摘要
本文首先用偏微分方程描述了一类带生长函数的具有林龄结构的植物病虫害模型;其次主要利用算子理论、积分方程理论证明了模型解的存在唯一性,利用对应的特征方程讨论了系统平衡态的稳定性.
In this paper, we use the partial differential equation to describe a class of age-structure model of the plant diseases and insect pests which contains a growth function. By the means of operator theory and integral equation theory, we prove the existence and uniqueness of the solution of the model. We then use the characteristic equation of the model to discuss the stability of the equilibrium state.
出处
《应用泛函分析学报》
2017年第2期159-164,共6页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(61273016)
关键词
植物病虫害
存在性
平衡态
稳定性
plant diseases and insect pests
existence
equilibrium state
stability
