Travelling-wave analysis of a model describing tissue degradation by bacteria
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Publication:5450681
DOI10.1017/S0956792507007139zbMath1130.92031arXivmath/0702886OpenAlexW2135044677MaRDI QIDQ5450681
John R. King, Matthias Röger, Danielle Hilhorst
Publication date: 13 March 2008
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702886
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Medical applications (general) (92C50) Cell biology (92C37) Free boundary problems for PDEs (35R35)
Related Items (2)
A traveling wave model for invasion by precursor and differentiated cells ⋮ Linear determinacy of the minimal wave speed of a model describing tissue degradation by bacteria
Cites Work
- Mathematical analysis of a model describing the invasion of bacteria in burn wounds
- On two types of moving front in quasilinear diffusion
- Travelling fronts in nonlinear diffusion equations
- Front propagation into unstable states
- Limiting behaviour in an epidemic model
- Modelling host tissue degradation by extracellular bacterial pathogens
- Cell-signalling repression in bacterial quorum sensing
- Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium
- Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
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