A stochastic differential equation SIS epidemic model with two correlated Brownian motions

Cai, Siyang and Cai, Yongmei and Mao, Xuerong (2019) A stochastic differential equation SIS epidemic model with two correlated Brownian motions. Nonlinear Dynamics, 97 (4). pp. 2175-2187. ISSN 0924-090X (https://doi.org/10.1007/s11071-019-05114-2)

[thumbnail of Cai-etal-Nonlinear-Dynamics-2019-Stochastic differential-equation-SIS-epidemic-model-with-two-correlated-brownian-motions]
Preview
 Text. Filename: Cai_etal_Nonlinear_Dynamics_2019_Stochastic_differential_equation_SIS_epidemic_model_with_two_correlated_brownian_motions.pdf
Final Published Version
License: Creative Commons Attribution 4.0 logo
Download (1MB)| Preview

Abstract

In this paper, we introduce two perturbations in the classical deterministic susceptible-infected-susceptible epidemic model with two correlated Brownian Motions. We consider two perturbations in the deterministic SIS model and formulate the original model as a stochastic differential equation (SDE) with two correlated Brownian Motions for the number of infected population, based on previous work from Gray et al. in 2011 and Hening’s work in 2017. Conditions for the solution to become extinction and persistence are then stated, followed by computer simulation to illustrate the results.

ORCID iDs

Cai, Siyang ORCID logoORCID: https://orcid.org/0000-0002-8959-599X, Cai, Yongmei ORCID logoORCID: https://orcid.org/0000-0003-4617-5618 and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:68728
    Dates:
    Date
    Event
    30 September 2019
    Published
    8 July 2019
    Published Online
    3 July 2019
    Accepted
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:04 Jul 2019 10:37
    Last modified:11 Nov 2024 12:21
    URI:https://strathprints.strath.ac.uk/id/eprint/68728
CORE (COnnecting REpositories)