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1996, World Scientific series on nonlinear science. Series A, ISBN 9810226284, Volume 21., xv, 326
Book
Applied Mathematics and Computation, ISSN 0096-3003, 01/2017, Volume 293, pp. 293 - 310
This paper investigates an issue of bifurcation control for a novel incommensurate fractional-order predator–prey system with time delay. Firstly, the... 
Fractional-order predator–prey system | Time delay | Hopf bifurcation | Bifurcation control | MATHEMATICS, APPLIED | STABILITY | MODEL | TIME-DELAY | FUNCTIONAL-RESPONSE | CHAOS | NEURAL-NETWORKS | DISCRETE | HOPF-BIFURCATION | DYNAMICS | HYBRID CONTROL | Fractional-order predator prey system
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 12/2015, Volume 70, Issue 12, pp. 3043 - 3056
We consider a diffusive Leslie–Gower predator–prey model subject to the homogeneous Neumann boundary condition. Treating the diffusion coefficient as a... 
Steady-state bifurcation | Leslie–Gower predator–prey | Hopf bifurcation | Double eigenvalue | SYSTEM | MATHEMATICS, APPLIED | GLOBAL STABILITY | II SCHEMES | ENVIRONMENT | SPATIOTEMPORAL PATTERNS | Leslie-Gower predator-prey | Mathematical analysis | Eigenvalues | Bifurcations | Constants | Mathematical models | Bifurcation theory | Diffusion
Journal Article
Journal Article
1979, ISBN 0444853049, Volume 36., x, 232
Book
Nonlinear Dynamics, ISSN 0924-090X, 03/2018, Volume 91, Issue 4, pp. 2097 - 2112
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2012, Volume 391, Issue 1, pp. 265 - 277
This paper is concerned with an autocatalysis model subject to no-flux boundary conditions. The existence of Hopf bifurcation are firstly obtained. Then by the... 
Steady-state bifurcation | Hopf bifurcation | Diffusion | MATHEMATICS | MATHEMATICS, APPLIED | STABILITY | EQUATIONS | SELKOV MODEL | PATTERNS | LENGYEL-EPSTEIN SYSTEM
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 08/2015, Volume 259, Issue 4, pp. 1409 - 1448
In this paper, the existence, stability, and multiplicity of spatially nonhomogeneous steady-state solution and periodic solutions for a reaction–diffusion... 
Nonlocal delay effect | Stability | Hopf bifurcation | Reaction–diffusion | Reaction-diffusion | SYSTEM | MATHEMATICS | DISTRIBUTED DELAY | HOPF-BIFURCATION | POPULATION-MODEL | EQUATION | TRAVELING-WAVES
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 03/2018, Volume 264, Issue 5, pp. 3596 - 3618
In this paper we establish bifurcation theory of limit cycles for planar smooth autonomous differential systems, with . The key point is to study the... 
[formula omitted] smooth system | Hopf bifurcation | Melnikov function | Bifurcation function | Smoothness | Limit cycle | smooth system | NUMBER | C-k smooth system | 16TH PROBLEM | CENTERS | MATHEMATICS | LIMIT-CYCLES | HOPF | ZEROS
Journal Article
1983, Memoirs of the American Mathematical Society, ISBN 0821822845, Volume no. 284 (July 1983), v, 190
Book
Journal of Differential Equations, ISSN 0022-0396, 01/2016, Volume 260, Issue 1, pp. 781 - 817
The dynamics of a diffusive Lotka–Volterra type model for two species with nonlocal delay effect and Dirichlet boundary conditions is investigated in this... 
Nonlocal delay | Hopf bifurcation | Lyapunov–Schmidt reduction | Reaction–diffusion | MATHEMATICS | Reaction diffusion | STABILITY | Lyapunov Schmidt reduction | POPULATION-MODEL | FUNCTIONAL-DIFFERENTIAL EQUATIONS
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2019, Volume 515, pp. 183 - 191
This paper handles the problem of controlling bifurcation for a fractional delayed predator–prey system via active hybrid control strategy. Delay-induced... 
Fractional-order | Delayed predator–prey system | Hopf bifurcation | Hybrid control | SYSTEM | Delayed predator-prey system | PHYSICS, MULTIDISCIPLINARY | STABILITY | TIME-DELAY | Analysis | Models | Numerical analysis
Journal Article
Mathematical Problems in Engineering, ISSN 1024-123X, 2018, Volume 2018, pp. 1 - 21
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2009, Volume 246, Issue 5, pp. 1944 - 1977
A diffusive predator–prey system with Holling type-II predator functional response subject to Neumann boundary conditions is considered. Hopf and steady state... 
Diffusive predator–prey system | Spatially non-homogeneous periodic orbits | Steady state bifurcation | Holling type-II functional response | Hopf bifurcation | Global bifurcation | Diffusive predator-prey system | LYAPUNOV FUNCTIONS | POSITIVE SOLUTIONS | BEHAVIOR | STABILITY | MODEL | MATHEMATICS | HOPF-BIFURCATION | LIMIT-CYCLES
Journal Article
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