Mathematical epidemic model having two latent stages of exposed individuals
DOI:
https://doi.org/10.65112/tcmis.10045Keywords:
Susceptible, basic reproduction number, infected, local stability, uniform permanence,Abstract
In this paper, a five-dimensional SEIR system is investigated in which the exposed individuals are divided into two class of different stages. The first stage of exposed individuals proposed in the model represents individuals exhibiting early latent stage, however, second stage of infected individuals have long-term latent infection. In this study, after proposing the model, we analyse the basic reproduction number, identify the system's steady states, and investigate their local stability as well as global stability. These theoretical results are further verified by numerical simulations. Finally, we explore the biological significance of the findings, emphasizing their complex and potential implications.
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