✦ LIBER ✦

Fisher waves in reaction random walks

✍ Scribed by Werner Horsthemke

Book ID: 104337872
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 87 KB
Volume: 263
Category: Article
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(99)00711-2

No coin nor oath required. For personal study only.

✦ Synopsis

We study systems of particles that disperse via a persistent random walk and undergo branching-coalescence reactions in the activation-controlled regime. These reaction random walks represent a generalization of the Fisher reaction-diffusion equation. Activation control can be modelled in reaction random walks either implicitly, using direction-independent kinetics, or explicitly, using direction-dependent kinetics. We show that traveling waves exist in both cases and that the minimal wave speeds are smaller than for the classical Fisher equation.

📜 SIMILAR VOLUMES

Random walks in random environments

✍ Fisher, Daniel S. 📂 Article 📅 1984 🏛 The American Physical Society 🌐 English ⚖ 198 KB

Random walks in a random environment

✍ S. R. S. Varadhan 📂 Article 📅 2004 🏛 Indian Academy of Sciences 🌐 English ⚖ 93 KB

Directed random walks in random environm

Directed random walks in random environments

✍ E. Buffet; P. Hannigan 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 820 KB

Persistent random walks in random enviro

Persistent random walks in random environment

✍ Bálint Tóth 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 422 KB

Knots in random walks

✍ Nicholas Pippenger 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 428 KB

Random walks in biology

✍ Michal Krízek, Pekka Neittaanmäki 📂 Library 📅 1996 🏛 Springer 🌐 English ⚖ 1 MB

The main aim of this book is twofold. Firstly, it shows engineers why it is useful to deal with, for example, Hilbert spaces, imbedding theorems, weak convergence, monotone operators, compact sets, when solving real-life technical problems. Secondly, mathematicians will see the importance and ne