Mathematical analysis to control the spread of Ebola virus epidemic through voluntary vaccination

The expected number of secondary cases produced by a typical infected individual during its entire period of infectiousness in a completely susceptible population is mathematically defined as the dominant eigenvalue of a positive linear operator. It is shown that in certain special cases one can easily compute or estimate this eigenvalue. Several examples involving various structuring variables like age, sexual disposition and activity are presented.

Magnetohydrodynamic (MHD) stagnation point flow of Casson fluid towards a stretching sheet is addressed. Homogeneous-heterogeneous reactions together with homogeneous heat effect subject to a resistive force of electromagnetic origin is discussed. It is assumed that the homogeneous process in the ambient fluid is governed by first order kinetics and the heterogeneous process on the wall surface is given by isothermal cubic autocatalator kinetics. Ordinary differential systems have been considered. Solutions of the problems are presented via a numerical technique namely built in shooting method. Graphical behaviors of velocity, temperature and concentration are analyzed comprehensively. Velocity is noticed a decreasing function of Hartman number.