A first-order difference equation which constitutes a simple model for a lethal parasite-host interaction is studied. Completing a study initiated by May and Anderson, the dynamics are shown to be completely chaotic.
Chaos in a simple identification/counter model
β Scribed by Denis Blackmore
- Book ID
- 103090504
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 638 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
The development of C'I models is of importance in investigating decision theory as applied to tactical and logistic problems. A recent model due to Meyer can be viewed as a discrete dynamical system in a four-dimensional euclidean space. In this paper, a twodimensional discrete dynamical system is analyzed retaining several basic features of Meyer's model using the tools of nonlinear dynamics in general, and chaos theory in particular. Such fkutures as attractors and repellers are identc$ed and certain values of the parameters which admit chaotic re,qimes including strange attractors or repellers are determined. A substanial dynamic characterization qf a discrete system of dimension greater than one is achieved. I.
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