Hopf bifurcation of the stochastic model on HAB nonlinear stochastic dynamics

Dongwei Huang, Hongli Wang, Jianfeng Feng and Zhi-wen Zhu

Chaos, Solitons & Fractals, 2006, vol. 27, issue 4, 1072-1079

Abstract: A nonlinear stochastic dynamical model on a typical HAB algae diatom and dianoflagellate densities was created and presented in this paper. Simplifying the model through a stochastic averaging method, we obtained a two-dimensional diffusion process of averaged amplitude and phase. The singular boundary theory of diffusion process and the invariant measure theory were applied in analyzing the bifurcation of stability and the Hopf bifurcation of the stochastic system. The critical value of the stochastic Hopf bifurcation parameter was obtained and the conclusion that the position of Hopf bifurcation drifting with the parameter increase is presented as a result.

Date: 2006
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:4:p:1072-1079

DOI: 10.1016/j.chaos.2005.04.086

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