Dynamics of vector-borne diseases through the lens of systems incorporating fractional-order derivatives

Urszula Skwara, Dorota Mozyrska, Maira Aguiar and Nico Stollenwerk

Chaos, Solitons & Fractals, 2024, vol. 181, issue C

Abstract: This paper explores the dynamics of vector-borne diseases transmitted by mosquitoes through the lens of systems incorporating fractional-order derivatives. Specifically, we extend the classical SISUV and SIRUV models by introducing fractional-order systems with the Caputo sense derivative. This augmentation introduces memory effects into the modelling process. Our study delves into the local and global stability analyses of both models, providing valuable insights into the dynamics of these diseases. To validate our theoretical results, we conduct numerical simulations confirming the robustness and applicability of the proposed models.

Keywords: Dynamical systems; Fractional derivative; Epidemics; Vector-borne disease; Stability of fractional-order system; Reproduction number; Memory effect (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924001942

DOI: 10.1016/j.chaos.2024.114643

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