Impact of Infection on Honeybee Population Dynamics in a Seasonal Environment

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DOI: https://doi.org/10.28924/2291-8639-22-2024-75
Published: May 6, 2024
Cite as:
Miled El Hajji, Fahad Ahmed Saad Alzahrani, Ridha Mdimagh, Impact of Infection on Honeybee Population Dynamics in a Seasonal Environment, Int. J. Anal. Appl., 22 (2024), 75.

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Miled El Hajji, Fahad Ahmed Saad Alzahrani, Ridha Mdimagh

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.

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