Abstract:
The study investigates the effectiveness of
vaccination to keep meningitis in check, especially in
conditions of high treatment saturation and limited
resources. The numerical solution of this model is
obtained through the homotopy perturbation
method. In this work, we examine how vaccination
and treatment are interrelated, but above all, with
the basic reproduction number R₀, an important
tool that identifies the size of the spread of
meningitis. The study performs analyses of local and
global stability for disease-free and endemic
equilibrium points, providing insight into when and
how meningitis can be eradicated or persist within a
population. Furthermore, sensitivity analysis
provides further light on which parameters have
more influence on the disease transmission, thus
providing an understanding of what factors would
most ensure the control measures are successfully
executed. In this paper, we have incorporated
vaccination and treatment strategies into the model
in order to assess the combined effect of the two
methods in reducing the spread of meningitis and
the best approaches towards disease control. In this
dynamics, we apply the homotopy perturbation
method for a comprehensive view of how
vaccination and treatment can mitigate the burden
of meningitis. These findings realize key lessons for
the improvement of meningitis control strategies,
particularly in remote settings, and hence contribute
to the wider debate on infectious disease control.
This in turn shows a way toward better control by
demonstrating how a vaccination and treatment
strategy that is strategically balanced can reduce the
overall burden of the disease over time.
