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Math Biosci. 2019 Jul 22;315:108233. doi: 10.1016/j.mbs.2019.108233. [Epub ahead of print]

A physiologically-structured fish population model with size-dependent foraging.

Author information

1
Department of Mathematics & Statistics, University of Guelph, Guelph, ON, N1G 2W1, Canada.
2
Department of Mathematics & Statistics, University of Guelph, Guelph, ON, N1G 2W1, Canada. Electronic address: awillms@uoguelph.ca.

Abstract

A previous physiologically-structured model for a fish population based on individual-level characteristics is studied. The foraging rate is generalized to include a size-dependent functional response and the energy distribution of adults is generalized to permit both reproduction and growth. Equilibria are determined and their stability studied along with a discussion of harvesting strategies. The model with these generalizations is shown to give different predictions than the original model regarding age distribution of fish and harvesting strategies.

KEYWORDS:

Delay differential equations; Fish ecology; Physiologically-structured population model; Size-dependent foraging

PMID:
31344381
DOI:
10.1016/j.mbs.2019.108233

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