Mathematical study of the role of gametocytes and an imperfect vaccine on malaria transmission dynamics

Miranda I. Teboh-Ewungkem, Chandra N. Podder, Abba Gumel

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

A mathematical model is developed to assess the role of gametocytes (the infectious sexual stage of the malaria parasite) in malaria transmission dynamics in a community. The model is rigorously analysed to gain insights into its dynamical features. It is shown that, in the absence of disease-induced mortality, the model has a globally-asymptotically stable disease-free equilibrium whenever a certain epidemiological threshold, known as the basic reproduction number (denoted by R0), is less than unity. Further, it has a unique endemic equilibrium if R0 > 1. The model is extended to incorporate an imperfect vaccine with some assumed therapeutic characteristics. Theoretical analyses of the model with vaccination show that an imperfect malaria vaccine could have negative or positive impact (in reducing disease burden) depending on whether or not a certain threshold (denoted by ∇) is less than unity. Numerical simulations of the vaccination model show that such an imperfect anti-malaria vaccine (with a modest efficacy and coverage rate) can lead to effective disease control if the reproduction threshold (denoted by Rvac) of the disease is reasonably small. On the other hand, the disease cannot be effectively controlled using such a vaccine if Rvac is high. Finally, it is shown that the average number of days spent in the class of infectious individuals with higher level of gametocyte is critically important to the malaria burden in the community.

Original languageEnglish (US)
Pages (from-to)63-93
Number of pages31
JournalBulletin of Mathematical Biology
Volume72
Issue number1
DOIs
StatePublished - Jan 2010
Externally publishedYes

Fingerprint

Malaria Vaccines
gametocytes
Malaria
Vaccines
Vaccine
malaria
vaccine
Imperfect
vaccines
Vaccination
vaccination
Disease control
teleomorphs
Theoretical Models
Basic Reproduction Number
burden of disease
Basic Reproduction number
Model
Endemic Equilibrium
disease control

Keywords

  • Equilibria
  • Gametocyte
  • Malaria
  • Stability
  • Vaccine

ASJC Scopus subject areas

  • Neuroscience(all)
  • Computational Theory and Mathematics
  • Mathematics(all)
  • Pharmacology
  • Immunology
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Environmental Science(all)

Cite this

Mathematical study of the role of gametocytes and an imperfect vaccine on malaria transmission dynamics. / Teboh-Ewungkem, Miranda I.; Podder, Chandra N.; Gumel, Abba.

In: Bulletin of Mathematical Biology, Vol. 72, No. 1, 01.2010, p. 63-93.

Research output: Contribution to journalArticle

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