Influence of Transfer Epidemiological Processes on the Formation of Endemic Equilibria in the Extended SEIS Model

Alexander R. Karimov (), Michael A. Solomatin and Alexey N. Bocharov
Additional contact information
Alexander R. Karimov: Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya St. 13 Bd.2, Moscow 125412, Russia
Michael A. Solomatin: Department of Electrophysical Installations, Institute of Nuclear Physics, National Research Nuclear University MEPhI, Kashirskoye Shosse 31, Moscow 115409, Russia
Alexey N. Bocharov: Joint Institute for High Temperatures, Russian Academy of Sciences, Izhorskaya St. 13 Bd.2, Moscow 125412, Russia

Mathematics, 2024, vol. 12, issue 22, 1-18

Abstract: In the present paper, a modification of the standard mean-field model is considered, allowing for the description of the formation of a dynamic equilibrium between infected and recovered persons in a population of constant size. The key point of this model is that it highlights two-infection transfer mechanisms depending on the physical nature of the contact between people. We separate the transfer mechanism related directly to the movement of people (the so-called transport processes) from the one occurring at zero relative speed of persons (the so-called social contacts). Under the framework of a physical chemical analogy, the dependencies for the infection transfer rate constants are proposed for both purely transport and social mechanisms of spread. These dependencies are used in discussing the formation of quasi-stationary states in the model, which can be interpreted as endemic equilibrium states. The stability of such endemic equilibria is studied by the method of Lyapunov function.

Keywords: SEIR model; endemic equilibrium; infection transmission rate constant; Lyapunov function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/22/3585/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/22/3585/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:22:p:3585-:d:1522127

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().