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

Autor: Emmanuel A. Bakare, Snehashish Chakraverty, Radovan Potucek
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Axioms, Vol 10, Iss 2, p 114 (2021)
Druh dokumentu: article
ISSN: 2075-1680
DOI: 10.3390/axioms10020114
Popis: 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.
Databáze: Directory of Open Access Journals