We used SEIR model proposed by Anderson and May
(1991) to model the spread of chickenpox. Ordinary
differential equations were used to formulate the model
equations. Al-Showaikh and Twizell (2006) extended
SEIR model to second order derivative for the
transmission dynamics of measles to enable the
geographic spread of the disease in a population which
has not been vaccinated. In many facets of usages,
differential equations’ applications are embarked on
extensively (Dontwi and Obeng-Denteh, 2011; Obeng-
Denteh, 2011; Obeng-Denteh et al., 2012; Dontwi et al.,
2013). Stability and sensitivity analysis are then
performed on the model equations and Matlab software
was used to draw simulation graphs.