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

被引：10
|
作者：
Gao, Shujing [1 ,2 ]
Luo, Lei [1 ]
Yan, Shuixian [1 ]
Meng, Xinzhu [3 ]
机构：
[1] Gannan Normal Univ, Key Lab Jiangxi Prov Numer Simulat & Emulat Techn, Ganzhou 341000, Peoples R China
[2] Gannan Normal Univ, Natl Res Ctr Navel Orange Engn & Technol, Ganzhou 341000, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
COMPLEXITY | 2018年
基金：
中国国家自然科学基金;
关键词：
CANDIDATUS LIBERIBACTER ASIATICUS; COMPARTMENTAL EPIDEMIC MODELS; THRESHOLD DYNAMICS; DIAPHORINA-CITRI; DISEASE; TRANSMISSION; SPREAD; MANAGEMENT; VIRUS;
D O I：
10.1155/2018/2953623
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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收藏
页数：11
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