Work

Mathematical Analysis for Honeybee Dynamics Under the Influence of Seasonality

Year: 2024

Type: article

Abstract: In this paper, we studied a mathematical model for honeybee population diseases under the influence of seasonal environments on the long-term dynamics of the disease. The model describes the dynamics of two different beehives sharing a common space. We computed the basic reproduction number of the system as the spectral radius of either the next generation matrix for the autonomous system or as the spectral radius of a linear integral operator for the non-autonomous system, and we deduced that if the reproduction number is less than unity, then the disease dies out in the honeybee population. However, if the basic reproduction number is greater than unity, then the disease persists. Finally, we provide several numerical tests that confirm the theoretical findings.

Source: Mathematics

DOI: 10.3390/math12223496

Authors: Miled El Hajji, Fahad Ahmed S. Alzahrani, Mohammed H. Alharbi

Institution: University of Jeddah

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: University of Jeddah