种间竞争的一个新的数学模型—对经典的Lotka-Volterra竞争方程的扩充

A new mathematical model of interspecific competition: an expansion of Lotka-Volterra competition equations.

本文根据营养动力学理论,建立了一类种间竞争的新的数学模型:它是单种群增长的Cui-Lawson模型,在种间竞争上的推广。新的种间竞争模型克服了经典的种间竞争的Lotka-Volteira方程的局限与不足,具有更广泛和复杂的行为,并在特殊条件下以Lotka-Volterra竞争方程为其特例。因此,新的种间竞争的数学模型是更一般的解释性模型,是对经典的Lotka-Voterra竞争方程的扩充。

The classical Lotka-Volterra competition equations are the direct extension of the classical Logistic equation of single population growth. Because they have no necessary theoretical basis and oversimplify the process of interspecific competition,it is not suitable for Lotka Volterra competition equations to be a general theoretical model of interspecific competition. Based upon the theory of nutrition kinetics, a new kind of competition model is constructed as follows:They are the extension of Cui-Lawson model of single population growth which is as follows:The new competition model has more complex and extensive behaviours than Lotka Volterra competition equations, and under specific condition, it turns into Lotka-Volterra competition equations. Therefore, the new competition equations are more general, and are the expansion of classical Lotka-Volterra competition equations.