Modelos epidemiológicos fracionários: o que se perde, o que se ganha, o que se transforma?
DOI:
https://doi.org/10.5540/03.2021.008.01.0448Palavras-chave:
Modelo SIR, Derivadas Fracionárias, Persistência de CaracterísticasResumo
Buscamos investigar o uso de derivadas fracionárias no modelo SIR, tanto analiticamente quanto por meio de simulações. Nos interessamos pelos questionamentos de persistência de características na transição do modelo inteiro para o fracionário. Em particular, analisamos unidades, conservação da população, a impossibilidade de utilizar a derivada de Riemann-Liouville, cuidados com a não negatividade e a monotonicidade e, finalmente, o ponto de pico e os equilíbrios.
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