Dynamics of an age-structured two-strain model for malaria transmission

Farinaz Forouzannia, Abba Gumel

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A new age-structured deterministic model for assessing the impact of anti-malaria drugs on the transmission dynamics of malaria is designed and qualitatively analysed. The resulting two-strain age-structured model undergoes backward bifurcation, which arises due to malaria-induced mortality in humans. Conditions for the existence of unique resistant strain-only and low-endemicity equilibria are derived for special cases. It is shown, for the case when treatment does not cause drug resistance, that the disease-free equilibrium of the wild strain-only component of the model is globally-asymptotically stable whenever the associated reproduction number of the model is less than unity. Similar result is established for the resistant strain-only component of the model for this case. Numerical simulations of the model, for the case when treatment does not cause drug resistance, show that the model undergoes competitive exclusion (where the malaria strain with the higher reproduction number drives the other to extinction).

Original languageEnglish (US)
Pages (from-to)860-886
Number of pages27
JournalApplied Mathematics and Computation
Volume250
DOIs
StatePublished - Jan 1 2015

Fingerprint

Malaria
Age-structured Model
Reproduction number
Drug Resistance
Competitive Exclusion
Backward Bifurcation
Model
Globally Asymptotically Stable
Deterministic Model
Mortality
Extinction
Drugs
Numerical Simulation
Computer simulation

Keywords

  • Malaria
  • Reproduction number
  • Stability
  • Strains

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

Dynamics of an age-structured two-strain model for malaria transmission. / Forouzannia, Farinaz; Gumel, Abba.

In: Applied Mathematics and Computation, Vol. 250, 01.01.2015, p. 860-886.

Research output: Contribution to journalArticle

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