Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations

作者：Shujing Gao, Lei Luo, Shuixian Yan, Xinzhu Meng · 发表于：Complexity · 年份：2018 · DOI：10.1155/2018/2953623 · 被引用次数：30 · 研究领域：Mathematical and Theoretical Epidemiology and Ecology Models、Evolution and Genetic Dynamics、Plant Parasitism and Resistance

This paper studies a new model for Huanglongbing with seasonal fluctuations. Switching coefficients and switching control schemes are considered in this model. The main purpose of this paper is to study the effects of switching control schemes on dynamics of the model. Firstly, we theoretically investigate the basic reproductive number and its computation formulae for general impulsive switching model with periodic environment. Secondly, the basic reproductive number and global dynamics of the impulsive switching model for Huanglongbing are analyzed. Finally, numerical results indicate that spring and autumn are the optimum seasons for killing psyllids, and winter is the optimum season for removing infected trees.