Long-time behavior of random and nonautonomous Fisher-KPP equations. Part II. Transition fronts
DOI10.1142/S0219493719500461zbMath1430.35131arXiv1806.03508OpenAlexW2963106216MaRDI QIDQ5213059
Rachidi Bolaji Salako, Wenxian Shen
Publication date: 31 January 2020
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.03508
subadditive ergodic theoremspreading speedtransition frontergodic metric dynamical systemnonautonomous Fisher-KPP equationrandom Fisher-KPP equation
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random traveling wave and bifurcations of asymptotic behaviors in the stochastic KPP equation driven by dual noises
- Stochastic traveling wave solution to a stochastic KPP equation
- Transition fronts in inhomogeneous Fisher-KPP reaction-diffusion equations
- Critical travelling waves for general heterogeneous one-dimensional reaction-diffusion equations
- Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients
- Generalized transition fronts for one-dimensional almost periodic Fisher-KPP equations
- Uniqueness and stability properties of monostable pulsating fronts
- Propagation phenomena for time heterogeneous KPP reaction-diffusion equations
- Existence and non-existence of Fisher-KPP transition fronts
- Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds
- Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
- Traveling fronts in space-time periodic media
- Spreading speeds and traveling waves for periodic evolution systems
- Spreading speeds and traveling waves for abstract monostable evolution systems
- Liouville-type results for semilinear elliptic equations in unbounded domains
- On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type
- On the stability of waves of nonlinear parabolic systems
- Multidimensional nonlinear diffusion arising in population genetics
- The behavior of solutions of some non-linear diffusion equations for large time
- Traveling waves in diffusive random media
- The speed of propagation for KPP type problems. I: Periodic framework
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Stochastic traveling wave solution to stochastic generalized KPP equation
- Long time behavior of random and nonautonomous Fisher-KPP equations. I: Stability of equilibria and spreading speeds
- Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity
- Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations
- Analysis of the periodically fragmented environment model. I: Species persistence
- Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
- Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle
- Asymptotic properties of the solutions to stochastic KPP equations
- Two properties of stochastic KPP equations: ergodicity and pathwise property
- Variational Principles for Propagation Speeds in Inhomogeneous Media
- Transition fronts for the Fisher-KPP equation
- Transition fronts for inhomogeneous monostable reaction–diffusion equations via linearization at zero
- Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models
- Traveling wave front for partial neutral differential equations
- Long-Time Behavior of a Class of Biological Models
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Travelling waves for delayed reaction–diffusion equations with global response
- The speed of propagation for KPP type problems. II: General domains
- Convergence of solutions of the Kolmogorov equation to travelling waves
- Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method
- Front Propagation in Heterogeneous Media
- Speeds of Spread and Propagation for KPP Models in Time Almost and Space Periodic Media
- Stability of transition waves and positive entire solutions of Fisher-KPP equations with time and space dependence
- Generalized Transition Waves and Their Properties
This page was built for publication: Long-time behavior of random and nonautonomous Fisher-KPP equations. Part II. Transition fronts