Mathematical Modeling of the Transmission Dynamics of Gumboro Disease
Gumboro 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...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/2514740 |
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| author | J. S. Musaili I. Chepkwony W. N. Mutuku |
| author_facet | J. S. Musaili I. Chepkwony W. N. Mutuku |
| author_sort | J. S. Musaili |
| collection | DOAJ |
| description | Gumboro 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. |
| format | Article |
| id | doaj-art-162d0f81e06d477d9a648c78735dbdee |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-162d0f81e06d477d9a648c78735dbdee2025-02-03T11:37:23ZengWileyJournal of Applied Mathematics1687-00422024-01-01202410.1155/2024/2514740Mathematical Modeling of the Transmission Dynamics of Gumboro DiseaseJ. S. Musaili0I. Chepkwony1W. N. Mutuku2Department of MathematicsDepartment of MathematicsDepartment of MathematicsGumboro 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.http://dx.doi.org/10.1155/2024/2514740 |
| spellingShingle | J. S. Musaili I. Chepkwony W. N. Mutuku Mathematical Modeling of the Transmission Dynamics of Gumboro Disease Journal of Applied Mathematics |
| title | Mathematical Modeling of the Transmission Dynamics of Gumboro Disease |
| title_full | Mathematical Modeling of the Transmission Dynamics of Gumboro Disease |
| title_fullStr | Mathematical Modeling of the Transmission Dynamics of Gumboro Disease |
| title_full_unstemmed | Mathematical Modeling of the Transmission Dynamics of Gumboro Disease |
| title_short | Mathematical Modeling of the Transmission Dynamics of Gumboro Disease |
| title_sort | mathematical modeling of the transmission dynamics of gumboro disease |
| url | http://dx.doi.org/10.1155/2024/2514740 |
| work_keys_str_mv | AT jsmusaili mathematicalmodelingofthetransmissiondynamicsofgumborodisease AT ichepkwony mathematicalmodelingofthetransmissiondynamicsofgumborodisease AT wnmutuku mathematicalmodelingofthetransmissiondynamicsofgumborodisease |