A simple parasite model with complicated dynamics.

M G Roberts; J A Heesterbeek

doi:10.1007/s002850050129

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A simple parasite model with complicated dynamics.

M G Roberts·J A Heesterbeek

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Abstract

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.

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Animals Animals, Domestic Antibody Formation Host-Parasite Interactions Intestinal Diseases, Parasitic Models, Biological Nematoda Nematode Infections Numerical Analysis, Computer-Assisted Sheep Sheep Diseases Time Factors Journal Article Research Support, Non-U.S. Gov't

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M G Roberts, J A Heesterbeek. 1998. A simple parasite model with complicated dynamics.. https://doi.org/10.1007/s002850050129

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