(In)stability of Travelling Waves in a Model of Haptotaxis
DOI10.1137/19M1259705zbMath1443.35013arXiv1902.06446OpenAlexW3042436329MaRDI QIDQ3298135
Martin Wechselberger, Timothy V. Roberts, Robert Marangell, Kristen Harley, Peter van Heijster, Graeme J. Pettet
Publication date: 21 July 2020
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.06446
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) General topics in linear spectral theory for PDEs (35P05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Singular perturbations of ordinary differential equations (34D15) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Traveling wave solutions (35C07)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Influences of Allee effects in the spreading of malignant tumours
- Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system
- Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework
- Numerical computation of an Evans function for travelling waves
- Pulse dynamics in a three-component system: Stability and bifurcations
- Front propagation into unstable states
- Absolute and convective instabilities of waves on unbounded and large bounded domains
- Numerical exterior algebra and the compound matrix method
- Spectral and dynamical stability of nonlinear waves
- A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion
- Geometric phase in the Hopf bundle and the stability of non-linear waves
- An efficient shooting algorithm for Evans function calculations in large systems
- Large stable pulse solutions in reaction-diffusion equations
- A stability index analysis of 1-D patterns of the Gray-Scott model
- Existence of Traveling Wave Solutions for a Model of Tumor Invasion
- Novel solutions for a model of wound healing angiogenesis
- Traveling wave analysis for a mathematical model of malignant tumor invasion
- Singular Limit Analysis of Stability of Traveling Wave Solutions in Bistable Reaction-Diffusion Systems
- On the Matrix Riccati Equation
- Biphasic behaviour in malignant invasion
- Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation
- Folds, canards and shocks in advection–reaction–diffusion models
- Grassmannian spectral shooting
- Computing Stability of Multidimensional Traveling Waves
- Phase Portrait of the Matrix Riccati Equation
- Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
- Multivariable Nyquist criteria, root loci, and pole placement: A geometric viewpoint
- Stability of Travelling Wave Solutions of Diffusive Predator-Prey Systems
- Applications of algebraic geometry to systems theory--Part I
- Applications of Algebraic Geometry to Systems Theory: The M<scp>c</scp>Millan Degree and Kronecker Indices of Transfer Functions as Topological and Holomorphic System Invariants
- Traveling Shock Waves Arising in a Model of Malignant Invasion
- Computing the Maslov index for large systems
- Global aspects of the matrix Riccati equation
- Superposition formulas for pseudounitary matrix Riccati equations
- Transonic canards and stellar wind
- Functions of a Complex Variable: Theory and Technique
This page was built for publication: (In)stability of Travelling Waves in a Model of Haptotaxis
