Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation

DOI10.1007/978-3-642-35497-7_12zbMath1347.92072OpenAlexW70291943MaRDI QIDQ2822134

Vitali Vougalter, Vitaly A. Volpert

Publication date: 27 September 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-35497-7_12

zbMATH Keywords

Hopf bifurcationstationary pointperiodic structure

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Ecology (92D40) Traveling wave solutions (35C07)

Related Items (12)

DYNAMICAL SYSTEM MODEL OF DECISION MAKING AND PROPAGATION ⋮ Existence of solutions for some systems of integro-differential equations with transport and superdiffusion ⋮ Solvability of some integro-differential equations with drift ⋮ Criteria for the existence and lower bounds of principal eigenvalues of time periodic nonlocal dispersal operators and applications ⋮ Solvability of some integro-differential equations with drift and superdiffusion ⋮ On solvability in the sense of sequences for some non-Fredholm operators with drift and anomalous diffusion ⋮ Spatiotemporal pattern formation in 2D prey-predator system with nonlocal intraspecific competition ⋮ Solvability of some integro-differential equations with anomalous diffusion and transport ⋮ Doubly nonlocal reaction-diffusion equations and the emergence of species ⋮ Preface to the Issue 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

Cites Work

• Traveling wave fronts for generalized Fisher equations with spatio-temporal delays
• On selection dynamics for continuous structured populations
• Spatial structures and generalized travelling waves for an integro-differential equation
• Travelling waves for integro-differential equations in population dynamics
• Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities
• Travelling wave solutions for a scalar age-structured equation
• Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
• Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation
• Competition of Species with Intra-Specific Competition
• Selection Theorem for Systems with Inheritance
• Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit
• Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
• 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
• Nonlinear Convective Instability of Turing‐Unstable Fronts near Onset: A Case Study
• Travelling front solutions of a nonlocal Fisher equation

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