Mathematical Modeling of the Transmission Dynamics of Gumboro Disease

IF 1.2 Q2 MATHEMATICS, APPLIED
J. S. Musaili, I. Chepkwony, W. N. Mutuku
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引用次数: 0

Abstract

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.
甘博罗病传播动态的数学建模
Gumboro 病是一种病毒性家禽疾病,会对受感染的禽类造成免疫抑制,导致生产不良、死亡和二次感染,因此是全球家禽业的一大威胁。本文建立了一个关于 Gumboro 病传播动态的数学模型,其中包含四个鸡群区块和一个 Gumboro 病原体区块。推导了基本繁殖数 Rog,并利用常微分方程理论分析了无病平衡(DFE)和流行平衡的动力学行为。分析发现,当 Rog1 时,系统表现出渐近稳定的无病平衡。为了验证理论结果,我们使用 MATLAB ode45 求解器进行了数值模拟,结果与理论结论一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Applied Mathematics
Journal of Applied Mathematics MATHEMATICS, APPLIED-
CiteScore
2.70
自引率
0.00%
发文量
58
审稿时长
3.2 months
期刊介绍: Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.
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