Square-root models for the Volterra equations and the explicit solution of these models
Identifieur interne : 002610 ( Main/Exploration ); précédent : 002609; suivant : 002611Square-root models for the Volterra equations and the explicit solution of these models
Auteurs : M. Arrigoni ; A. Steiner [Suisse]Source :
- Acta Biotheoretica [ 0001-5342 ] ; 1983-06-01.
English descriptors
- Teeft :
- Competition equations, Differential equations, Dynamic population system, Explicit solution, Explicit solutions, Fluctuation, Initial values, Interaction terms, Intrinsic growth rates, Logistic growth, Nearer reality, Numerical example, Original equations, Original model, Phase trajectory, Population growth, Predator, Present issue, Prey species, Quadratic terms, Root model, Root term model, Root terms, Single species, Small fluctuations, Species interaction, Square roots, Trajectory.
Abstract
Abstract: Volterra's (1926) equations for competition and predator-prey interactions are modified by introduction of root terms. A critical comparison with the original equations shows that the dynamic properties of the systems remain essentially alike, while the modification allows for explicit solution of the differential equations. Detailed solutions and numerical examples are given.
Url:
DOI: 10.1007/BF02045064
Affiliations:
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Le document en format XML
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