含虫龄和虫态结构的瓢虫与棉蚜种群差分方程模型

根据棉蚜、十一星瓢虫的生物学特性建立了具有不同虫龄结构和虫态的种群差分方程模型,利用新疆棉区十一星瓢虫对棉蚜捕食作用的调查和实验数据,确定了模型的各种参数,模拟了一个夏季92天内棉田棉蚜、十一星瓢虫数量的变化趋势.利用该模型,对不同温度、不同植株营养状况下十一星瓢虫的发育及对棉蚜的捕食状况进行了对比模拟计算.通过与实际调查数据对比分析,验证了模型的准确性和实用性.

A Class of Dynamical Model and Numerical Simulation of the Predatism of Coccinella Undecimpunctata on Cotton Aphid Aphis Gossypii

Based on both the Biological Characters of Aphis gossypii and Coecinella undecimpunctata Linnaeus,population difference equation model with different age-structure and different character is deduced.All model paramerers are defined by experimental data and observation about Coccinella undecimpunctata preying cotton aphid Aphis gossypii at the Xinjiang cotton fields.At the same time,we simulate the change trend in quantity about Coccinella undecimpunctata Linnaeus and Aphis gossypii at the cotton field during 92 days in summer.We have the comparison analog computation about the growth of Coccinella undecimpunctata Linnaeus and the situation of Aphis gossypii being preied on under different temperature,different nutrition of plant.The simulated results is so close to the observational data,so it proved that the model is accurate and useful.