摘要
研究了具有经济阈值和人文控制策略的植物疾病模型。根据某一参数的三种情况分析了唯一的正的周期解的存在性,并利用定性理论给出了在该参数某种范围下周期解全局稳定的充分条件,同时得到在其它两种情况下周期解的不稳定性。文章所得结论推广了综合疾病管理中植物疾病模型的经典结论。
In this paper, the plant disease model including impulsive cultural control strategy （such as roguing and replanting interventions） and Economic Threshold （ET） on the infected plants is analyzed. We examine the existence of the unique positive peliodic solution in terms of three cases of a certain parameter space. Then the stability of the periodic solution in three situations is investigated. By using qualitative methods, we prove that the periodic solution in one situation is globally asymptotically stable under some conditions, and the one in other cases is unstable. The main results obtained here extend and generalize the classical results for systems of plant diseases in the integrated disease management.
出处
《生物数学学报》
CSCD
北大核心
2009年第3期385-396,共12页
Journal of Biomathematics
基金
supported by the National Natural Science Foundation of China (NSFC,10871122)
the Project-sponsored by SRF for ROCS,SEM
关键词
植物疾病
人文控制
经济闽值
IDM
Plant disease
Cultural control
Economic Threshold
IDM
