Dynamical analysis on prey refuge in a predator-prey model with square root functional response

DOI10.22436/jmcs.018.02.03zbMath1427.92072OpenAlexW2792104835WikidataQ115496207 ScholiaQ115496207MaRDI QIDQ5205347

Liujuan Chen, Yi-Qin Wang

Publication date: 11 December 2019

Published in: Journal of Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jmcs.018.02.03

zbMATH Keywords

limit cycleglobal stabilitytranscritical bifurcationprey refugessquare root functional response

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23)

Related Items (3)

Dynamic behaviors of a stage structure amensalism system with a cover for the first species ⋮ On certain modification of age-dependent predator-prey model ⋮ Global dynamic behavior of a predator-prey model under ratio-dependent state impulsive control

Cites Work

• Modeling herd behavior in population systems
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
• Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
• Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge
• Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges
• On a Leslie-Gower predator-prey model incorporating a prey refuge
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge
• The effects of refuges on predator-prey interactions: A reconsideration
• Effects of optimal antipredator behavior of prey on predator-prey dynamics: The role of refuges
• Uniqueness of the limit cycle for Gause-type predator-prey systems
• Stability analysis of a prey-predator model incorporating a prey refuge
• Predator-prey dynamics with square root functional responses
• Modelling and analysis of a harvested prey--predator system incorporating a prey refuge
• GLOBAL ANALYSIS OF A HARVESTED PREDATOR–PREY MODEL INCORPORATING A CONSTANT PREY REFUGE

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