Global Dynamics of SIRS Model with No Full Immunity on Semidirected Networks

Jiawei Huo, Yimin Li and Jing Hua

Mathematical Problems in Engineering, 2019, vol. 2019, 1-14

Abstract:

In this paper, an epidemic model with no full immunity is analyzed on semidirected networks. Directed networks led into previous scale-free networks, and we consider that some infectious diseases do not have full immunity. So we use strong self-protection instead of immunity and establish a semidirected network infectious disease model without full immunity. The basic reproduction number is calculated. If , the disease-free equilibrium is locally and globally asymptotically stable. And the endemic equilibrium is globally asymptotically stable in some condition. A large number of simulation results in this paper verify the correctness of the above conclusions and provide a solution for controlling disease transmission in the future.

Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2019/8792497.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2019/8792497.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8792497

DOI: 10.1155/2019/8792497

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().