Dynamical stabilization and traveling waves in integrodifference equations
From MaRDI portal
Publication:2230306
DOI10.3934/dcdss.2020117zbMath1479.37080OpenAlexW2982373785WikidataQ126837379 ScholiaQ126837379MaRDI QIDQ2230306
Adèle Bourgeois, Frithjof Lutscher, Victor G. LeBlanc
Publication date: 17 September 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020117
Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)
Related Items
NonMonotonicity of Traveling Wave Profiles for a Unimodal Recursive System, Properties of traveling waves in an impulsive reaction-diffusion model with overcompensation, Spreading speed in a non-monotonic Ricker competitive integrodifference system, Rotational symmetry and rotating waves in planar integro-difference equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The mathematics behind biological invasions
- Spatial propagation for a two component reaction-diffusion system arising in population dynamics
- Properties of traveling waves for integrodifference equations with nonmonotone growth functions
- Propagation of second order integrodifference equations with local monotonicity
- How predation can slow, stop or reverse a prey invasion
- An extension of the formula for spreading speeds
- Existence of traveling waves for integral recursions with nonmonotone growth functions
- Discrete-time growth-dispersal models
- Discrete-time travelling waves: Ecological examples
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Ordinary and delay differential equations
- Introduction to functional differential equations
- Dynamical stabilization of an unstable equilibrium in chemical and biological systems
- Critical phenomena in plankton communities: KISS model revisited
- A minimal model of pattern formation in a prey-predator system
- Dispersal and pattern formation in a discrete-time predator-prey model
- Traveling wave solutions for integro-difference systems
- Invasion speed of a predator-prey system
- A mathematical biologist's guide to absolute and convective instability
- Absolute stability and dynamical stabilisation in predator-prey systems
- Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal
- Asymptotic Behavior, Spreading Speeds, and Traveling Waves of Nonmonotone Dynamical Systems
- Stacked Fronts for Cooperative Systems with Equal Diffusion Coefficients
- Modelling the biological invasion ofCarcinus maenas(the European green crab)
- Long-Time Behavior of a Class of Biological Models
- Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
- Plane Wave Solutions to Reaction-Diffusion Equations
- Slowly Varying Waves and Shock Structures in Reaction-Diffusion Equations
- Spreading Phenomena in Integrodifference Equations with Nonmonotone Growth Functions
- Global Stability of Traveling Fronts and Convergence Towards Stacked Families of Waves in Monotone Parabolic Systems
