Mathematical Modelling of Infectiuos Desease-Basic SVIR model

Mathematical models of epidemics have a long history of contributing to the understanding of the

impact of vaccination programs. Simple, one-line models can predict target vaccination coverage that

will eradicate an infectious agent, whilst other questions require complex simulations of stochastic

processes in space and time. This project introduces a simple ordinary differential equation (ODE)

model of mass vaccination that can be used to address important questions about the predicted

impact of vaccination programs. The model discussed is the SVIR model where we show how to

calculate the threshold vaccination coverage rate that will eradicate an infection. The impact of

vaccination is also introduced.