Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
From MaRDI portal
Publication:1320447
DOI10.1007/BF01874129zbMath0809.92017WikidataQ115610243 ScholiaQ115610243MaRDI QIDQ1320447
Publication date: 24 April 1994
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
delaycarrying capacityAndronov-Hopf bifurcationautonomous predator-prey modelmemory conditionsstability of nontrivial equilibrium points
Population dynamics (general) (92D25) Applications of PDEs on manifolds (58J90) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items
A widespread interaction between generalist and specialist enemies: the role of intraguild predation and Allee effect, Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting, Dynamics of a predator-prey model with strong Allee effect and nonconstant mortality rate, Turing bifurcation in a system with cross diffusion, A dynamic interplay between allee effect and time delay in a mathematical model with weakening memory, Dynamics and stability of two predators-one prey mathematical model with fading memory in one predator, \(n\)-dimensional ratio-dependent predator-prey systems with memory, Partial characterization of the global dynamic of a predator-prey model with non constant mortality rate, Bifurcation in a predator-prey model with diffusion: rotating waves, Dynamic analysis of a heterogeneous diffusive prey-predator system in time-periodic environment, The Rosenzweig-MacArthur graphical criterion for a predator-prey model with variable mortality rate, Bifurcation analysis of a diffusive predator–prey model with prey social behavior and predator harvesting, DELAY INDUCED SUBCRITICAL HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND HYPERBOLIC MORTALITY, Hopf Bifurcation of a Delayed Predator–Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting, Threshold behavior of a stochastic predator-prey system with prey refuge and fear effect, Oscillatory Behavior of a Delayed Ratio-Dependent Predator–Prey System with Michaelis–Menten Functional Response, Hopf bifurcation analysis of a delayed diffusive predator-prey system with nonconstant death rate, Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality, On the dynamics of a predator-prey model with nonconstant death rate and diffusion, Herd behavior in a predator-prey model with spatial diffusion: bifurcation analysis and Turing instability, Bifurcation analysis of a diffusive predator-prey system with nonconstant death rate and Holling III functional response, Qualitative behaviour of a ratio-dependent predator-prey system, AN EFFICIENT AND ACCURATE NUMERICAL SCHEME FOR TURING INSTABILITY ON A PREDATOR–PREY MODEL, Stable periodic orbits for a predator-prey model with delay, EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY, The global dynamics of stochastic Holling type II predator-prey models with non constant mortality rate, Bifurcations in a predator-prey model with memory and diffusion. II: Turing bifurcation
Cites Work