department of Zoology, Ecological Modelling Laboratory, Visva-Bharati University, Santiniketan 731 235, India

Received 23 September 2013; Revised 4 March 2014; Accepted 6 March 2014; Published 8 April 2014

Academic Editor: Ravi P. Agarwal

Copyright © 2014 Debaldev Jana. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Previous experimental and theoretical studies suggest that predator’s interference in predator-prey relationship provides better descriptions of predator’s feeding over a range of predator-prey abundances. Also biological delays and environmental stochasticity play an important role to describe the system and its values. In this present study, I consider a Gaussian white-noise induced stochastic predator-prey model with the Beddington-DeAngelis functional response and gestation delay. Stochastic stability is measured by second order moment terms by calculating the nonequilibrium fluctuation of the nondelayed system and Fourier transform technique depicts the fluctuation of stochastic stability by introducing time lag. Different dynamical behaviors for both situations have been illustrated numerically also. The biological implications of my analytical and numerical findings are discussed critically.