Dynamics of an Infectious Disease Including Ectoparasites, Rodents and Humans

A. Dénes () and G. Röst
Additional contact information
A. Dénes: University of Szeged, Bolyai Institute
G. Röst: University of Szeged, Bolyai Institute

A chapter in Trends in Biomathematics: Modeling, Optimization and Computational Problems, 2018, pp 59-73 from Springer

Abstract: Abstract We present a mathematical model describing the spread of an infectious disease spread by ectoparasites which are harboured by rodents (e.g. plague transmitted by fleas spread by rats). We identify three reproduction numbers for the rodent subsystem and show that these three reproduction numbers completely characterize the global dynamics of this subsystem. Depending on which of the four equilibria of the rodent subsystem is globally attractive, we determine the possible equilibria of the human subsystem and show that one of the equilibria of this subsystem is always globally attractive. Hence we completely describe the global dynamics of the full system.

Keywords: Ectoparasites; Human Subsystem; Global Attractor; Reproduction Number; Infectious Parasites (search for similar items in EconPapers)
Date: 2018
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:978-3-319-91092-5_5

Ordering information: This item can be ordered from
http://www.springer.com/9783319910925

DOI: 10.1007/978-3-319-91092-5_5

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 ().