Stability and computational analysis of Influenza-A epidemic model through double time delay

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10256377" target="_blank" >RIV/61989100:27740/25:10256377 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S1110016824011128" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1110016824011128</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aej.2024.09.098" target="_blank" >10.1016/j.aej.2024.09.098</a>

Result language

angličtina

Original language name

Stability and computational analysis of Influenza-A epidemic model through double time delay

Original language description

Delay factors demonstration has a significant role in controlling a strain of infectious disease instead of a pharmaceutical strategy. According to the World Health Organization (WHO), 3-5 million cases are reported annually and approximately 290,000 to 650,000 respiratory deaths annually. So, in the present study, we develop a delayed mathematical model based on delay differential equations (DDEs) for the influenza epidemic using a deterministic approach by introducing double delay parameters. The four distinct sub-populations are considered susceptible, exposed, infected, and recovered. For the rigorous analysis, the fundamental properties of the model like positivity, boundedness, existence, and uniqueness, were studied. The influenza-free equilibrium (IFE) and influenza-existing equilibrium (IEE), are the two nonnegative equilibrium points that the model demonstrates. Both locally and globally, the asymptotic stability of the equilibrium points of the model is established and shown under specific situations of reproduction number. Additionally, investigated the model&apos;s parameter sensitivity and determined the relative sensitivity of each parameter. Both standard and nonstandard methods-such as Euler, Runge-Kutta, and nonstandard finite difference with a delayed sense-are presented to make computational analysis support a dynamical analysis and the best visualization of results. The stability of the non-standard finite difference scheme is thoroughly analyzed around the steady states of the model. Additionally, the results show that the nonstandard finite difference approximation is an efficient, cost-effective method, independent of time step size, to solve such highly nonlinear and complex real-world problems.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

21100 - Other engineering and technologies

Project

—

Continuities

O - Projekt operacniho programu

Publication year

2025

Confidentiality

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

Name of the periodical

Alexandria Engineering Journal

ISSN

1110-0168

e-ISSN

2090-2670

Volume of the periodical

110

Issue of the periodical within the volume

January

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

13

Pages from-to

64-76

UT code for WoS article

001336247300001

EID of the result in the Scopus database

2-s2.0-85205571867