Dynamics of a non-autonomous ratio-dependent food chain model

DOI10.1016/j.amc.2009.06.069zbMath1172.92374OpenAlexW2017739654MaRDI QIDQ734893

Zhijun Zeng

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.069

zbMATH Keywords

extinctionpermanenceultimate boundednessglobally asymptotic stabilityMawhin's coincidence degree

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Existence and multiplicity of positive periodic solutions of ratio-dependent food chain model, Positive periodic solution of an augmented predator-prey model with seasonal harvest of prey and migration of predator, A delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperation, A SEASONALLY FORCED ECO-EPIDEMIC MODEL WITH DISEASE IN PREDATOR AND INCUBATION DELAY, A systematic study of autonomous and nonautonomous predator-prey models with combined effects of fear, migration and switching, EFFECT OF ADDITIONAL FOOD ON PREDATOR–PREY INTERACTIONS WITH WATER-LEVEL FLUCTUATION, CHAOS IN A NONAUTONOMOUS MODEL FOR THE INTERACTIONS OF PREY AND PREDATOR WITH EFFECT OF WATER LEVEL FLUCTUATION, A prey–predator interaction under fluctuating level water, Spatiotemporal complexity of a three-species ratio-dependent food chain model

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