Fractional calculus modeling of epidemiological problems with spatial structure
DOI:
https://doi.org/10.5902/2179460X90575Keywords:
Multipopulation interaction, Fractional differential equations, Disease outbreaks, SIR modelAbstract
The main objective of this work is to investigate the potential of using fractional calculus to model epidemics in interacting populations. In particular, we study compartmental models of the SIR type, with fractional derivatives, to describe the dynamics of the spatial spread of diseases in populations distributed in networks. In the proposed model, we analyze the existence of fixed points and their stability. To investigate the effects introduced into the dynamics by fractional derivatives, numerical results were obtained and comparisons were made between fractional derivative models and integer derivative models.
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