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An SEIR Model to Study the Infection of Rabies Diseases
Nurshahira Binti Mohd Rani
Supervisor: Dr. Chong Nyuk Sian
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
Rabies is one of the most dreadful infectious diseases that could be transmitted from
animals to humans through saliva of the infected animals. In this project, we consider a
mathematical model to examine the transmission dynamics of rabies virus among dogs
and from dog to human populations. This model will assist in predicting the spread of
rabies in both human and dog populations. The basic reproduction number of the system
is derived using the next generation matrix approach. The existence of disease free and
endemic equilibria is studied and its stability is analyzed. The disease-free equilibrium is
locally stable whenever the basic reproduction number R 0 < 1. Otherwise, the endemic
equilibrium achieves local stability. Moreover, numerical simulations are performed to
depict the dynamics of disease transmission. We find that by increasing the immunization
rate and decreasing the annual dog birth rate, there is a possibility that rabies will die off.
872 | UMT UNDERGRADUATE RESEARCH DAY 2018