Existence and stability traveling wave solutions for a system of social outbursts

DOI10.1016/j.jmaa.2020.124583zbMath1458.35113OpenAlexW3084826566MaRDI QIDQ2226351

Yanyan Li

Publication date: 12 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124583

zbMATH Keywords

planar traveling wave solutionsspread of rioting activity

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Traveling wave solutions (35C07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A model of riots dynamics: shocks, diffusion and thresholds
• Numerical computation of an Evans function for travelling waves
• Explicit solutions of Fisher's equation for a special wave speed
• Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
• Travelling fronts in nonlinear diffusion equations
• On the stability of waves of nonlinear parabolic systems
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• The propagation of travelling waves for stochastic generalized KPP equations. Appendix by J. G. Gaines
• Computing Evans functions numerically via boundary-value problems
• Entire solutions of reaction-diffusion equations and an application to discrete diffusive equations
• Exponential dichotomies and transversal homoclinic points
• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• Spectral and dynamical stability of nonlinear waves
• Fast propagation for KPP equations with slowly decaying initial conditions
• A numerical perspective on traveling wave solutions in a system for rioting activity
• Periodic cycles of social outbursts of activity
• The Arab Spring: a simple compartmental model for the dynamics of a revolution
• On the Structure of Spectra of Modulated Travelling Waves
• A Short History of Mathematical Population Dynamics
• Spectral analysis for matrix Hamiltonian operators
• The Accommodation of Traveling Waves of Fisher’s Type to the Dynamics of the Leading Tail
• Bistable traveling waves around an obstacle
• Exponential Dichotomies and Fredholm Operators
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• Transient Bounds and Time-Asymptotic Behavior of Solutions to Nonlinear Equations of Fisher Type
• Convergence to travelling fronts in semilinear parabolic equations
• Spectral stability of modulated travelling waves bifurcating near essential instabilities
• Analysis of a heterogeneous model for riot dynamics: the effect of censorship of information
• Eigenvalues, and instabilities of solitary waves
• Travelling waves in the Holling–Tanner model with weak diffusion
• Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity

This page was built for publication: Existence and stability traveling wave solutions for a system of social outbursts