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Global dynamics of a stage-structured Huanglongbing model with time delay

Author

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  • Gao, Shujing
  • Yu, Dan
  • Meng, Xinzhu
  • Zhang, Fumin

Abstract

In this paper, we propose a stage-structured Huanglongbing transmission model with time delay. The basic reproductive number for Huanglongbing is calculated, and the threshold dynamics are analyzed. By using the method of fluctuations, a set of sufficient conditions for the global attractivity of the endemic equilibrium are given if disease-induced death is ignored and the control strategy of removing infected trees is not implemented. Numerical simulations are shown to illustrate our analytic results.

Suggested Citation

  • Gao, Shujing & Yu, Dan & Meng, Xinzhu & Zhang, Fumin, 2018. "Global dynamics of a stage-structured Huanglongbing model with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 60-67.
    • Handle: RePEc:eee:chsofr:v:117:y:2018:i:c:p:60-67
    DOI: 10.1016/j.chaos.2018.10.008
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    References listed on IDEAS

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    1. Cai, Li-Ming & Li, Xue-Zhi & Li, Zhaoqiang, 2013. "Dynamical behavior of an epidemic model for a vector-borne disease with direct transmission," Chaos, Solitons & Fractals, Elsevier, vol. 46(C), pages 54-64.
    2. Khan, Muhammad Altaf & Khan, Rizwan & Khan, Yasir & Islam, Saeed, 2018. "A mathematical analysis of Pine Wilt disease with variable population size and optimal control strategies," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 205-217.
    3. Jianping Wang & Shujing Gao & Yueli Luo & Dehui Xie, 2014. "Threshold Dynamics of a Huanglongbing Model with Logistic Growth in Periodic Environments," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, March.
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    Cited by:

    1. Li, Yi Xia & Alshehri, Maryam G. & Algehyne, Ebrahem A. & Ali, Aatif & Khan, Muhammad Altaf & Muhammad, Taseer & Islam, Saeed, 2021. "Fractional study of Huanglongbing model with singular and non- singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    2. Liu, Yujiang & Gao, Shujing & Liao, Zhenzhen & Chen, Di, 2022. "Dynamical behavior of a stage-structured Huanglongbing model with time delays and optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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