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Wang, W. and Zhao, X.-Q. (2008) Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments. Journal of Dynamics and Differential Equations, 20, 699-717.
https://doi.org/10.1007/s10884-008-9111-8

has been cited by the following article:

• 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.