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Diffusion-aggregation processes with mono-stable reaction terms

Abstract:

This paper analyses front propagation of the equation vτ = [D(v)vx]x + f(v) τ ≥ 0, x ∈ ℝ, where f is a monostable (i.e. Fisher-type) nonlinear reaction term and D(v) changes its sign once, from positive to negative values, in the interval v ∈ [0,1] where the process is studied. This model equation accounts for simultaneous diffusive and aggregative behaviors of a population dynamic depending on the population density v at time τ and position x. The existence of infinitely many traveling wave ...

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Publication status:
Published

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Publisher copy:
10.3934/dcdsb.2006.6.1175

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume:
6
Issue:
5
Pages:
1175-1189
Publication date:
2006-09-01
DOI:
ISSN:
1531-3492
Source identifiers:
17336
Language:
English
Keywords:
Pubs id:
pubs:17336
UUID:
uuid:3e5f82b7-f123-4de4-83a0-5740ad6c07f4
Local pid:
pubs:17336
Deposit date:
2012-12-19

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