Dynamics of a diffusive predator-prey model with modified Leslie-Gower term and Michaelis-Menten type prey harvesting
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Publication:904282
DOI10.1007/s10440-014-9983-zzbMath1336.35339OpenAlexW2071543264WikidataQ115605538 ScholiaQ115605538MaRDI QIDQ904282
Publication date: 13 January 2016
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-014-9983-z
global stabilityHopf bifurcationnormal formdegree theorycenter manifoldstationary patternMichaelis-Menten type prey harvesting
Stability in context of PDEs (35B35) 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 (12)
Dynamics of a delayed diffusive predator-prey model with hyperbolic mortality ⋮ Dynamical behaviors in a discrete fractional-order predator-prey system ⋮ Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting. II: Existence of two periodic solutions ⋮ Stationary pattern and Hopf bifurcation of a diffusive predator–prey model ⋮ 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 ⋮ Hopf Bifurcation of a Delayed Predator–Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting ⋮ Hopf bifurcation and global stability of a delayed predator-prey model with prey harvesting ⋮ Ecological chaos and the choice of optimal harvesting policy ⋮ Dynamics of a diffusive predator–prey model with herd behavior ⋮ Global stability and Hopf bifurcation of a diffusive predator–prey model with hyperbolic mortality and prey harvesting ⋮ Stability and bifurcation analysis in a delay-induced predator-prey model with Michaelis-Menten type predator harvesting
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