Stability and bifurcation in a non-Kolmogorov type prey-predator system with time delay

DOI10.1016/j.mcm.2004.02.038zbMath1198.34157OpenAlexW2015295621WikidataQ115568952 ScholiaQ115568952MaRDI QIDQ1019307

Yongli Song, Dong Han, Xianzhang Meng

Publication date: 2 June 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2004.02.038

zbMATH Keywords

stabilityperiodic solutionstime delayHopf bifurcationprey-predator system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (4)

Dynamics of a Ivlev-type predator-prey system with constant rate harvesting ⋮ Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example ⋮ Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure ⋮ Effect of small time delay in a predator-prey model within random environment

Cites Work

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• Global stability of predator-prey interactions
• Discrete delay, distributed delay and stability switches
• Convergence results in a well-known delayed predator-prey system
• Sur le problème biologique hereditaire de deux especes devorante et devoree
• ON THEORETICAL MODELS FOR COMPETITIVE AND PREDATORY BIOLOGICAL SYSTEMS
• Periodic Time-Dependent Predator-Prey Systems
• Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays

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