Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. III. Stable satiation distribution

DOI10.1007/BF00277665zbMath0599.92019OpenAlexW2075045627WikidataQ52522518 ScholiaQ52522518MaRDI QIDQ1080799

Henk J. A. M. Heijmans

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00277665

zbMATH Keywords

positive operatorTrotter-Kato theoremforward equationcompactness argumentsbackward equationHolling's hungry mantid modelinvertebrate functional responsepredatory behaviourstable satiation distribution

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (7)

Structured populations, linear semigroups and positivity ⋮ Solution of functional difference equations from behavioral theory ⋮ Persistent distribution functions for the dispersion of structured populations ⋮ The Rosenzweig-MacArthur system via reduction of an individual based model ⋮ 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. I: The full model and some of its limits ⋮ Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. II: Negligible handling time

Cites Work

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• On the stability of the cell size distribution
• Semigroups of linear operators and applications to partial differential equations
• An eigenvalue problem related to cell growth
• Theory of functional differential equations. 2nd ed
• Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. I: The full model and some of its limits
• Holling's hungry mantid model for the invertebrate functional response considered as a Markov process. II: Negligible handling time

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