Mathematical Modeling of the Transmission Dynamics of Gumboro Disease

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dc.contributor.authorMusaili, J. S.
dc.contributor.authorChepkwony, I.
dc.contributor.authorMutuku, W. N.
dc.date.accessioned2024-05-29T09:05:14Z
dc.date.available2024-05-29T09:05:14Z
dc.date.issued2024-05
dc.descriptionArticleen_US
dc.description.abstractGumboro disease is a viral poultry disease that causes immune suppression on the infected birds leading to poor production, mortality, and exposure to secondary infections, hence a major threat in the poultry industry worldwide. A mathematical model of the transmission dynamics of Gumboro disease is developed in this paper having four compartments of chicken population and one compartment of Gumboro pathogen population. The basic reproduction number Rog is derived, and the dynamical behaviors of both the disease-free equilibrium (DFE) and endemic equilibrium are analyzed using the ordinary differential equation theory. From the analysis, we found that the system exhibits an asymptotic stable DFE whenever Rog < 1 and an asymptotic stable EE whenever Rog > 1. The numerical simulation to verify the theoretical results was carried out using MATLAB ode45 solver, and the results were found to be consistent with the theoretical findings.en_US
dc.identifier.citationMusaili, J. S., Chepkwony, I., & Mutuku, W. N. (2024). Mathematical Modeling of the Transmission Dynamics of Gumboro Disease. Journal of Applied Mathematics, 2024(1), 2514740.en_US
dc.identifier.urihttps://doi.org/10.1155/2024/2514740
dc.identifier.urihttps://ir-library.ku.ac.ke/handle/123456789/27918
dc.language.isoenen_US
dc.publisherHindawien_US
dc.subjectbasic reproduction numberen_US
dc.subjectGumboroen_US
dc.subjectmathematical modelen_US
dc.subjectstabilityen_US
dc.titleMathematical Modeling of the Transmission Dynamics of Gumboro Diseaseen_US
dc.typeArticleen_US
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