A simple parasite model with complicated dynamics
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- 作者：M. G. Roberts and J. A. P. Heesterbeek
- 关键词：Key words ; ; Deterministic epidemic models ; Helminths ; Dynamical systems
- 刊名：Journal of Mathematical Biology
- 出版年：1998
- 出版时间：September 1998
- 年：1998
- 卷：37
- 期：3
- 页码：272-290
- 全文大小：407 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematical Biology
Applications of Mathematics - 出版者：Springer Berlin / Heidelberg
- ISSN：1432-1416
文摘
During their first year of life sheep acquire parasites through grazing, and simultaneously build up an immunity to infection. At the beginning of each year non-immune lambs are introduced onto contaminated pasture. We represent this process by differential equations describing the within-year dynamics, and defining a difference equation that describes the between-year dynamics. An example with two system parameters is analysed in detail. It is shown that regions exist in parameter space where periodic (between-year) or aperiodic solutions occur. Parasite control schemes could change the system dynamics from a stable equilibrium to complicated long-term fluctuations.