International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Impact of Infection on Honeybee Population Dynamics in a Seasonal Environment

  • Miled El Hajji*
  • Fahad Ahmed Saad Alzahrani
  • Ridha Mdimagh

    * Corresponding author

    Abstract

    We studied a non-autonomous model for the spread of disease within a bee colony under the influence of seasonality where we consider time-dependent parameters to integrate the impact of the periodicity of weather on the Honeybee population dynamics. We proved that the system admits a unique bounded positive solution, and also a global attractor set. The basic reproduction number, R0, was defined as the spectral radius of a linear integral operator. We proved that the global dynamics is determined by this threshold parameter: If R0≤1, then the disease-free periodic solution is globally asymptotically stable, while if R0>1, then the disease persists. We confirmed the theoretical results trough an extensive numerical simulations.

    How to Cite

    M. El Hajji, F. A. S. Alzahrani, R. Mdimagh, Impact of Infection on Honeybee Population Dynamics in a Seasonal Environment, Int. J. Anal. Appl. 22 (2024), 75. https://doi.org/10.28924/2291-8639-22-2024-75

    BibTeX
    @article{Hajji2024,
  author  = {El Hajji, Miled and Alzahrani, Fahad Ahmed Saad and Mdimagh, Ridha},
  title   = {Impact of Infection on Honeybee Population Dynamics in a Seasonal Environment},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {75},
  doi     = {10.28924/2291-8639-22-2024-75}
}

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