The dynamics of a time delayed epidemic model on a population with birth pulse

Meihong Qiao, Anping Liu and Fory’s, Urszula

Applied Mathematics and Computation, 2015, vol. 252, issue C, 166-174

Abstract: An epidemic model with time delay and impulse is proposed to describe if time delay plays an important role in the spread of an infectious disease. Mathematical analyses with regard to the local, global stability of equilibrium are performed. We give out the conditions for global attractivity of the disease-free equilibrium and permanence of the system, respectively.

Keywords: Infectious disease; Time delay; Impulse; Global stability; Permanence (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:252:y:2015:i:c:p:166-174

DOI: 10.1016/j.amc.2014.12.022

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