Open AccessTransmission dynamics and optimal control of stage-structured HLB model
Author(s) -
Yun Bo Tu,
Shu Jing Gao,
Sudip Samanta,
Yu Jiang Liu,
Di Chen,
Yan Xu
Publication year - 2019
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2019259
Subject(s) - transmission (telecommunications) , quarantine , basic reproduction number , orchard , china , stage (stratigraphy) , control (management) , vector (molecular biology) , operations research , mathematics , computer science , biology , geography , ecology , demography , artificial intelligence , telecommunications , population , paleontology , recombinant dna , biochemistry , archaeology , sociology , gene
Citrus Huanglongbing (HLB) is one of severe quarantine diseases affecting citrus pro-duction both in abroad and domestic. Based on the mechanism and characteristics of citrus HLB transmission, we establish a vector-borne model with stage structure and integrated strategy and inves-tigate the effect of the strategy in controlling the spread of HLB. By calculating, we obtain the basic reproductive number R 0 , and prove that the disease can be eradicated if R 0 < 1, whereas the disease will persist if R 0 > 1. Meanwhile, we apply the optimal control theory to obtain an optimal integrated strategy. Finally, we use our model to simulate the data of the numbers of inspected and infected citrus trees in "Yuan Orchard", located in Ganzhou City, Jiangxi Province in the southeast of P.R China. We also give some numerical simulations for our theoretical findings.