Abstract
Reaction-diffusion equations are widely used as models for spatial effects in ecology. They support three important types of ecological phenomena: the existence of a minimal patch size necessary to sustain a population, the propagation of wavefronts corresponding to biological invasions, and the formation of spatial patterns in the distributions of populations in homogeneous environments. Reaction-diffusion equations can be analyzed by means of methods from the theory of partial differential equations and dynamical systems. we will discuss the derivation of reaction-diffusion models in ecology, sketch the basic aspects of their analysis, and describe some of their applications and mathematical properties.
| Original language | English (US) |
|---|---|
| Title of host publication | Tutorials in Mathematical Biosciences IV |
| Subtitle of host publication | Evolution and Ecology |
| Publisher | Springer Verlag |
| Pages | 77-115 |
| Number of pages | 39 |
| ISBN (Print) | 9783540743286 |
| DOIs | |
| State | Published - Jan 1 2008 |
Publication series
| Name | Lecture Notes in Mathematics |
|---|---|
| Volume | 1922 |
| ISSN (Print) | 0075-8434 |
ASJC Scopus subject areas
- Algebra and Number Theory
Fingerprint Dive into the research topics of 'Reaction-diffusion equations and ecological modeling'. Together they form a unique fingerprint.
Cite this
Cosner, C. (2008). Reaction-diffusion equations and ecological modeling. In Tutorials in Mathematical Biosciences IV: Evolution and Ecology (pp. 77-115). (Lecture Notes in Mathematics; Vol. 1922). Springer Verlag. https://doi.org/10.1007/978-3-540-74331-6_3