Numerical Solution of an Interval-Based Uncertain SIR (Susceptible-Infected-Recovered) Epidemic Model by Homotopy Analysis Method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F21%3A00557280" target="_blank" >RIV/60162694:G43__/21:00557280 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2075-1680/10/2/114" target="_blank" >https://www.mdpi.com/2075-1680/10/2/114</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/axioms10020114" target="_blank" >10.3390/axioms10020114</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical Solution of an Interval-Based Uncertain SIR (Susceptible-Infected-Recovered) Epidemic Model by Homotopy Analysis Method

Popis výsledku v původním jazyce

This work proposes an interval-based uncertain Susceptible-Infected-Recovered (SIR) epidemic model. The interval model has been numerically solved by the homotopy analysis method (HAM). The SIR epidemic model is proposed and solved under different uncertain intervals by the HAM to obtain the numerical solution of the model. Furthermore, the SIR ODE model was transformed into a stochastic differential equation (SDE) model and the results of the stochastic and deterministic models were compared using numerical simulations. The results obtained were compared with the numerical solution and found to be in good agreement. Finally, various simulations were done to discuss the solution.

Název v anglickém jazyce

Numerical Solution of an Interval-Based Uncertain SIR (Susceptible-Infected-Recovered) Epidemic Model by Homotopy Analysis Method

Popis výsledku anglicky

This work proposes an interval-based uncertain Susceptible-Infected-Recovered (SIR) epidemic model. The interval model has been numerically solved by the homotopy analysis method (HAM). The SIR epidemic model is proposed and solved under different uncertain intervals by the HAM to obtain the numerical solution of the model. Furthermore, the SIR ODE model was transformed into a stochastic differential equation (SDE) model and the results of the stochastic and deterministic models were compared using numerical simulations. The results obtained were compared with the numerical solution and found to be in good agreement. Finally, various simulations were done to discuss the solution.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied 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

AXIOMS

ISSN

2075-1680

e-ISSN

2075-1680

Svazek periodika

10

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

19

Strana od-do

114

Kód UT WoS článku

000665150100001

EID výsledku v databázi Scopus

2-s2.0-85108204511