Analysis of Varroosis Model in Honeybee Colony with Interventions

Authors

  • Ahmed Umar
    Department of Mathematics, Modibbo Adama University, P.M.B 2076, Yola, Nigeria
  • Samuel Musa
    Department of Mathematics, Modibbo Adama University, P.M.B 2076, Yola, Nigeria
  • Andrew Apeh Agada
    Department of Mathematics, Skyline University Nigeria, Kano, Nigeria

Keywords:

Bifurcation, Global stability, Sensitivity analysis and Honeybee colony

Abstract

A deterministic mathematical model is proposed and analyzed to study the transmission dynamics of Varroosis in honeybee colony with interventions. The study combined both treatment and biocontrol strategy on curbing the menace of Varroosis on honeybee colony. As such, the study established the existence of the most important four steady states that include: disease-free and infestation-free, infestation with virus-free Varroa-mites, infestation with virus-carrying Varroa-mites and endemic steady state. Moreover, the study established the existence of backward bifurcation and sensitivity analysis of the model was performed. Correspondingly, the analysis of the model reveals that, ineffective treatment can induce backward bifurcation. Furthermore, the study results indicated that, when treatment is 100% effective, the disease-free and infestation-free steady state is globally asymptotically stable for R0 < 1, whereas for R0 > 1the global stability of the endemic steady state is proved only on a special case.

Dimensions

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Published

2023-07-09

How to Cite

Analysis of Varroosis Model in Honeybee Colony with Interventions. (2023). African Scientific Reports, 2(2), 98. https://doi.org/10.46481/asr.2023.2.2.98

Issue

Volume 2, Issue 2, August 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 Ahmed Umar, Samuel Musa, Andrew Apeh Agada

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Analysis of Varroosis Model in Honeybee Colony with Interventions. (2023). African Scientific Reports, 2(2), 98. https://doi.org/10.46481/asr.2023.2.2.98

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