| Abstract: |
| This talk is concerned with a model for tuberculosis granuloma formation proposed by Feng (2024). In that work, Feng not only introduced the model but also analyzed the corresponding ODE system, showing that the basic reproduction number plays a crucial role in determining the qualitative behavior of solutions. In contrast, for the PDE setting, no analytical results seem to be available so far. The purpose of this talk is to analyze the PDE system and to establish global existence of solutions as well as their grow-up properties.
This talk is based on joint work with Mario Fuest (Leibniz University Hannover), Johannes Lankeit (Leibniz University Hannover), and with Yuya Tanaka (Kwansei Gakuin University). |
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