Formulation of a Mathematical Model for the Transmission Dynamics of Infectious Bursal Disease (IBD), Incorporating Eects of Environmental Factors
Emily Atieno Omollo, George Kimathi
Asian Research Journal of Mathematics · pp. 20–35 · Published 21 Aug 2020
10.9734/arjom/2020/v16i930217Abstract
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.
Cited by 4
T. Tolasa, Aychew Wondyfraw Tesfaye, Tesfaye Sama Satana · Abstract and Applied Analysis · 2026
J. Musaili, I. Chepkwony, W. N. Mutuku · Journal of Applied Mathematics · 2024
Showing 2 of 4 known citations — external sources report more than can currently be individually listed.
Related research
- Mathematical Model of Drinking Epidemic — shares topic coverage
- Dynamics of a Reaction Diusion Brucellosis Model — shares topic coverage
- Influence of Xylopia aethiopica and Tetrapleura tetraptera Supplemented Feed on the Production and Quality of Layer Chicken Eggs in Response to Suspected Gumboro Disease — shares topic coverage
- Gross and Histopathological Changes in Chickens Infected with Infectious Bursal Disease Virus (IBDV) in a Farm in Vom, Plateau State, Nigeria — shares topic coverage
- Isolation, Identification and Characterization of a Unique Infectious Bursal Disease Variant Virus from a Layer Farm Having Recurrent Vaccine Failure — shares topic coverage
Article metrics
Real usage data collected on this platform.
15
Page views
0
PDF downloads
0
Outbound clicks
4
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.