Malaria Models with Spatial Effects

Daozhou Gao, Shigui Ruan

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

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

Fingerprint

Malaria
Culicidae
Direction compound

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

Malaria Models with Spatial Effects. / Gao, Daozhou; Ruan, Shigui.

Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases. Wiley Blackwell, 2015. p. 109-136.

Research output: Chapter in Book/Report/Conference proceedingChapter

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