广义Logistic模型的拟合

Method of Fitting General Loglstic Model

给出了广义 Logistic 模型有显示解的存在定理及其参数的一种拟合方法,并以稻田捕食天敌种群数量变化进行实际拟合,从而验证该模型对于描述各种不同生物种群的动态有更广泛的适用性.

The model dx/dt=rx(k-x)/(k+vx) vas called general logistical model,where x is the population at time t, the parameters r(r>0),k(k>0),and v(v≥-1)are the intrinsic rate of increase,carring capacity and control parameter,respectively.The method of fitting its parameters was put forward in the paper,and exis- tence of its explicit expression solution was discribed,too.By fitting the experimental data of five natural enemies population,it was shown that general logistic model could apply more extensively than logistic model.