Two-Dimensional Nonlinear Dynamic System Model of Interspecific Interaction and Numerical Simulation Research on It

LI Zi-zhen; XU Cai-lin; WANG Wan-xiong

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(7): 739-746

LI Zi-zhen, XU Cai-lin, WANG Wan-xiong. Two-Dimensional Nonlinear Dynamic System Model of Interspecific Interaction and Numerical Simulation Research on It[J]. Applied Mathematics and Mechanics, 2003, 24(7): 739-746.

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Two-Dimensional Nonlinear Dynamic System Model of Interspecific Interaction and Numerical Simulation Research on It

1.
Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China;
2.
State Key Laboratory of Arid Agroecology, Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 2002-01-21
Rev Recd Date: 2002-03-10
Publish Date: 2003-07-15

Abstract

Abstract

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

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References(11)

References

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