Mathematical analysis of deterministic and stochastic SIQRS models

Yujie Cheng

doi:10.1117/12.2692015

23 August 2023 Mathematical analysis of deterministic and stochastic SIQRS models

Yujie Cheng

Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 1278406 (2023) https://doi.org/10.1117/12.2692015
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China

Abstract

Considering the mobility of the population during epidemic transmission and the fact that some epidemics are lethal and recovered individuals do not have lifelong immunity, this paper established a susceptible-infected-quarantined-recoveredsusceptible (SIQRS) model and derives the basic regeneration number R₀ of the deterministic SIQRS model. Next, the effect of stochastic factors is considered, the transmission rate β₁ is changed to β₁ + σB(t), the model is extended to a stochastic SIQRS model, and conditions for disease extinction and persistence are given. Finally, numerical simulations are performed to verify the theorems of the deterministic and stochastic models.

Citation Download Citation

Yujie Cheng "Mathematical analysis of deterministic and stochastic SIQRS models", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 1278406 (23 August 2023); https://doi.org/10.1117/12.2692015

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available