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• W2076350933 abstract "In this paper we consider a general system of reaction-diffusion equations and introduce a comparison method to obtain qualitative properties of its solutions. The comparison method is applied to study the stability of homogeneous steady states and the asymptotic behavior of the solutions of different systems with a chemotactic term. The theoretical results obtained are slightly modified to be applied to the problems where the systems are coupled in the differentiated terms and / or contain nonlocal terms. We obtain results concerning the global stability of the steady states by comparison with solutions of Ordinary Differential Equations." @default.
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• W2076350933 date "2013-01-01" @default.
• W2076350933 modified "2023-10-14" @default.
• W2076350933 title "On a comparison method to reaction-diffusion systems and its applications to chemotaxis" @default.
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• W2076350933 doi "https://doi.org/10.3934/dcdsb.2013.18.2669" @default.
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