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A Mathematical Model to Study the Infection of Ebola
Nurul Atiqah Binti Mohd Razali
Dr. Chong Nyuk Sian
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
Mathematical model is frequently used in the study of infectious disease especially to
examine the spreading dynamics of an infectious disease. In this project, we apply an
SEIR (Susceptible-Exposed-Infection-Recovered) model that is proposed by [1] in the
study of Ebola Virus Disease. The stability of the disease free and endemic equilibria of
this model is analyzed. The analytical results show that the disease-free equilibrium of
the model is locally asymptotically stable if the basic reproduction number is less than
one, whereas the endemic equilibrium is locally asymptotically stable if the basic
reproduction number is greater than one. Moreover, the positively invariant and attracting
region of the model is identified and we discover that the solution of the model is
bounded. In addition, we illustrate some numerical results that depict the dynamics of
this model and we find that our theoretical and numerical results are agreed well.
876 | UMT UNDERGRADUATE RESEARCH DAY 2018