Work

Analysis of the Influence of Brood Deaths on Honeybee Population

Year: 2024

Type: article

Abstract: Many mathematical models using ordinary differential equations (ODEs) have been used to investigate what type of stressors cause honeybee colonies collapse. We propose a simple model of a delayed differential equation system (DDE) to describe the effect of insecticides over brood death rate and its influence over honeybee population dynamics. First, we remember some basic facts for the model with no delay. To analyze our model, we study the equilibria and perform stability and sensitivity analysis of the DDE system. Next, by using the delay time τ as a bifurcation parameter, we find that no Hopf bifurcation could arise as the time lag τ varies within biologically plausible ranges. Numerical simulations with real data are studied for the biological significance of the model.

Source: Applied Sciences

DOI: 10.3390/app142311412

Authors: Atanas Z. Atanasov, Slavi G. Georgiev, Lubin G. Vulkov

Institutions: Angel Kanchev University of Ruse, Bulgarian Academy of Sciences, Institute of Mathematics and Informatics

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: $2,728

Funder: Bulgarian National Science Fund