%0 Journal Article
%T Stochastically perturbed allelopathic phytoplankton model
%A Syed Abbas
%A Malay Banerjee
%J Electronic Journal of Differential Equations
%D 2010
%I Texas State University
%X In this article we have considered a stochastic delay differential equation model for two species competitive phytoplankton system with allelopathic stimulation. We have extended the deterministic model system to a stochastic delay differential equation model system by incorporating multiplicative white noise terms in the growth equations for both species. We have studied the mean square stability of coexisting state using a suitable Lyapunov functional. Numerical simulation results are provided to validate the analytical findings.
%K Stability
%K bifurcation
%K Lyapunov functional
%K stochastic perturbation
%U http://ejde.math.txstate.edu/Volumes/2010/98/abstr.html