草地蝗虫种群数量消长数学模型研究

A Study on the Mathematical Models of Population Dynamic on the Prairie Grasshoppers

本文根据草地蝗虫发生特点，在充分考虑其数量消长受环境条件、敌害及本身内禀作用制约的基础上，提出了以时序为特点的几种主要蝗虫及混虫种群数量消长的数学模型。宽须蚁蝗、狭翅雏蝗及混合种群密度的拟合模型中ｚ和ｘ有较强的相关性，故这几个模型较好的反映了消长情况。但在混合种群消长模型中，自９月１５日以后观测值迅速下降，而模型值并未很快下降，这是由于模型未考虑蝗虫生存的临界温度。

The mathemtical models in time sequence of grasshoppers and mixed population dynamics were produced on the basis of the population characteristics. enviromment effect,and innata capacity of increase. There were strong correlationships between z and x in the ninic models among Myrmeleotettex palpalis, Chotyippus dubius and mixed populations,therefore the models properly reflected the populations dynamics. However, while the observed values decreased rapidly since September 15. the values of the model did not show the similar situation, this is because that the grasshoppers surviving critical temperature was excluded.