Mathematics Faculty Articles

Title

Modeling and Analyzing the Transmission Dynamics of Visceral Leishmaniasis

Document Type

Article

Publication Date

10-2017

Publication Title

Mathematical Biosciences and Engineering

Keywords

Visceral leishmaniasis, Mathematical modeling, Reservoir, Vertical transmission, Basic reproduction number

ISSN

1547-1063

Volume

14

Issue/No.

5 & 6

First Page

1585

Last Page

1604

Abstract

In this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandflies and humans, are considered in the model. Based on recent studies, we include vertical transmission of dogs in the spread of the disease. We also investigate the impact of asymptomatic humans and dogs as secondary reservoirs of the parasites. The basic reproduction number and sensitivity analysis show that the control of dog-sandfly transmission is more important for the elimination of the disease. Vaccination of susceptible dogs, treatment of infective dogs, as well as control of vertical transmission in dogs are effective prevention and control measures for visceral leishmaniasis.

DOI

10.3934/mbe.2017082

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