抄録
Physical, chemical and social phenomena contain some kind or another of uncertainties to a greater or lesser extent. The analysis of influence of such uncertainties on phenomena is very important as a basic problem in various fields including design and planning of controlled systems in control engineering and analysis of option pricing in economics. In this paper, focusing on biological communities, we study the influence of the random uncertainties on predator-prey systems with diffusion. Noting that interaction of phytoplankton and zooplankton is the basis of a food chain in the ocean, we firstly consider the stochastic predator-prey systems consists of phytoplankton and zooplankton. Secondly, a modeling of the stochastic phytoplankton-zooplankton-fish system is considered. We analyze the influence of the random uncertainties on the spatio-temporal patterns generated by two types of the predator-prey systems with diffusion by the numerical simulations.
