The Effects of Variation of Contact Rates between the Environment, Susceptible and Infected Population in a Mathematical Model of the Transmission Dynamics of Infectious Bursal Disease

Abstract

We modeled a four-compartment model that explain the effects of variation of the contact rates between environment, susceptible and infected population in transmission dynamics of infectious bursal disease (IBD). We used Ordinary differential equations in formulating the model equations. Reproductive number has been derived using next generation Matrix. The disease-free equilibrium and endemic equilibrium stability are analyzed. MATLAB was used to carry out the numerical simulation. We found the higher that contact rate between the susceptible flock, infected population and the contaminated environment, the higher rate of transmission of the disease in the system