Malaria Models with Spatial Effects

Daozhou Gao, Shigui Ruan

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Scopus citations

Abstract

In this chapter, we provide a brief review about some recent studies on mathematical modeling of malaria transmission in spatially heterogeneous environments. Deterministic models described by ordinary differential equations and reaction-diffusion equations are used to investigate the spatial spread of malaria between humans and mosquitoes. Selected topics include the importance of modeling spatial heterogeneity, basic models with infective immigrants, multi-patch models, and reaction-diffusion models. The chapter ends with a brief discussion about possible future research directions.

Original languageEnglish (US)
Title of host publicationAnalyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases
PublisherWiley Blackwell
Pages109-136
Number of pages28
ISBN (Electronic)9781118630013
ISBN (Print)9781118629932
DOIs
StatePublished - Jan 30 2015

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Keywords

  • Human movement
  • Malaria model
  • Patch
  • Reaction-diffusion
  • Ross-Macdonald
  • Spatial heterogeneity

ASJC Scopus subject areas

  • Medicine(all)

Cite this

Gao, D., & Ruan, S. (2015). Malaria Models with Spatial Effects. In Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases (pp. 109-136). Wiley Blackwell. https://doi.org/10.1002/9781118630013.ch6