A SIS model for Cutaneous Leishmaniasis is developed and analyzed. The model contains a human population of incidental hosts, along with animals that are the reservoir hosts and the sandfly vector. Reproductive rates for the persistence of the infection are derived from the model. Conditions for the existence of endemic and disease-free equilibrium are obtained. The stability analysis of the disease-free equilibrium is investigated and numerical simulations for the model are provided.
Library of Congress Subject Headings
Leishmaniasis, Cutaneous--Mathematical models
Department, Program, or Center
School of Mathematical Sciences (COS)
Bathena, Karthik, "A Mathematical model of cutaneous leishmaniasis" (2009). Thesis. Rochester Institute of Technology. Accessed from
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