Analysis of An SEI1I2QRV S Epidemic Infectious Disease Model with Multiple Infection Stages and Virus
DOI:
https://doi.org/10.63682/jns.v14i16S.4735Keywords:
Two phases of infection, Epidemic model, Quarantine, Basic reproduction number, Virus Class, Global stability, Local stabilityAbstract
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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G. P. Sahu, J. dhar, Analysis of an SVEIS epidemic model with par- tial temporary immunity and saturation incidence rate, App. Math. Modelling, 36 (2012), 908-923.
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