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Traveling Waves of a Kinetic Transport Model for the KPP-Fisher Equation

✍ Scribed by Cuesta, Carlota M.; Hittmeir, Sabine; Schmeiser, Christian

Book ID
118198763
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
245 KB
Volume
44
Category
Article
ISSN
0036-1410

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πŸ“œ SIMILAR VOLUMES

An asymptotic solution for traveling wav
An asymptotic solution for traveling waves of a nonlinear-diffusion Fisher's equation
✍ Thomas P. Witelski πŸ“‚ Article πŸ“… 1994 πŸ› Springer 🌐 English βš– 734 KB

We examine traveling-wave solutions for a generalized nonlineardiffusion Fisher equation studied by Hayes [J. Math. Biol. 29, 531-537 (1991)]. The density-dependent diffusion coefficient used is motivated by certain polymer diffusion and population dispersal problems. Approximate solutions are const

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✍ P.M. Jordan; A. Puri πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 760 KB

In this letter, the homogeneous Dirichlet problem involving the N-dimensional Fisher-KPP equation, a reaction-diffusion model which arises in study of population genetics, is investigated for a class of nonlinear polynomial growth laws. Existence and uniqueness conditions for positive (i.e., physica