Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies

Lan Meng and Wei Zhu

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 200, issue C, 489-503

Abstract: In this paper, a susceptible–exposed–infectious–recovered (SEIR) epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies is presented. According to the properties of nonnegative matrices, the range of basic reproduction number is obtained. Moreover, the stability of disease-free equilibrium is studied. Some numerical simulations are given to validate the theoretical results. The effects of vaccination, quarantine strategies and population migration on disease transmission are also investigated by numerical simulations.

Keywords: SEIR epidemic patch model; Nonlinear incidence rate; Vaccination; Quarantine; Disease-free equilibrium; Basic reproduction number (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:200:y:2022:i:c:p:489-503

DOI: 10.1016/j.matcom.2022.04.027

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