Abstract

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

Publication Date

6-1-2009

Document Type

Thesis

Department, Program, or Center

School of Mathematical Sciences (COS)

Advisor

Agyingi, Ephraim

Comments

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: RA644.L25 B38 2009

Campus

RIT – Main Campus

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