Abstract:
Pneumonia has claimed and continues to claim the lives of millions of people worldwide.
Also, its effect on countrys and households cannot be ignored since most of the people that
get infected and/or die from the diseases are usually future generation childrens. The impact
of Pneumonia worsened in the presence of opportunistic infections like Typhoid fever.
Thus, firms need to get involved in the fight against Pneumonia and its co-infection with
these opportunistic infections. This thesis presents three detailed deterministic mathematical
models that are aimed at describing the dynamics of Pneumonia and its co-infection with
Typhoid fever. The first model is a general one that describes the dynamics of Pneumonia.
The model is qualitatively analyzed to determine conditions for successful campaign against
Pneumonia. Numerical simulations are also carried out and various combinations of interventions
strategies are compared to determine the most cost-effective strategy that should be
employed for the campaign against the disease. It is observed that the strategy that adopts
prevention and treatment is most cost-effective in the fight against the spread of the disease.
The second model considers dynamics of the Typhoid fever. This model is qualitatively analyzed
to determine conditions for eradication of the disease. Numerical simulations and
comparison of various intervention schemes revealed that the most cost-effective scheme
that should be adopted for a successful campaign against the disease is one that implements
prevention and treatment strategies. The third model considers the dynamics of co-infection
of Pneumonia and Typhoid fever diseases The model is also qualitatively analyzed and numerically
simulated. It is revealed that a successful campaign against the co-infection of the
two diseases will have to include preventative measure for Typhoid fever and treatment for
Pneumonia.
