Bifurcation analysis in a discrete SIR epidemic model with the saturated contact rate and vertical transmission | Zendy

Wenju Du | Zendy; Jiangang Zhang | Zendy; Shuang Qin | Zendy; Jianning Yu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Bifurcation analysis in a discrete SIR epidemic model with the saturated contact rate and vertical transmission

Author(s) -

Wenju Du,

Jiangang Zhang,

Shuang Qin,

Jianning Yu

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.07.02

Subject(s) - mathematics , epidemic model , bifurcation , transmission (telecommunications) , demography , physics , computer science , nonlinear system , population , telecommunications , quantum mechanics , sociology

The aim of paper is dealing with the dynamical behaviors of a discrete SIR epidemic model with the saturated contact rate and vertical transmission. More precisely, we investigate the local stability of equilibriums, the existence, stability and direction of flip bifurcation and Neimark-Sacker bifurcation of the model by using the center manifold theory and normal form method. Finally, the numerical simulations are provided for justifying the validity of the theoretical analysis. c ©2016 All rights reserved.

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