Predatorprey and epidemiology models using transport equations
04/07/2024 Thursday 4th July 2024, 15:00 (Room P4.35, Mathematics Building)
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Paulo Amorim, Escola de Matemática Aplicada, Fundação Getúlio Vargas  FGV EMAp, Rio de Janeiro
I will present some models in ecology and epidemiology using a transport equation approach, so called structured models. The first models are of predatorprey type and include a variable hunger structure. They take the form of nonlocal transport equations coupled to ODEs. Then, we use a similar approach in an epidemiological model including disease awareness and variable susceptibility. We show wellposedness results, asymptotic behavior, and numerical simulations. This is joint work with C. Rebelo, A. Margheri, and P. Lafargeas.
