Analysis of two discrete forms of the classic continuous SIR epidemiological model

Córdova–Lepe, Fernando; Gutiérrez, R.; Vilches-Ponce, Karina

doi:10.1080/10236198.2019.1696323

Cited by 5 publications

(2 citation statements)

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“…It turns out the need of the assumption {K k } ∞ 0 ⊂ [0, 1] for the vaccination gain sequence since the daily vaccination (or, in general, the one for the used sampling period in the model parameterization) is proportional to the susceptible subpopulation. Therefore, note that the condition (13) for {S k } ∞ k=0 to be non-increasing requires the necessary condition:…”

Section: Non-negativity Stability and Disease-free Equilibrium Pointmentioning

confidence: 99%

“…Such a subpopulation becomes dynamically coupled to the remaining ones in the model rather than as a specific forcing control [ 9 ]. Other types of epidemic models, such as, for instance, discretized susceptible-infectious-recovered (SIR)-type ones, or susceptible-infectious-susceptible (SIS)-type ones, have been proposed in [ 10 , 11 , 12 , 13 ] and some of the references therein.…”

Section: Introductionmentioning

confidence: 99%

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On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible

et al. 2021

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A new discrete susceptible-exposed-infectious-recovered (SEIR) epidemic model is presented subject to a feedback vaccination effort involving two doses. Both vaccination doses, which are subject to a non-necessarily identical effectiveness, are administrated by respecting a certain mutual delay interval, and their immunity effect is registered after a certain delay since the second dose. The delays and the efficacies of the doses are parameters, which can be fixed in the model for each concrete experimentation. The disease-free equilibrium point is characterized as well as its stability properties, while it is seen that no endemic equilibrium point exists. The exposed subpopulation is supposed to be infective eventually, under a distinct transmission rate of that of the infectious subpopulation. Some simulation examples are presented by using disease parameterizations of the COVID-19 pandemic under vaccination efforts requiring two doses.

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Section: Non-negativity Stability and Disease-free Equilibrium Pointmentioning

confidence: 99%