Mass Structured Systems with Boundary Delay: Oscillations and the Effect of Selective Predation

O. Angulo, J.C. López-Marcos, Martin Alan Bees

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We study equilibrium and oscillatory solutions of a general mass structured
system with a boundary delay. Such delays may be derived from systems with a separate egg class. Analytical calculations reveal existence criteria for non-trivial steady states. We further explore parameter space using numerical methods. The analysis is applied to a typical mass structured slug population model revealing oscillations, pulse solutions and irregular dynamics. However, robustly defined isolated cohorts, of the form sometimes suggested by experimental data, do not naturally emerge. Nonetheless, disordered, leapfrogging local maxima do result and may be enhanced by selective predation.
Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalJournal of Nonlinear Science
Issue number3
Publication statusPublished - Jun 2012

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