A Holling Predator-Prey Model with Handling and Searching Predators

DOI10.1137/20M1316007zbMath1450.34033arXiv1912.09574OpenAlexW3045671594WikidataQ115525549 ScholiaQ115525549MaRDI QIDQ5117975

Pierre Magal, Sze-Bi Hsu, Zhihua Liu

Publication date: 26 August 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09574

zbMATH Keywords

limit cycleequilibriumuniform persistencedissipative systemhandling and searching predators

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Qualitative analysis on a reaction-diffusion model arising from population dynamics, Cross-diffusion predator-prey model derived from the dichotomy between two behavioral predator states, Global boundedness and stability of solutions for prey-taxis model with handling and searching predators

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