Abstract
In this work, the numerical study of a deterministic mathematical model of an SEIVR (Susceptible-Exposed- Infected-Vaccinated-Recovered) epidemic model among infants was carried out. This model incorporates a temporary immune recovery class which involves subsequent dose vaccination for the infants. Hypothetical values were chosen for the parameters to test the validity of the mathematical model. The parameter with the greatest impact on the model was computed using the eigenvalue elasticity and sensitivity analyses and it was found that the parameter of the rate at which the vaccine wanes in the infants (ω) has the greatest impact on the mathematical model.
Highlights
Many infectious diseases among infants do transmit either through horizontal or vertical modes [1]
For many infectious diseases, the immunity which is acquired either by preventive vaccine or by natural immunity may wane with time which may lead to subsequent dose vaccination strategy and at determining changes in qualitative behavior that could result from such a control measure [4]
It is intended to determine the parameter that has the greatest impact on the formulated mathematical model which incorporates the temporary immune recovered infant class into the model
Summary
Many infectious diseases among infants do transmit either through horizontal or vertical modes [1]. It is intended to determine the parameter that has the greatest impact on the formulated mathematical model which incorporates the temporary immune recovered infant class into the model. With this mathematical model, it will enable the public health workers to take into consideration on how to reduce the spread of the infectious diseases among the infants by encouraging and enlightening the parents to allow their children to be given the vaccine regularly and subsequently
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