Spreading speeds for the predator-prey system with nonlocal dispersal
DOI10.1016/j.jde.2022.01.038zbMath1486.35121OpenAlexW4210914057MaRDI QIDQ2669929
Min Zhao, Zhaohai Ma, Xiao Zhao, Rong Yuan
Publication date: 9 March 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.038
comparison principleupper and lower solutionsLyapunov functionalpredator-prey systemnonlocal dispersalspreading speed
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Traveling wave solutions (35C07) Comparison principles in context of PDEs (35B51)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spreading speeds and traveling wave solutions in cooperative integral-differential systems
- The mathematics behind biological invasions
- Traveling wave solutions of Lotka-Volterra competition systems with nonlocal dispersal in periodic habitats
- Spreading speeds of a Lotka-Volterra predator-prey system: The role of the predator
- Traveling wave solutions for a class of predator-prey systems
- Traveling wave solutions in delayed reaction diffusion systems with applications to multi-species models
- Run for your life. A note on the asymptotic speed of propagation of an epidemic
- Stability analysis of a predator-prey system with mutual interference and density-dependent death rates
- Multidimensional nonlinear diffusion arising in population genetics
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Spreading speeds for a two-species competition-diffusion system
- Spreading speed and linear determinacy for two-species competition models
- Analysis of linear determinacy for spread in cooperative models
- Minimal wave speed in a dispersal predator-prey system with delays
- Invasion traveling wave solutions of a predator-prey model with nonlocal dispersal
- Asymptotic spreading in a Lotka-Volterra predator-prey system
- Random dispersal vs. non-local dispersal
- Propagation phenomena for a two-species Lotka-Volterra strong competition system with nonlocal dispersal
- Systems with nonlocal vs. local diffusions and free boundaries
- Spreading speeds for multidimensional reaction-diffusion systems of the prey -- predator type
- Existence and stability of traveling waves for Leslie-Gower predator-prey system with nonlocal diffusion
- On the principal eigenvalue of some nonlocal diffusion problems
- Invasion speed of a predator-prey system
- Invasion traveling wave solutions of a predator-prey system
- Spreading speeds as slowest wave speeds for cooperative systems
- Long-Time Behavior of a Class of Biological Models
- Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Spatial dynamics of a periodic population model with dispersal*
- Pattern Generation in Space and Aspect
- Exponential stability of the solutions of the initial value problem for systems with an impulse effect
- Spatial Ecology via Reaction‐Diffusion Equations
- Uniqueness of travelling waves for nonlocal monostable equations
- Traveling Waves for Monotone Semiflows with Weak Compactness
- Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
- Spectral analysis of traveling waves for nonlocal evolution equations
- RANDOM DISPERSAL IN THEORETICAL POPULATIONS
- MULTIDIMENSIONAL STABILITY OF PLANAR WAVES FOR DELAYED REACTION-DIFFUSION EQUATION WITH NONLOCAL DIFFUSION
This page was built for publication: Spreading speeds for the predator-prey system with nonlocal dispersal