Journal of Differential Equations
Traveling wave solutions for reaction-diffusion-advection equations driven by a general monotone operator
By Francesca Anceschi.
Abstract
We prove sufficient conditions for the existence, or non-existence, of traveling wave solutions for a reaction-diffusion-advection equation driven by a general monotone operator. Also, we characterize the set of admissible wave speeds in terms of a minimum wave speed, of which we provide an upper and lower estimate. Furthermore, we obtain a classification result and we conclude our work with the study of propagation and saturation properties of the equation under study.
Keywords
- Mathematical and Theoretical Epidemiology and Ecology Models
- Traveling wave
- Monotone polygon
- Operator (biology)
- Work (physics)
- Wave equation
- Operator splitting
- Wave packet
- Wave propagation
- Open access
Source
Published in Journal of Differential Equations. The abstract is shown as published and remains the work of its authors; read the full article at the source.
Prognia lists this article for reference and education. It is not medical advice. Always read the original and follow current guidelines and local protocols before acting on it.