A mathematical model of mobility-related infection and vaccination in an epidemiological case.

Publication date: Jul 10, 2024

In this study, we established a system of differential equations with piecewise constant arguments to explain the impact of epidemiological transmission between different locations. Our main goal is to look into the need for vaccines as well as the necessity of the lockdown period. We proved that keeping social distance was necessary during the pandemic spread to stop transmissions between different locations and that re-vaccinations, including screening tests, were crucial to avoid reinfections. Using the Routh-Hurwitz Criterion, we examined the model’s local stability and demonstrated that the system could experience Stationary and Neimark-Sacker bifurcations depending on certain circumstances.

Concepts Keywords
Biomed Mobility-related infection
Mathematical Neimark-Sacker bifurcations
Pandemic SARS-CoV-2
Stationary Stability
Vaccinations Stationary bifurcation

Semantics

Type Source Name
disease MESH infection
disease VO vaccination
disease MESH reinfections

Original Article

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