Mathematical Medicine and Biology A Journal of the IMA · 1987 · 13 citations · 0 references
Natural SciencesBiologyEcologyCoral Reef BiologyCoral Reef EcologyDynamical SystemsBifurcation TheoryMarine Ecosystem DynamicsMarine Population DynamicsOrbital StabilityPeriodic OrbitsReef Fish EcologyBifurcationBifurcation Of Periodic OrbitsCoral Reef Ecosystem DynamicsLarge-amplitude OscillationsPeriodic Solutions Of Differential EquationsPredationPredation RateStable Periodic Orbits
A family of large-amplitude, orbitally stable periodic solutions of a model introduced by Antonelli & Karzarinoff is computed using two different codes. A complete bifurcation diagram for this model is derived, and the biological significance of the results is discussed.