Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

On stability and periodicity in phosphorus nutrient dynamics


Author: E. M. Arnold
Journal: Quart. Appl. Math. 38 (1980), 139-141
MSC: Primary 92A15; Secondary 58F10
DOI: https://doi.org/10.1090/qam/575838
MathSciNet review: 575838
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Abstract: The stability of an equilibrium and the existence of limit cycles in a three-dimensional dynamical system arising in predator-prey-nutrient dynamics are demonstrated, using center manifold theory. Some implications of this result for limnological applications are discussed.


References [Enhancements On Off] (What's this?)

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  • [3] E. M. Arnold, Aspects of a zooplankton, phytoplankton, phosphorus system, Ecological Modeling 5, 293-300 (1978)
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  • [6] J. Lin and P. B. Kahn, Averaging methods in predator-prey systems and related biological models, J. Theor. Biol. 57, 73-102 (1976) MR 0496849

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Additional Information

DOI: https://doi.org/10.1090/qam/575838
Article copyright: © Copyright 1980 American Mathematical Society

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