Note on permanence and global stability in delayed ratio-dependent predator-prey models with monotonic functional responses

DOI10.1016/J.CAM.2009.12.039zbMath1215.34104OpenAlexW2000380602WikidataQ115581104 ScholiaQ115581104MaRDI QIDQ964968

Yong-Hong Fan, Lin-Lin Wang

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.039

zbMATH Keywords

global stabilitypermanencepredator-prey modelratio dependentmonotonic response function

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (6)

Almost automorphic solutions of discrete delayed neutral system ⋮ Dynamical behavior of a stochastic ratio-dependent predator-prey system ⋮ Spatially nonhomogeneous periodic solutions in a delayed predator-prey model with diffusion effects ⋮ Sufficient and necessary conditions for the permanence of a discrete model with Beddington-DeAngelis functional response ⋮ Permanence for a two-species Gause-type ratio-dependent predator-prey system with time delay in a two-patch environment ⋮ Periodic solutions of a neutral impulsive predator-prey model with Beddington-DeAngelis functional response with delays

Cites Work

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• Persistence in predator-prey systems with ratio-dependent predator influence
• Permanence in delayed ratio-dependent predator-prey models with monotonic functional responses
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• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system

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