Modeling and analyzing the transmission dynamics of visceral leishmaniasis

Lan Zou; Jing Chen; Shigui Ruan

doi:10.3934/mbe.2017082

Modeling and analyzing the transmission dynamics of visceral leishmaniasis

Lan Zou, Jing Chen, Shigui Ruan

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandies 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-sandy 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.

Original language	English (US)
Pages (from-to)	1585-1604
Number of pages	20
Journal	Mathematical Biosciences and Engineering
Volume	14
Issue number	5-6
DOIs	https://doi.org/10.3934/mbe.2017082
State	Published - Oct 1 2017

Keywords

Basic reproduction number
Mathematical modeling
Reservoir
Vertical transmission
Visceral leishmaniasis

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences(all)
Computational Mathematics
Applied Mathematics

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title = "Modeling and analyzing the transmission dynamics of visceral leishmaniasis",

abstract = "In this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandies 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-sandy 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.",

keywords = "Basic reproduction number, Mathematical modeling, Reservoir, Vertical transmission, Visceral leishmaniasis",

author = "Lan Zou and Jing Chen and Shigui Ruan",

note = "Funding Information: Research of the first author was supported by National Natural Science Foundation of China (No. 11201321) and research of the third author was supported by NSF grant DMS-1412454.",

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AU - Chen, Jing

AU - Ruan, Shigui

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AB - In this paper, we develop a mathematical model to study the transmission dynamics of visceral leishmaniasis. Three populations: dogs, sandies 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-sandy 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.

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