A special class of lotka–volterra models of bacteria-virus infection networks

Daniel A. Korytowski, Hal Smith

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

We show that the classical Volterra Lyapunov function can be used to obtain useful results for a Lotka–Volterra model of bacteria-virus infection networks. In particular, if a positive equilibrium exists, then it is stable and all positive trajectories are bounded and persistent in the sense that the limit inferior of each component is positive.

Original languageEnglish (US)
Title of host publicationApplied Analysis in Biological and Physical Sciences - ICMBAA 2015
EditorsJim M. Cushing, M. Saleem, Mumtaz Ahmad Khan, M. Merajuddin, H.M. Srivastava
PublisherSpringer New York LLC
Pages113-119
Number of pages7
ISBN (Print)9788132236382
DOIs
StatePublished - 2016
EventInternational Conference on Recent Advances in Mathematical Biology, Analysis and Applications, ICMBAA 2015 - Aligarh, India
Duration: May 25 2016May 29 2016

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume186
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherInternational Conference on Recent Advances in Mathematical Biology, Analysis and Applications, ICMBAA 2015
Country/TerritoryIndia
CityAligarh
Period5/25/165/29/16

Keywords

  • Bacteria
  • Infection network
  • Lotka–Volterra system
  • Virus

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'A special class of lotka–volterra models of bacteria-virus infection networks'. Together they form a unique fingerprint.

Cite this