Differential Equations - SIR Model

Thomas J. Pfaff ()
Additional contact information
Thomas J. Pfaff: Ithaca College, Department of Mathematics

Chapter Chapter 26 in Applied Calculus with R, 2023, pp 303-312 from Springer

Abstract: Abstract Epidemiology is the study of the incidence, distribution, and possible control of diseases. In this section we consider a model to understand how a disease moves through a population. We let S(t) be the number of people susceptible to the disease, I(t) be the number of people infected with the disease, and R(t) be the number of people recovered from the disease at time t, which is often days. For now we assume a person can only get the disease once and is then immune to the disease once recovered. We will build a set of differential equations with these three functions to model the spread of a disease through a population.

Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:spr:sprchp:978-3-031-28571-4_26

Ordering information: This item can be ordered from
http://www.springer.com/9783031285714

DOI: 10.1007/978-3-031-28571-4_26

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().