Dynamic Systems with Fractional Derivatives Applied to Interagent Populations Problems

Authors

  • C. A. Tavares Universidade Federal do Rio Grande - FURG
  • M. J. Lazo

DOI:

https://doi.org/10.5540/tcam.2022.023.02.00299

Keywords:

Population Dynamics, Fractional Differential Equations, SIRD model, Coronavirus (COVID-19).

Abstract

The present work has as main objective to investigate the use of fractional calculus in the modeling of epidemic outbreaks of interacting populations. In particular, we propose a generalization of the SIR model with fractional derivatives to describe the dynamics of the COVID-19 epidemic outbreak in two cities with interacting populations. In special, we consider the dynamics of COVID-19 in the municipalities of Pelotas and Rio Grande, which are neighboring cities and are relatively geographically isolated from the  rest of the state of Rio Grande do Sul.

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Published

2022-06-27

How to Cite

Tavares, C. A., & Lazo, M. J. (2022). Dynamic Systems with Fractional Derivatives Applied to Interagent Populations Problems. Trends in Computational and Applied Mathematics, 23(2), 299–314. https://doi.org/10.5540/tcam.2022.023.02.00299

Issue

Vol. 23 No. 2 (2022)

Section

Original Article

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