一类生态系统模型食物链研究

Study on Food Chain in Ecosystem Models

从动力学的观点,构造了一个具有捕食性和趋化性的生态模型。通过特征值和稳定性理论以及数值方法对其动力学进行探讨,研究如何通过控制趋化、扩散和转化之间的关系,使多个种群在一个具有自产营养的封闭生态系统中保持共存以及食物链长度达到最大值。研究成果对生态环境的最优控制提供了一定的理论依据。

From the dynamic point of view,we construct a ecological model with prey-taxis and chemotaxis to investigate its dynamics by applying the theories of eigenvalue and stability as well as by numerical simulation.It is shown how to control the interaction of chemotaxis,diffusivity and conversion rates so that multiple populations keep coexistence in a closed ecological system with self-produced nutriment,and the length of food chain attains the maximum.The research results provide a theoretical basis for the optimal control of ecological environment.