| Abstract: |
| This talk focuses on a Keller-Segel chemotaxis system involving indirect signal production, which models the impact of phenotypic heterogeneity on population aggregation. The system exhibits a four-dimensional critical mass phenomenon, resulting in unbounded solutions, as first explored in the seminal works of Fujie and Senba (2017, 2019). Building upon this foundation, our recent research establishes the existence of solutions that explode in finite time, thereby providing a more complete picture of singularity formation and offering new insights into the dynamic behavior of population aggregation in the presence of indirect signal production. |
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