Modeling and analyzing the transmission dynamics of visceral leishmaniasis

Lan Zou, Jing Chen, Shigui Ruan

Research output: Contribution to journalArticle

7 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 languageEnglish (US)
Pages (from-to)1585-1604
Number of pages20
JournalMathematical Biosciences and Engineering
Volume14
Issue number5-6
DOIs
StatePublished - 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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