Do some chemotaxis-growth models possess Lyapunov functionals?

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• 作者：Dirk Horstmann ^{dhorst@math.uni-koeln.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Lyapunov functional ; Cross-diffusion systems ; Non-diffusive memory ; Chemotaxis ; Othmer&ndash ; Stevens model
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：53
• 期：Complete
• 页码：107-111
• 全文大小：594 K

文摘

In spirit of a result by W. Alt from 1980 we give some sufficient criteria that guarantee the existence of Lyapunov functionals for parabolic cross-diffusion models including chemotaxis-growth models with non-diffusive chemotactic signals (resp. with non-diffusive memory).