TITLE:
Threshold Dynamics of a Vector-Borne Epidemic Model for Huanglongbing with Impulsive Control
AUTHORS:
Jianping Wang, Feifei Feng, Zhicai Guo, Hengmin Lv, Juanjuan Wang
KEYWORDS:
Huanglongbing, Impulsive Control, Basic Reproduction Number, Disease-Free Periodic Solution, Permanence
JOURNAL NAME:
Applied Mathematics,
Vol.10 No.4,
April
24,
2019
ABSTRACT: In this paper, the basic reproduction number is calculated for Huanglongbing
(HLB) model with impulses which is a vector-borne epidemic model with impulses.
For controlling HLB, farmers’ experience is replanting of healthy plants and
removing infected plants. To reflect the real world, we construct an impulsive
control model which considers replanting of healthy plants and removing infected plants at one fixed
time. By analyzing the model, we conclude that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number Ro
1, and we prove that the HLB is permanence if the basic reproduction number Ro > 1.