A SIR epidemic model structured by immunological variables

Oscar Angulo, Fabio Milner, Laurentiu Sega

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Standard mathematical models for analyzing the spread of a disease are usually either epidemiological or immunological. The former are mostly ordinary differential equation (ODE)-based models that use classes like susceptibles, recovered, infectives, latently infected, and others to describe the evolution of an epidemic in a population. Some of them also use structure variables, such as size or age. The latter describe the evolution of the immune system/pathogen in the infected host - evolution that usually results in death, recovery or chronic infection. There is valuable insight to be gained from combining these two types of models, as that may lead to a better understanding of the severity of an epidemic. In this article, we propose a new type of model that combines the two by using variables of immunological nature as structure variables for epidemiological models. We prove the well-posedness of the proposed model under some restrictions and conclude with a look at a practical application of the model.

Original languageEnglish (US)
Article number1340013
JournalJournal of Biological Systems
Volume21
Issue number4
DOIs
StatePublished - Dec 1 2013

Fingerprint

Immunological Models
SIR Epidemic Model
SIR
Variable Structure
Immune System
Theoretical Models
Epidemiological Model
Infection
Model
Population
Well-posedness
Immune system
Pathogens
Standard Model
Ordinary differential equation
Ordinary differential equations
Recovery
immune system
Mathematical Model
Restriction

Keywords

  • Epidemic Model
  • Immunological Model
  • PDE

ASJC Scopus subject areas

  • Ecology
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

Cite this

A SIR epidemic model structured by immunological variables. / Angulo, Oscar; Milner, Fabio; Sega, Laurentiu.

In: Journal of Biological Systems, Vol. 21, No. 4, 1340013, 01.12.2013.

Research output: Contribution to journalArticle

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