Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions (Q430761)
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scientific article; zbMATH DE number 6050313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions |
scientific article; zbMATH DE number 6050313 |
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Positive solutions of some parabolic system with cross-diffusion and nonlocal initial conditions (English)
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26 June 2012
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The author deals with the positive equilibrium (time-independent) solution of a system consisting of two coupled parabolic equations with cross-diffusion term. The equations arise as steady state equations of an age-structured predator-prey system with spatial dispersion. Based on unilateral global bifurcation methods for Fredholm operators and on maximal regularity for parabolic equations, global bifurcation of positive solutions is derived.
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age structure
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global bifurcation
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Fredholm operator
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maximal regularity
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predator-prey system with spatial dispersion
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