Nonlinear Dynamics and Stability Analysis of a Pandemic Model Using Homotopy Perturbation

In this paper, we gave the numerical solution of the various population categories of susceptible, exposed, infected, and recovered (SEIR) mathematical models by using homotopy perturbation method, which is a technique that combines the perturbation and homotopy methods to solve nonlinear problems. Also, we discuss the susceptible population category and explore the graphical solution of all populations (SEIR) using the parameters α and β for both fractional and integer order. In the end, the stability analysis is also shown in the population graphs.

Authors

Institutions

Publication Details

Journal
Critical Reviews in Biomedical Engineering
Published
2025-01-01
DOI
https://doi.org/10.1615/critrevbiomedeng.2025055055
Primary Topic
Mathematical and Theoretical Epidemiology and Ecology Models
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Nonlinear Dynamics and Stability Analysis of a Pandemic Model Using Homotopy Perturbation

Sunıl Dutt Purohıt, Rashid Jan, Man Mohan Singh
Critical Reviews in Biomedical Engineering
Mathematical and Theoretical Epidemiology and Ecology Models
article

Nonlinear Dynamics and Stability Analysis of a Pandemic Model Using Homotopy Perturbation

Sunıl Dutt Purohıt, Rashid Jan, Man Mohan Singh
article en

Abstract

In this paper, we gave the numerical solution of the various population categories of susceptible, exposed, infected, and recovered (SEIR) mathematical models by using homotopy perturbation method, which is a technique that combines the perturbation and homotopy methods to solve nonlinear problems. Also, we discuss the susceptible population category and explore the graphical solution of all populations (SEIR) using the parameters α and β for both fractional and integer order. In the end, the stability analysis is also shown in the population graphs.

Critical Reviews in Biomedical EngineeringVol. 53(3)
Rajasthan Technical University (IN), Manipal University Jaipur, Universiti Tenaga Nasional (MY)
Good health and well-being
Openalex Percentile: Top 91%
Mathematical and Theoretical Epidemiology and Ecology Models
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.