Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system
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Publication:4622719
DOI10.1063/1.5078814zbMath1406.92658arXiv1811.06215OpenAlexW2901443219WikidataQ91309037 ScholiaQ91309037MaRDI QIDQ4622719
Ben Niu, Junjie Wei, Yan-fei Du
Publication date: 13 February 2019
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.06215
Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Modeling plant virus propagation with delays
- Global Hopf bifurcation in the Leslie-Gower predator-prey model with two delays
- The effect of delay on a diffusive predator-prey system with modified Leslie-Gower functional response
- Stability and Hopf bifurcation analysis of a prey-predator system with two delays
- Analysis of an SEIRS epidemic model with two delays
- Dynamics of a modified Leslie-Gower model with double Allee effects
- Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
- A prey-predator model with migrations and delays
- Chaotic attractors on a 3-torus, and torus break-up
- Retracted: Stability and Hopf bifurcations in a delayed Leslie-Gower predator-prey system
- On a Leslie-Gower predator-prey model incorporating a prey refuge
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Discrete delay, distributed delay and stability switches
- Theory of functional differential equations. 2nd ed
- The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model
- Study of a Leslie-Gower-type tritrophic population model
- Hopf bifurcation analysis for a ratio-dependent predator-prey system with two delays and stage structure for the predator
- Stability and bifurcation in a neural network model with two delays.
- Theory and applications of partial functional differential equations
- A diffusive predator-prey model in heterogeneous environment
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Positive steady state solutions of a Leslie-Gower predator-prey model with Holling type II functional response and density-dependent diffusion
- Global Hopf bifurcation on two-delays Leslie-Gower predator-prey system with a prey refuge
- Bifurcations for a predator-prey system with two delays
- Dynamics in a diffusive modified Leslie-Gower predator-prey model with time delay and prey harvesting
- Bifurcation analysis in a delayed Lotka-Volterra predator-prey model with two delays
- On the nature of turbulence
- On stability crossing curves for general systems with two delays
- Delay-driven spatial patterns in a plankton allelopathic system
- GLOBAL STABILITY AND HOPF BIFURCATION IN A DELAYED DIFFUSIVE LESLIE–GOWER PREDATOR–PREY SYSTEM
- A STOCHASTIC MODEL FOR STUDYING THE PROPERTIES OF CERTAIN BIOLOGICAL SYSTEMS BY NUMERICAL METHODS
- The properties of a stochastic model for the predator-prey type of interaction between two species
- Bifurcation and stability analysis for a delayed Leslie-Gower predator-prey system
- Roads to turbulence in dissipative dynamical systems
- Stability Criteria for a System Involving Two Time Delays
- Normal forms and Hopf bifurcation for partial differential equations with delays