An algorithm for Hopf bifurcation analysis of a delayed reaction-diffusion model
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Publication:1678382
DOI10.1007/s11071-017-3458-5zbMath1374.35220OpenAlexW2595949677MaRDI QIDQ1678382
Publication date: 17 November 2017
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3458-5
stabilityperiodic solutionstime delayHopf bifurcationdelay differential equationsreaction-diffusion equation
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and Hopf bifurcation of a complex-valued neural network with two time delays
- Stability and Hopf bifurcation of a predator-prey model with stage structure and time delay for the prey
- Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
- Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay
- Stability and Hopf bifurcation in a reaction-diffusion predator-prey system with interval biological parameters and stage structure
- The impact of diffusive migration on ecosystem stability
- Hopf bifurcations of a ratio-dependent predator-prey model involving two discrete maturation time delays
- Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect
- Analysis of biochemical reactions models with delays
- Delay differential equations: with applications in population dynamics
- Emitting waves from defects in network with autapses
- Differential-difference equations
- Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
- Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Diffusion-driven instability and Hopf bifurcation in Brusselator system
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Discrete delay, distributed delay and stability switches
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Introduction to functional differential equations
- On the stability of some exponential polynomials
- Mathematical biology. Vol. 1: An introduction.
- Theory and applications of partial functional differential equations
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Stability and Hopf bifurcation of a nonlinear oscillator with multiple time-delays
- Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Hopf bifurcation analysis of a system of coupled delayed-differential equations
- Bifurcations in Delay Differential Equations and Applications to Tumor and Immune System Interaction Models
- Delay Differential Equations
- A test for stability of linear differential delay equations
- Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
- The chemical basis of morphogenesis
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model
- Hopf Bifurcation in Differential Equations with Delay for Tumor–Immune System Competition Model
- Elements of applied bifurcation theory
