Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay

DOI10.1016/S0022-247X(02)00020-3zbMath1008.34065OpenAlexW2077831060WikidataQ115565774 ScholiaQ115565774MaRDI QIDQ1604605

Rui Xu, Fordyce A. Davidson, Mark A. J. Chaplain

Publication date: 8 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00020-3

zbMATH Keywords

time delayglobal stabilitylocal stabilityuniform persistenceMichaelis-Menten predator-prey model

Mathematics Subject Classification ID

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

Related Items (6)

Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point ⋮ PERSISTENCE AND GLOBAL STABILITY IN A PREDATOR-PREY SYSTEM WITH DELAY ⋮ Oscillation in pest population and its management: a mathematical study ⋮ Positive periodic solutions in generalized ratio-dependent predator-prey systems ⋮ Permanence and global attractivity of discrete predator-prey system with Hassell-Varley type functional response ⋮ Bifurcation analysis of a diffusive ratio-dependent predator-prey model

Uses Software

• Matlab

Cites Work

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• Delay differential equations: with applications in population dynamics
• The trade-off between mutual interference and time lags in predator-prey systems
• Harmless delays for uniform persistence
• Coexistence in a Model of Competition in the Chemostat Incorporating Discrete Delays
• Global analyses in some delayed ratio-dependent predator-prey systems

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