Analysis of a Length-Structured Density-Dependent Model for Fish.


St. Edward's University, Austin, USA. [Email]


We present a length-structured matrix model for fish populations in which the probability that a fish grows into the next length class is a decreasing nonlinear function of the total biomass of the population. We present mathematical results classifying the dynamics that this density-dependent model predicts. We illustrate these results with numerical simulations for an invasive white perch population and show how the mathematical results can be used to predict the persistence and/or boundedness of the population as well as an equilibrium structure that is dominated by small fish. We illustrate the results with management recommendations for an invasive white perch population.


Density dependence,Equilibria,Fish populations,Population dynamics,Stability,

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