MATLAB code to simulate the effects of combination of control strategies on the transmission of diphtheria

This research introduced an extensive mathematical model to capture the
dynamics of diphtheria transmission. The study examined the interaction of
five control measures viz: routine diphtheria vaccination, often
administered with tetanus and pertussis vaccines; interventions for
symptomatic to isolated treatment transitions; collaborative efforts
addressing asymptomatic to home quarantine transitions; surveillance
measures for home quarantine to isolated treatment transitions; and
vigilance to detect cases in individuals exposed to symptomatic cases. We
established the epidemiological viability of the model by proving, among
others, its positivity, equilibrium under endemic conditions, equilibrium
in the absence of disease, global and local stability and boundedness.
Also the sensitivity analysis of the model highlighted the importance of
the important variables in influencing disease occurrence and spread. In
addition, the control measures significantly impact virus transmission
dynamics, and results from simulations demonstrated that combination of
these control strategies effectively flattened the curve of diphtheria
transmission. These findings provided healthcare professionals and
policymakers with valuable insights into crucial measures for eradicating
diphtheria from the population.