Analysis of An SEI1I2QRV S Epidemic Infectious Disease Model with Multiple Infection Stages and Virus

In this study, we propose an SEI1I2QRV Smodel for epidemic infec- tious diseases, which simulates the process of virus transmission. The model demonstrates how the virus impacts individuals who are infected. It is a well-established fact that the spread of infectious diseases can contribute to the proliferation of the virus within a susceptible population. One method of managing infectious diseases is to raise the virus-related fatality rate. In order to explain the virus’s growth and decline rates in the susceptible pop- ulation, the suggested model will be examined. We investigate the dynamic behaviour inside the model’s framework. It is shown that the model has two equilibrium points: a disease-free equilibrium (DFE) and an endemic equi- librium (EE). According to our results, the basic reproduction number, or R0, has a major impact on the model’s dynamics. When R0 < 1, the DFE is asymptotically stable both globally and locally under specific conditions. On the other hand, if R0 > 1, the internal equilibrium is asymptotically stable both globally and locally. Finally, we evaluate our analytical results by numerical simulations utilizing biologically relevant parameter values

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Publication Details

Journal
Journal of Neonatal Surgery
Published
2025-04-26
DOI
https://doi.org/10.63682/jns.v14i16s.4735
Primary Topic
Animal Virus Infections Studies
Type
article
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article

Analysis of An SEI1I2QRV S Epidemic Infectious Disease Model with Multiple Infection Stages and Virus

Joydip Dhar, Nimisha Mishra, Smriti Agrawal
Journal of Neonatal Surgery
Animal Virus Infections Studies
article

Analysis of An SEI1I2QRV S Epidemic Infectious Disease Model with Multiple Infection Stages and Virus

Joydip Dhar, Nimisha Mishra, Smriti Agrawal
article en

Abstract

In this study, we propose an SEI1I2QRV Smodel for epidemic infec- tious diseases, which simulates the process of virus transmission. The model demonstrates how the virus impacts individuals who are infected. It is a well-established fact that the spread of infectious diseases can contribute to the proliferation of the virus within a susceptible population. One method of managing infectious diseases is to raise the virus-related fatality rate. In order to explain the virus’s growth and decline rates in the susceptible pop- ulation, the suggested model will be examined. We investigate the dynamic behaviour inside the model’s framework. It is shown that the model has two equilibrium points: a disease-free equilibrium (DFE) and an endemic equi- librium (EE). According to our results, the basic reproduction number, or R0, has a major impact on the model’s dynamics. When R0 < 1, the DFE is asymptotically stable both globally and locally under specific conditions. On the other hand, if R0 > 1, the internal equilibrium is asymptotically stable both globally and locally. Finally, we evaluate our analytical results by numerical simulations utilizing biologically relevant parameter values

Journal of Neonatal SurgeryVol. 14(16S)
Openalex Percentile: Top 85%
Animal Virus Infections Studies
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Analysis of An SEI1I2QRV S Epidemic Infectious Disease Model with Multiple Infection Stages and Virus — Joydip Dhar, Nimisha Mishra, et al. · Journal of Neonatal Surgery (2025) | TGRS Research Map | TGRS