Abstract. The stability of a size-structured population dynamics model of Daphnia coupled with the dynamics of an unstructured algal food source is investigated when there is a constant inflow of newborns Daphnia from an external source. We determine the steady states and study their stability. We also give examples that illustrate the stability results.

Received: March 31, 2011

AMS Subject Classification: 45M10, 35B35, 35L60, 92D25

Key Words and Phrases: population, stability, steady state, size-structurem, Daphnia, Algae, characteristic equation

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 2

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