Mathematical Analysis of Eco-System Stability of Honeybee Colony Infected by Virus

S.A. Adebayo and Kinsley C.I.
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S.A. Adebayo: Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, PMB 4000, Ogbomoso, Nigeria
Kinsley C.I.: Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, PMB 4000, Ogbomoso, Nigeria

International Journal of Research and Innovation in Applied Science, 2022, vol. 7, issue 1, 87-97

Abstract: An eco-epidemiological model interaction between hive and forager honeybee with consideration of varroa mite diseases spread in the ecosystem is represented. The model is governed by a new five-dimensional nonlinear system of ordinary differential equations to investigate the dynamics of the honeybee colony. The well-posedness of the model is established concerning the positivity and boundedness of solutions. The basic reproduction number (R0) was also computed, and a sensitivity analysis was carried out on R0. The stability of the equilibrium points was determined using the Jacobian matrix with the Routh-Hurwitz criterion. Additionally, numerical simulations were performed to validate the result of the recovery class and analyzed the effect of social inhibition and disinfestation on an infected hive honeybee population in an eco-epidemiological model.

Date: 2022
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