Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. I: The full model and some of its limits

DOI10.1007/BF00275716zbMath0616.92008WikidataQ113909301 ScholiaQ113909301MaRDI QIDQ1821718

F. H. D. van Batenburg, J. A. J. (Hans) Metz

Publication date: 1985

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

functional response equilibrium distribution structured population models limit processes Holling's hungry mantid model frequency distribution approximation by Markov processes invertebrate predatory behaviour van Kampen expansion

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40)

Related Items (10)

Structured populations, linear semigroups and positivity ⋮ Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. III. Stable satiation distribution ⋮ A model of resource renewal and depletion: Applications to the distribution and abundance of nectar in flowers ⋮ Persistent distribution functions for the dispersion of structured populations ⋮ Evolutionary branching and long-term coexistence of cycling predators: critical function analy\-sis ⋮ The Rosenzweig-MacArthur system via reduction of an individual based model ⋮ Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities ⋮ A derivation of Holling's type I, II and III functional responses in predator-prey systems ⋮ Computation of the fitness and functional response of Holling's ``hungry mantid by the WKB method ⋮ Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. II: Negligible handling time

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