瓢虫捕食棉蚜的非自治方程模型及数值分析

Non-autonomous Model and Numerical Simulation of the Predatism of Coccinella Undecimpunctata on Aphis Gossypii

本文根据新疆棉区十一星瓢虫对棉蚜捕食作用的调查和实验数据,建立了十一星瓢虫捕食棉蚜的非自治种群动力学理论模型.讨论了解的基本性质.采用数值方法模拟了十一星瓢虫和蚜虫的种群密度随时间的变化关系,将模拟结果与实际调查数据进行比较分析,验证了模型的准确性和实用性.

Based on the observations and data of Coccinella undecimpunctata L.preying Aphis gossypii in the cotton fields of Xinjiang,a predator-prey population dynamical model is deduced.While researching the basical property of solutions,we simulate the time-varying numbers of C.undecimpunctata and A.gossypii with numerical method.Through comparing,we find the simulated results are so close to the observational data that it prove that the model is accurate and useful.