Dynamical analysis of an age-structured SEIR model with relapse

NABTi, Abderrazak

doi:10.1007/s00033-024-02227-6

Cited by 1 publication

(1 citation statement)

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“…This paper discusses the global existence and uniqueness, extinction, and stability of the solution of the general SEIR model after incorporating interference from the transmission function and white noise. Finally, the conclusions of our theorems are verified through numerical simulations, which have certain reference significance for the future research of infectious disease models [28][29][30].…”

Section: Discussionmentioning

confidence: 95%

A Stochastic Semi-Parametric SEIR Model with Infectivity in an Incubation Period

Zhang,

Jin

2024

Mathematics

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This paper introduces stochastic disturbances into a semi-parametric SEIR model with infectivity in an incubation period. The model combines the randomness of disease transmission and the nonlinearity of transmission rate, providing a flexible framework for more accurate description of the process of infectious disease transmission. On the basis of the discussion of the deterministic model, the stochastic semi-parametric SEIR model is studied. Firstly, we use Lyapunov analysis to prove the existence and uniqueness of global positive solutions for the model. Secondly, the conditions for disease extinction are established, and appropriate stochastic Lyapunov functions are constructed to discuss the asymptotic behavior of the model’s solution at the disease-free equilibrium point of the deterministic model. Finally, the specific transmission functions are enumerated, and the accuracy of the results are demonstrated through numerical simulations.

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Section: Discussionmentioning

confidence: 95%