Environment, Population Dynamics and Ecological Synergetics

摘要

Based on the synergetic equations, we derive the Lorenz model, which may describe the change between two species. By a way of the adiabatic approximation, different models of population dynamics are obtained. Further, we research various simplified results in the model and their ecological meaning by the qualitative analysis theory of the nonlinear equations, etc. From this it points out two outlets on the protection of rare species. The ecological synergetics promulgates deeply a complex nonlinear relation between competition and cooperation on different species. Then the general nonlinear evolutional equations of ecosystem are searched, and the human crises and our outlets are discussed.