Spreading and vanishing for a monostable reaction-diffusion equation with forced speed
DOI10.1007/s10884-018-9643-5OpenAlexW2785577753WikidataQ115383468 ScholiaQ115383468MaRDI QIDQ1739082
Juliette Bouhours, Thomas Giletti
Publication date: 25 April 2019
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.11042
travelling wavesreaction-diffusion equationslong time behaviourclimate changesharp threshold phenomena
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07)
Related Items (31)
Cites Work
- Unnamed Item
- Climate and competition: the effect of moving range boundaries on habitat invasibility
- A variational approach to reaction-diffusion equations with forced speed in dimension 1
- Persistence versus extinction under a climate change in mixed environments
- Existence and global stability of traveling curved fronts in the Allen-Cahn equations
- A variational proof of global stability for bistable travelling waves.
- Threshold solutions and sharp transitions for nonautonomous parabolic equations on \({\mathbb{R}^N}\)
- Reaction-diffusion equations for population dynamics with forced speed. II: Cylindrical-type domains
- Can a species keep pace with a shifting climate?
- Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space
- Convergence and sharp thresholds for propagation in nonlinear diffusion problems
- Convergence to pushed fronts
- Travelling fronts in nonlinear diffusion equations
- Multidimensional nonlinear diffusion arising in population genetics
- The behavior of solutions of some non-linear diffusion equations for large time
- A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type
- Threshold phenomena for symmetric decreasing solutions of reaction-diffusion equations
- Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure
- Life on the Move: Modeling the Effects of Climate-Driven Range Shifts with Integrodifference Equations
- Global Exponential Convergence to Variational Traveling Waves in Cylinders
- Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$
- Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets
- Persistence and Spread of a Species with a Shifting Habitat Edge
- Sharp transition between extinction and propagation of reaction
- Wave solutions to reaction-diffusion systems in perforated domains
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