a weak comparison principle for reaction-diffusion systems
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ID: 143662
2012
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Abstract
We prove a weak comparison principle for a reaction-diffusion system without uniqueness of solutions. We apply the abstract results to the Lotka-Volterra system with diffusion, a generalized logistic equation, and to a model of fractional-order chemical autocatalysis with decay. Moreover, in the case of the Lotka-Volterra system a weak maximum principle is given, and a suitable estimate in the space of essentially bounded functions L∞
is proved for at least one solution of the problem.
| Reference Key |
valero2012journala
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|---|---|
| Authors | ;José Valero |
| Journal | Journal of sex research |
| Year | 2012 |
| DOI |
10.1155/2012/679465
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| URL | |
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