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The degenerate Keller-Segel type system  is considered in ballswithR  &gt; 0 and  m  &gt; 1. Our main results reveal that throughout the entire degeneracy rangethe interplay between degenerate diffusion and cross-diffusive attraction herein can enforce persistent localization of solutions inside a compact subset of Ω, no matter whether solutions remain bounded or blow up. More precisely, it is shown that for arbitraryandone can findsuch that ifandis nonnegative and radially symmetric withand  then a corresponding zero-flux type initial-boundary value problem admits a radial weak solution ( u ,  v ), extensible up to a maximal timeand satisfyingifwhich has the additional property that  In particular, this conclusion is seen to be valid whenever  u0  is radially nonincreasing with

Taxis-driven persistent localization in a degenerate Keller-Segel system