Abstract

A system of homogeneous equations with a time delay is used to model the population dynamics of schistosomes. The model includes the parasite's mating structure, multiple resistant schistosome strains, and biological complexity associated with the parasite's life cycle. Invasion criteria of resistant strains and coexistence threshold conditions are derived. These results are used to explore the impact of drug treatment on resistant strain survival. Numerical simulations indicate that the dynamical behaviors of the current model are not qualitatively different from those derived from an earlier model that ignores the impact of time delays associated with the multiple stages in parasite's life cycle. However, quantitatively the time delays make it more likely for drug-resistant strains to invade in a parasite population.

Original languageEnglish (US)
Pages (from-to)333-341
Number of pages9
JournalMathematical Biosciences
Volume211
Issue number2
DOIs
StatePublished - Feb 2008

Fingerprint

schistosomiasis
Schistosomiasis
Time Delay
Time delay
parasite
Parasites
parasites
Schistosoma
Life Cycle Stages
Life Cycle
Life cycle
life cycle (organisms)
Drugs
drug
life cycle
Drug therapy
Population dynamics
Invasion
Population Dynamics
Dynamical Behavior

Keywords

  • Drug resistance
  • Homogeneous equations
  • Multiple strains
  • Schistosome mating structure
  • Time delay

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

A schistosomiasis model with mating structure and time delay. / Castillo-Chavez, Carlos; Feng, Zhilan; Xu, Dashun.

In: Mathematical Biosciences, Vol. 211, No. 2, 02.2008, p. 333-341.

Research output: Contribution to journalArticle

Castillo-Chavez, Carlos ; Feng, Zhilan ; Xu, Dashun. / A schistosomiasis model with mating structure and time delay. In: Mathematical Biosciences. 2008 ; Vol. 211, No. 2. pp. 333-341.
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