Doubly nonlocal reaction-diffusion equations and the emergence of species
From MaRDI portal
Publication:2284580
DOI10.1016/j.apm.2016.10.041zbMath1443.35074arXiv1601.04257OpenAlexW2346942513MaRDI QIDQ2284580
Malay Banerjee, Vitali Vougalter, Vitaly A. Volpert
Publication date: 15 January 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.04257
traveling wavesreaction-diffusion equationemergence of speciesnonlocal reproductionstationary pulses
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Traveling wave solutions (35C07)
Related Items (4)
Prey-predator model with a nonlocal bistable dynamics of prey ⋮ Allee effect in a diffusive predator-prey system with nonlocal prey competition ⋮ Phase transitions in a logistic metapopulation model with nonlocal interactions ⋮ Prey-predator model with nonlocal and global consumption in the prey dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Bistable travelling waves for nonlocal reaction diffusion equations
- Spectrum of some integro-differential operators and stability of travelling waves
- Rapid traveling waves in the nonlocal Fisher equation connect two unstable states
- Mathematical model of evolutionary branching
- Spatial structures and generalized travelling waves for an integro-differential equation
- Existence of stationary pulses for nonlocal reaction-diffusion equations
- Pulses and waves for a bistable nonlocal reaction-diffusion equation
- On pulse solutions of a reaction-diffusion system in population dynamics
- Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation
- Competition of Species with Intra-Specific Competition
- Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit
- Preface to the Issue Nonlocal Reaction-Diffusion Equations
- Patterns and Transitions to Instability in an Intraspecific Competition Model with Nonlocal Diffusion and Interaction
- Patterns for Competing Populations with Species Specific Nonlocal Coupling
- The Decay Rates of Traveling Waves and Spectral Analysis for a Class of Nonlocal Evolution Equations
- Trait Evolution in two–sex Populations
- Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation
- Wave-like Solutions for Nonlocal Reaction-diffusion Equations: a Toy Model
- Mathematics of Darwin’s Diagram
- Monotone wavefronts of the nonlocal Fisher–KPP equation
- Existence of Waves for a Nonlocal Reaction-Diffusion Equation
- Branching and aggregation in self-reproducing systems
- The non-local Fisher–KPP equation: travelling waves and steady states
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
- Elliptic Partial Differential Equations
- Elliptic Partial Differential Equations
- Travelling front solutions of a nonlocal Fisher equation
This page was built for publication: Doubly nonlocal reaction-diffusion equations and the emergence of species