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Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations

Author

Listed:
  • Shujing Gao
  • Lei Luo
  • Shuixian Yan
  • Xinzhu Meng

Abstract

This paper studies a new model for Huanglongbing with seasonal fluctuations. Switching coefficients and switching control schemes are considered in this model. The main purpose of this paper is to study the effects of switching control schemes on dynamics of the model. Firstly, we theoretically investigate the basic reproductive number and its computation formulae for general impulsive switching model with periodic environment. Secondly, the basic reproductive number and global dynamics of the impulsive switching model for Huanglongbing are analyzed. Finally, numerical results indicate that spring and autumn are the optimum seasons for killing psyllids, and winter is the optimum season for removing infected trees.

Suggested Citation

  • Shujing Gao & Lei Luo & Shuixian Yan & Xinzhu Meng, 2018. "Dynamical Behavior of a Novel Impulsive Switching Model for HLB with Seasonal Fluctuations," Complexity, Hindawi, vol. 2018, pages 1-11, July.
    • Handle: RePEc:hin:complx:2953623
    DOI: 10.1155/2018/2953623
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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. Xu, Changjin & Alhejaili, Weaam & Saifullah, Sayed & Khan, Arshad & Khan, Javed & El-Shorbagy, M.A., 2022. "Analysis of Huanglongbing disease model with a novel fractional piecewise approach," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Liu, Jingna & Qi, Qi & Liu, Bing & Gao, Shujing, 2023. "Pest control switching models with instantaneous and non-instantaneous impulsive effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 926-938.

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