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On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
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Christoph Walker
Veröffentlicht/Copyright:
14. April 2011
Abstract
The paper focuses on positive solutions to a coupled system of parabolic equations with nonlocal initial conditions. Such equations arise as steady-state equations in an age-structured predator-prey model with diffusion. By using global bifurcation techniques, we describe the structure of the set of positive solutions with respect to two parameters measuring the intensities of the fertility of the species. In particular, we establish co-existence steady-states, i.e. solutions which are nonnegative and nontrivial in both components.
Received: 2010-04-01
Revised: 2010-04-30
Published Online: 2011-04-14
Published in Print: 2011-November
© Walter de Gruyter Berlin · New York 2011
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Artikel in diesem Heft
- Serre weights for mod p Hilbert modular forms: the totally ramified case
- On the regulator of Fermat motives and generalized hypergeometric functions
- Badly approximable systems of affine forms, fractals, and Schmidt games
- A continuum version of the Kunz–Souillard approach to localization in one dimension
- The Bohr radius of the unit ball of
- On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
- The rigidity of embedded constant mean curvature surfaces
- Isothermic submanifolds of symmetric R-spaces
