DYNAMICS OF A STOCHASTIC SIR MODEL WITH BOTH HORIZONTAL AND VERTICAL TRANSMISSION | Zendy

Anqi Miao | Zendy; Tongqian Zhang | Zendy; Jian Zhang | Zendy; Chaoyang Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

DYNAMICS OF A STOCHASTIC SIR MODEL WITH BOTH HORIZONTAL AND VERTICAL TRANSMISSION

Author(s) -

Anqi Miao,

Tongqian Zhang,

Jian Zhang,

Chaoyang Wang

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1108

Subject(s) - epidemic model , statistical physics , stochastic differential equation , noise (video) , stochastic modelling , basic reproduction number , perturbation (astronomy) , extinction (optical mineralogy) , deterministic system (philosophy) , transmission (telecommunications) , mathematics , computer science , physics , statistics , population , telecommunications , demography , quantum mechanics , artificial intelligence , sociology , optics , image (mathematics)

A stochastic mathematical model with both horizontal and vertical transmission is proposed to investigate the dynamical behavior of SIR disease. By employing theories of stochastic differential equation and inequality techniques, the threshold associating on extinction and persistence of infectious diseases is deduced for the case of the small noise. Our results show that the threshold completely depends on the stochastic perturbation and the basic reproductive number of the corresponding deterministic model. Moreover, we find that large noise is conducive to control the spread of diseases and the persistent disease in deterministic model may eliminate ultimately due to the effect of large noise. Finally, numerical simulations are performed to illustrate the theoretical results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research