随机激励下藻类生态系统的分岔研究

Bifurcation of the Algal Ecosystem with Random Excitation

为了研究随机干扰因素与藻类生态系统稳定性之间的相互关系,运用随机非线性理论中的随机平均法和Oseledec乘性遍历定理研究了浮游动物和浮游植物构成的藻类生态系统的稳定性和分岔特性.通过对稳态概率密度的数值模拟,确定系统会发生随机Hopf分岔.研究结果表明,随机因素可以使系统稳定性发生质的变化.

To investigate the relationship between random excitation and stability of algal ecosystem, stability and bifurcation performance of an algal ecosystem consisting of zooplankton and phytoplankton was studied by using stochastic average method and Oseledec muhiplicative ergodic theory. It is certain that the system would present stochastic Hopf bifurcation through numerical simulation of the steady probability density. Results show that the stochastic factors can change the stability of the system.