Schistosomiasis models with two migrating human groups

Z. Feng, C. C. Li, Fabio Milner

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We propose, in this paper, models of schistosomiasis that incorporate several realistic features including two human habitats, migration between these, negative binomial distribution of schistosomes within human hosts, disease-induced mortality in both human and snail hosts, and others. The qualitative and quantitative mathematical properties are analyzed. Numerical simulations help examine the dynamics and suggest some properties of these models that we were unable to prove mathematically. Partial results are extended to models with multiple human groups, and numerical simulations also support the results. Explicit thresholds for the survival of schistosomes are established. Control strategies derived from these thresholds are also discussed.

Original languageEnglish (US)
Pages (from-to)1213-1230
Number of pages18
JournalMathematical and Computer Modelling
Volume41
Issue number11-12
DOIs
StatePublished - May 2005
Externally publishedYes

Fingerprint

Computer simulation
Numerical Simulation
Negative binomial distribution
Mortality
Model
Migration
Control Strategy
Partial
Human
Schistosomiasis
Numerical simulation
Negative binomial
Control strategy
Habitat

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation
  • Computer Science (miscellaneous)

Cite this

Schistosomiasis models with two migrating human groups. / Feng, Z.; Li, C. C.; Milner, Fabio.

In: Mathematical and Computer Modelling, Vol. 41, No. 11-12, 05.2005, p. 1213-1230.

Research output: Contribution to journalArticle

Feng, Z. ; Li, C. C. ; Milner, Fabio. / Schistosomiasis models with two migrating human groups. In: Mathematical and Computer Modelling. 2005 ; Vol. 41, No. 11-12. pp. 1213-1230.
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