Global Hopf bifurcation of a delayed diffusive predator-prey model with Michaelis-Menten-type prey harvesting

DOI10.1080/00036811.2015.1007346zbMath1375.35248OpenAlexW1997691162WikidataQ115552888 ScholiaQ115552888MaRDI QIDQ2795475

Weihua Jiang, Rui Yuan, Zhen Wang

Publication date: 21 March 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1007346

zbMATH Keywords

delayHopf bifurcationpredator-prey modeldiffusivespatial homogeneous periodic orbits

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

Analysis of a diffusive predator-prey system with anti-predator behaviour and maturation delay ⋮ Analysis and simulation of a delayed HIV model with reaction-diffusion and sliding control ⋮ Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting. II: Existence of two periodic solutions ⋮ Global dynamics of a competitive system with seasonal succession and different harvesting strategies ⋮ Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting ⋮ Time delays and pollution in an open‐access fishery ⋮ Stability and bifurcation analysis in a single-species stage structure system with Michaelis-Menten-type harvesting ⋮ HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND PREY HARVESTING

Cites Work

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• Stability regions in predator-prey systems with constant-rate prey harvesting
• On Bendixson's criterion
• Compound matrices and ordinary differential equations
• The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response
• Symmetric functional differential equations and neural networks with memory
• Diffusion-driven stability and bifurcation in a predator–prey system withIvlev-type functional response
• Normal forms and Hopf bifurcation for partial differential equations with delays

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