Formulation of a Mathematical Model for the Transmission Dynamics of Infectious Bursal Disease (IBD), Incorporating Eects of Environmental Factors

Main Article Content

Emily Atieno Omollo
George Kimathi

Abstract

In this paper, we develop a four compartment model that explain the transmission dynamics of infectious bursal disease, considering the effects of environmental factors. Ordinary differential equations have been used in formulation of the model. Reproductive number (R0) has been derived using Next Generation Matrix. The disease free equilibrium is analyzed using Jacobian matrix and found to be locally and globally asymptotically stable when R0 < 1. We employ Routh-Hurwitz stability criterion to analyze the stability of endemic equilibrium. The numerical results indicates that contact with contaminated environment enhances the rate of transmission of the disease in the system.

Keywords:
Infectious bursal disease, reproductive number, environmental contact rate, disease free equilibrium, endemic equilibrium.

Article Details

How to Cite
Omollo, E. A., & Kimathi, G. (2020). Formulation of a Mathematical Model for the Transmission Dynamics of Infectious Bursal Disease (IBD), Incorporating Eects of Environmental Factors. Asian Research Journal of Mathematics, 16(9), 20-35. https://doi.org/10.9734/arjom/2020/v16i930217
Section
Original Research Article

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