| Abstract: |
| We investigate the role of taxis mechanisms in eco-epidemiological systems, i.e., models that integrate both ecological interactions and disease dynamics. The inclusion of taxis makes the model more nuanced but introduces significant analytical challenges by imparting a cross-diffusive structure. The mathematical analysis is carried out through the development of an energy-based argument, similar to that for the chemotaxis Keller-Segel system, and we demonstrate that it can be adapted to this broader framework. By exploiting the underlying energy structure, we establish global existence and boundedness of solutions under certain spatial and parametric restrictions. These results highlight the efficacy of energy-like approaches in handling complex coupled systems arising in mathematical biology. |
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