Global Properties of a General Latent Pathogen Dynamics Model with Delayed Pathogenic and Cellular Infections

A. M. Elaiw, A. A. Almatrafi, A. D. Hobiny and K. Hattaf

Discrete Dynamics in Nature and Society, 2019, vol. 2019, 1-18

Abstract:

This paper studies the global dynamics of a general pathogenic infection model with two ways of infections. The effect of antibody immune response is analyzed. We incorporate three discrete time delays and both latently infected cells and actively infected cells. The infection rate and production and clearance/death rates of the cells and pathogens are given by general functions. We determine two threshold parameters to investigate the global stability of three equilibria. We use Lyapunov method to establish the global stability. We support our theoretical results by numerical simulations.

Date: 2019
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2019/9585497.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2019/9585497.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:jnddns:9585497

DOI: 10.1155/2019/9585497

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().