Two components is too simple: an example of oscillatory Fisher–KPP system with three components
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Publication:4965388
DOI10.1017/prm.2019.46zbMath1467.35200arXiv1812.05336OpenAlexW2975656829MaRDI QIDQ4965388
Publication date: 1 March 2021
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.05336
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Bifurcations in context of PDEs (35B32) Second-order parabolic systems (35K40)
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Cites Work
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- Existence and qualitative properties of travelling waves for an epidemiological model with mutations
- Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation
- Rapid traveling waves in the nonlocal Fisher equation connect two unstable states
- Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
- Traveling fronts in space-time periodic media
- Stability of periodic travelling wave solutions with large spatial periods in reaction-diffusion systems
- Stability of spatially homogeneous periodic solutions of reaction- diffusion equations
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Existence of nontrivial steady states for populations structured with respect to space and a continuous trait
- Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave
- Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach
- Super-linear spreading in local and non-local cane toads equations
- The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems
- Travelling waves for the cane toads equation with bounded traits
- Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
- Dynamics of populations with individual variation in dispersal on bounded domains
- The non-local Fisher–KPP equation: travelling waves and steady states
- Plane Wave Solutions to Reaction-Diffusion Equations
- Nonlinear Aspects of Competition Between Three Species
- Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
- On a Lotka-Volterra model which can be projected to a sphere
- Non-cooperative Fisher–KPP systems: Asymptotic behavior of traveling waves
- Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior
- Kinetic conditions for the existence of wave fronts in reaction-diffusion systems
- General conditions for the existence of a “critical point-periodic wave front” connection for reaction-diffusion systems
- Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait
- Elements of applied bifurcation theory
- Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species
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