Syed Abbas, Malay Banerjee
Abstract:
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.
Submitted May 18, 2010. Published July 21, 2010.
Math Subject Classifications: 93E15, 34C23, 37B25, 34K50.
Key Words: Stability; bifurcation; Lyapunov functional;
stochastic perturbation
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Syed Abbas Department of Mathematics and Statistics Indian Institute of Technology Kanpur Kanpur - 208016 India. email: sabbas.iitk@gmail.com |
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Malay Banerjee Department of Mathematics and Statistics Indian Institute of Technology Kanpur Kanpur - 208016 India email: malayb@iitk.ac.in |
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