SEIR Model Simulation and Dynamical Behaviour for Rabies Transmission in Dog Populations

Abstract

Dogs are the primary source of human rabies deaths, contributing to up to 99% of all human
rabies transformations. The infection has caused tens of thousands of deaths every year all
around the world. This paper discussed rabies transformation in dog populations and how the
absence and presence of vaccination will transform the disease dynamics of rabies. Different
control mediums like vaccination, culling and birth rate of dog populations are considered to
reduce rabies transmission. By applying both the SEI and SEIR models, stability analysis for
disease-free and endemic equilibrium points is determined by means of Maple and MATLAB
software. The findings suggested that the spread of rabies can be reduced by increasing dog
vaccination, expanding dog culling within acceptable ranges, and reducing annual newborn
puppies simultaneously. In this regard, high vaccination rates must be implemented to control
and, in turn, eliminate rabies transmission.