Cholera invasion speed and the intervention strength

---

Résumé

We formulate a mathematical model which captures the essential dynamics of cholera infection transmission. Control interventions such as vaccination program and environmental sanitation service are incorporated to analyse the impact of both interventions on the infection dynamics. The qualitative and numerical analyses of the model are carried out. Through these analyses, a great attention is brought to certain uncommonly used infection features such as invasion speed of an infection which historically has been ignored by infectious disease modellers. The analyses of these key model parameters not only reveal the required intervention strength needed to curb the infection spread but also indicate which either control intervention should be prioritised. The numerical results approve the qualitative f indings and promise an infection free population, should the control intervention speed be greater than the invasion speed of the infection.

Mots-clés

Vaccination rate, Sanitation rate, Graph theoretical method, Invasion speed, Intervention strength