Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay
Open Mathematics, 2022 This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
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Spatial dynamics for a non-monotone reaction-diffusion system with spatio-temporal delay
Mathematics in Applied Sciences and EngineeringIn this paper, we study the spreading speed and traveling wave solutions of a non-monotone reaction-diffusion system with spatio-temporal delay. By constructing a pair of auxiliary systems and using the Schauder 's fixed point theorem, the existence of ...
Ge Tian, Na Liang
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Traveling waves of a delayed epidemic model with spatial diffusion
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the existence and non-existence of traveling waves for a delayed epidemic model with spatial diffusion. That is, by using Schauder's fixed-point theorem and the construction of Lyapunov functional, we prove that when the basic ...
Wu Pei, Qiaoshun Yang, Zhiting Xu
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Euler–Darboux–Poisson Equation in Context of the Traveling Waves in a Strongly Inhomogeneous Media
Mathematics, 2023 The existence of traveling waves in an inhomogeneous medium is a vital problem, the solution of which can help in modeling the wave propagation over long distances. Such waves can be storm waves or tsunami waves in the seas and oceans.
Ioann Melnikov, Efim Pelinovsky
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Exact and Asymptotic Conditions on Traveling Wave Solutions of the Navier-Stokes Equations
, 2009 We derive necessary conditions that traveling wave solutions of the Navier-Stokes equations must satisfy in the pipe, Couette, and channel flow geometries.
Divakar Viswanath +3 more
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Geometric scaling as traveling waves [PDF]
, 2003 We show the relevance of the nonlinear Fisher and Kolmogorov-Petrovsky- Piscounov (KPP) equation to the problem of high energy evolution of the QCD amplitudes. We explain how the traveling wave solutions of this equation are related to geometric scaling,
A. Kolmogorov +10 more
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Traveling wave solutions of compressible fluid equations and orbital stability
AIP Advances, 2015 In this paper, we discuss the existence of traveling wave solutions for compressible fluid equations by applying the theory and method of planar dynamical system, and obtain explicit expressions for all bounded traveling wave solutions by undetermined ...
Xiang Li, Weiguo Zhang, Zhengming Li
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Negative Order KdV Equation with No Solitary Traveling Waves
Mathematics, 2021 We consider the negative order KdV (NKdV) hierarchy which generates nonlinear integrable equations. Selecting different seed functions produces different evolution equations. We apply the traveling wave setting to study one of these equations. Assuming a
Miguel Rodriguez, Jing Li, Zhijun Qiao
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Existence and uniqueness of traveling wave for accelerated Frenkel-Kontorova model
, 2014 In this paper, we study the existence and uniqueness of traveling wave solution for the accelerated Frenkel-Kontorova model. This model consists in a system of ODE that describes the motion particles in interaction.
Forcadel, Nicolas +2 more
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The Traveling Wave Solutions and Their Bifurcations for the BBM-Like B(m,n) Equations
Journal of Applied Mathematics, 2013 We investigate the traveling wave solutions and their bifurcations for the BBM-like B(m,n) equations ut+αux+β(um)x−γ(un)xxt=0 by using bifurcation method and numerical simulation approach of dynamical systems.
Shaoyong Li, Zhengrong Liu
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