Dynamical behavior of a food chain model with prey toxicity

DOI10.1016/j.amc.2014.05.088zbMath1334.92350OpenAlexW2068652338WikidataQ112829278 ScholiaQ112829278MaRDI QIDQ279593

Yu-Mei Xue, Ya Li

Publication date: 28 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.088

zbMATH Keywords

local stabilityfunctional responseHopf bifurcationinvasionfood chain modelplant toxicity

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Cites Work

• Dynamics of a plant-herbivore model with toxin-induced functional response
• Rich dynamics of a food chain model with Hassell-Varley type functional responses
• Elements of applied bifurcation theory.
• Extinction of top-predator in a three-level food-chain model
• Homoclinic and heteroclinic orbits to a cycle in a tri-trophic food chain
• A ratio-dependent food chain model and its applications to biological control.