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Stability and Sensitivity Analyses of Pneumonia
Dynamics in Children under Five
Chow Yee Voon
Supervisor: Dr. Ummu ‘Atiqah Binti Mohd Roslan
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
Pneumonia is the leading cause of death for children under five which results in the
growing numbers of mortality rate to arise every year. The SVCIR (Susceptible-
Vaccinated-Carrier-Infected-Recovered) pneumonia dynamics mathematical model is
studied. The objectives in this study are to prove the positivity and boundedness solutions
of the model, to analyze the stability of the equilibrium points of the model and to
investigate the most influential parameter of the pneumonia model. The positivity and
boundedness solutions are proven. Next, stability analysis has been carried out by using
Jacobian matrix to determine the stability of the disease free equilibrium (DFE) and
endemic equilibrium (EE) points. The results showed that both DFE and EE are locally
asymptotically stable. The sensitivity analysis showed that the contact rate between
individual has been identified as a significant parameter. Therefore by controlling this
parameter it can help to reduce the mortality rate in future.
800 | UMT UNDERGRADUATE RESEARCH DAY 2018