Stability analysis of prey-predator system with Holling type functional response and prey refuge

DOI10.1186/s13662-017-1301-4zbMath1422.92125OpenAlexW2748872849WikidataQ59514507 ScholiaQ59514507MaRDI QIDQ1629904

Haopeng Tang, Zhi-Hui Ma, Shu-Fan Wang, Ting-Ting Wang

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1301-4

zbMATH Keywords

stabilitybifurcationlimit cyclepredator-prey systemprey refugedestabilizing effect

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

Global Stability of a Predator-Prey Model with Ivlev-Type Functional Response ⋮ Effects of Predator-Driven Prey Dispersal on Sustainable Harvesting Yield ⋮ Global dynamics of a predator-prey model with general Holling type functional responses ⋮ Additive Allee effect on prey in the dynamics of a Gause predator-prey model with constant or proportional refuge on prey at low or high densities ⋮ Dynamic study of a predator-prey model with Allee effect and Holling type-I functional response ⋮ Dynamical behavior of a generalized eco-epidemiological system with prey refuge ⋮ Unnamed Item ⋮ HOW DO PARTIALLY HIDING BEHAVIOR AND COMPLETELY HIDING BEHAVIOR IMPACT INTERACTING POPULATIONS? ⋮ Global stability of the predator-prey model with a sigmoid functional response ⋮ A delay-induced predator-prey model with Holling type functional response and habitat complexity ⋮ Dynamical analysis of a fuzzy phytoplankton-zooplankton model with refuge, fishery protection and harvesting ⋮ Nontrivial Effect of Time-Varying Migration on the Three Species Prey-Predator System ⋮ Global analysis of a predator-prey model with variable predator search rate

Cites Work

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• Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges
• The effects of refuges on predator-prey interactions: A reconsideration
• Global stability of predator-prey interactions
• Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge
• Short term refuge use and stability of predator-prey models
• Stability analysis of a prey-predator model incorporating a prey refuge
• Prey-predator dynamics with prey refuge providing additional food to predator
• Elements of Mathematical Ecology

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