IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v117y2018icp60-67.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918303527
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.10.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hussain, Takasar & Ozair, Muhammad & Aslam, Adnan & Jameel, Sajid & Nawaz, Maryum & Abdel-Aty, Abdel-Haleem, 2022. "Mathematical study of nematode transmission in pine trees through bark beetles," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Ali, Hegagi Mohamed & Ameen, Ismail Gad, 2020. "Save the pine forests of wilt disease using a fractional optimal control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    3. Alaa A. Alsaqer & Azhar Iqbal Kashif Butt & Muneerah Al Nuwairan, 2024. "Investigating the Dynamics of Bayoud Disease in Date Palm Trees and Optimal Control Analysis," Mathematics, MDPI, vol. 12(10), pages 1-25, May.
    4. L., Diego F. Aranda & González-Parra, Gilberto & Benincasa, Tommaso, 2019. "Mathematical modeling and numerical simulations of Zika in Colombia considering mutation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 163(C), pages 1-18.
    5. Yusuf, Abdullahi & Acay, Bahar & Mustapha, Umar Tasiu & Inc, Mustafa & Baleanu, Dumitru, 2021. "Mathematical modeling of pine wilt disease with Caputo fractional operator," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    6. Hossain, Mainul & Pal, Nikhil & Samanta, Sudip, 2020. "Impact of fear on an eco-epidemiological model," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    7. Alzahrani, E.O. & Khan, M.A., 2018. "Modeling the dynamics of Hepatitis E with optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 287-301.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:117:y:2018:i:c:p:60-67. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.