Effect of stochastic perturbation on a two species competitive model |
| |
Authors: | S. Abbas D. Bahuguna M. Banerjee |
| |
Affiliation: | Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur - 208 016, India |
| |
Abstract: | In this paper first we study the stability and bifurcation of a two species competitive model with a delay effect. Next we extend the deterministic model system to a stochastic delay differential system by incorporating multiplicative white noise terms in growth equations of both species. We consider the stochastic stability of a co-existing equilibrium point in terms of mean square stability by constructing a suitable Lyapunov functional. We perform a numerical simulation to validate our analytical findings. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |