TWO-DIMENSIONAL NONLINEAR DYNAMIC SYSTEM MODEL OF INTERSPECIFIC INTERACTION AND NUMERICAL SIMULATION RESEARCH ON IT

摘要

The mechanism and the course of two-dimensional nonlinear dynamic system ofinterspecific interaction were dealt with systematically. By extending the Lotka-Volterramodel from the viewpoint of biomechanics, it developed new models of two-dimensionalnonlinear autonomous and nonautonomous dynamic systems, with its equilibrium point' sstability and the existence and stability of its periodical solutions analyzed, and didnumerical simulation experiments on its dynamics course. The results show that efficiency of interaction between two populations, time-varying effort, and change direction of actioncoefficient and reaction coefficient have important influences on the stability of dynamicsystem, that too large or too small interspecific interaction efficiency and contrary changedirection of action coefficient and reaction coefficient may result in the nonstability of thesystem, and thus it is difficult for two populations to coexist, and that time-varying activeforce contributes to system stability.