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| We are concerned with the global existence of solutions to a parabolic-parabolic chemotaxis system with growth in a smooth bounded domain in $R^n$. Our aim is to show a sufficient condition, in particular, some relations between the orders of degradation and secretion, for global existence. In this talk we will review the result of the case where $n=2$ and 3(DCDS-B, special issue on chemotaxis, 2013), including the existence of attractors. We will discuss also the higher dimensional cases. |
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