Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F21%3AA0000095" target="_blank" >RIV/47813059:19610/21:A0000095 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007%2Fs00285-021-01629-8" target="_blank" >https://link.springer.com/article/10.1007%2Fs00285-021-01629-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00285-021-01629-8" target="_blank" >10.1007/s00285-021-01629-8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator

Popis výsledku v původním jazyce

We study global dynamics of an SIR model with vaccination, where we assume that individuals respond differently to dynamics of the epidemic. Their heterogeneous response is modeled by the Preisach hysteresis operator. We present a condition for the global stability of the infection-free equilibrium state. If this condition does not hold true, the model has a connected set of endemic equilibrium states characterized by different proportion of infected and immune individuals. In this case, we show that every trajectory converges either to an endemic equilibrium or to a periodic orbit. Under additional natural assumptions, the periodic attractor is excluded, and we guarantee the convergence of each trajectory to an endemic equilibrium state. The global stability analysis uses a family of Lyapunov functions corresponding to the family of branches of the hysteresis operator.

Název v anglickém jazyce

Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator

Popis výsledku anglicky

We study global dynamics of an SIR model with vaccination, where we assume that individuals respond differently to dynamics of the epidemic. Their heterogeneous response is modeled by the Preisach hysteresis operator. We present a condition for the global stability of the infection-free equilibrium state. If this condition does not hold true, the model has a connected set of endemic equilibrium states characterized by different proportion of infected and immune individuals. In this case, we show that every trajectory converges either to an endemic equilibrium or to a periodic orbit. Under additional natural assumptions, the periodic attractor is excluded, and we guarantee the convergence of each trajectory to an endemic equilibrium state. The global stability analysis uses a family of Lyapunov functions corresponding to the family of branches of the hysteresis operator.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Mathematical Biology

ISSN

0303-6812

e-ISSN

1432-1416

Svazek periodika

83

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

34

Strana od-do

„11-1“-„11-34“

Kód UT WoS článku

000669407800001

EID výsledku v databázi Scopus

2-s2.0-85104119078