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Analysis of SEIR Epidemic Model Engraft with Incompatible Incidence Rate

A passivity SEIR epidemic model with inconsistent incidence rate embedded with latency period for the imparting dynamics of epidemics is succeed and thoroughly inspected. The problem is constructed by a system of nonlinear ordinary differential equations analyzing the evaluation of susceptible, exposed, infected and removed individuals. The suggested model is established in terms of existence, positivity and boundedness of solutions. Four equilibrium points have been discussed, namely, the disease free equilibrium, endemic equilibrium with respect to strain 1, endemic equilibrium with respect to strain 2 and the terminal endemic equilibrium with respect to both strains. By constructing the suitable stability analysis function the global stability of the disease free equilibrium is proved depending on the basic reproduction number. Furthermore by using other well-known functionals the global stability results of the endemic equilibria are established depending on the strain 1 reproduction number and strain 2 reproduction number. Necessary numerical simulations are performed in order to confirm the theoretical results. Numerical comparison between the model results and clinical data was conducted. The findings of this research includes the model consistence of discordant compartments which are globally asymptotically stable aseptic equilibrium in state have an epidemiological threshold value (also known as basic reproduction rate) less than unity.

Epidemic, Incidence, Asymptotically, Threshold, Basic Reproduction Number

APA Style

Sumit Kumar Banerjee, Boaz Andrews. (2023). Analysis of SEIR Epidemic Model Engraft with Incompatible Incidence Rate. Biomedical Statistics and Informatics, 8(3), 37-41. https://doi.org/10.11648/j.bsi.20230803.11

ACS Style

Sumit Kumar Banerjee; Boaz Andrews. Analysis of SEIR Epidemic Model Engraft with Incompatible Incidence Rate. Biomed. Stat. Inform. 2023, 8(3), 37-41. doi: 10.11648/j.bsi.20230803.11

AMA Style

Sumit Kumar Banerjee, Boaz Andrews. Analysis of SEIR Epidemic Model Engraft with Incompatible Incidence Rate. Biomed Stat Inform. 2023;8(3):37-41. doi: 10.11648/j.bsi.20230803.11

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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