Chemotaxis systems in complex frameworks: Pattern formation, qualitative analysis and blowup prevention

Abstract

A presentation of a special issue is delivered by this editorial paper on the derivation and related analytical problems, of cross diffusion models in complex environments. A brief introduction to motivations toward this research topic is presented in the first part. Subsequently, a concise description of the contents follows. Lastly, some ideas on possible research perspectives are proposed mainly focusing on modeling topics.