Mathematical modeling and analysis for controlling the spread of infectious diseases

Swati Tyagi, Subash C. Martha, Syed Abbas and Amar Debbouche

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: In this work, we present and discuss the approaches, that are used for modeling and surveillance of dynamics of infectious diseases by considering the early stage asymptomatic and later stage symptomatic infections. We highlight the conceptual ideas and mathematical tools needed for such infectious disease modeling. We compute the basic reproduction number of the proposed model and investigate the qualitative behaviours of the infectious disease model such as, local and global stability of equilibria for the non-delayed as well as delayed system. At the end, we perform numerical simulations to validate the effectiveness of the derived results.

Keywords: Infectious diseases; Mathematical model; Basic reproduction number; Stability analysis; Lyapunov function; Time delay; Hopf Bifurcation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077921000606

DOI: 10.1016/j.chaos.2021.110707

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