Effects of Social Media in Controlling Tungiasis: Mathematical Model
Calvet Night
Maseno University, Box 333-40103,Maseno Kenya.
David Ambogo
Maseno University, Box 333-40103,Maseno Kenya.
Daniel Achola *
Kabarak University, Private Bag-20157, Nakuru Kenya.
*Author to whom correspondence should be addressed.
Abstract
In this paper, a deterministic model incorporating social media in controlling tungiasis disease is considered. The model is shown to be positively invariant as well as bounded. We showed that the model has two equilibria points: disease free and endemic equilibria points. In both cases, the steady states are locally asymptotically stable provided the basic reproduction number is less than unity.
Keywords: Basic reproduction number, local stability, mathematical modeling