阻滞增长模型支持下对益虫和害虫数量关系及农药影响的分析

Relations Between Beneficial Insects and Pests in Natural Condition and under Pesticide with Support of Logistic Growth

研究了在自然状态和喷洒农药情况下益虫和害虫数量的发展趋势.基于logistic模型并加以改进建模,通过分析微分方程平衡点的稳定性,分别得出了自然状态下益虫和害虫的数量发展规律.在此基础上,进而建立了农药影响的模型并进行了计算机仿真,仿真结果证明了新模型的合理性和适用性,解决了Lotka—Volterra模型存在的问题.另外,该仿真程序本身可以作为应用程序用于实际的农田管理.

In this paper, the numerical relation between beneficial insects and pests in natural condition and under pesticide is discussed. Based on logistic model, a new predator-prey model is advanced, and then the stability of its equilibrium points is analyzed to solve the regularity of the trend of beneficial insects and pests without human interference. To the effect of pesticide, a pesticide model on the basis of natural model is proposed. The results of simulation show that, we renew and improve the conclusion of Lotka-Volterra model,and developed a program that can be used conveniently in actual production.