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

1 Citation (Scopus)

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
PublisherSpringer New York LLC
Pages113-119
Number of pages7
Volume186
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

Other

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

Fingerprint

Lotka-Volterra Model
Volterra
Bacteria
Lyapunov Function
Virus
Infection
Trajectory
Class

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Korytowski, D. A., & Smith, H. (2016). A special class of lotka–volterra models of bacteria-virus infection networks. In Applied Analysis in Biological and Physical Sciences - ICMBAA 2015 (Vol. 186, pp. 113-119). Springer New York LLC. https://doi.org/10.1007/978-81-322-3640-5_7

A special class of lotka–volterra models of bacteria-virus infection networks. / Korytowski, Daniel A.; Smith, Hal.

Applied Analysis in Biological and Physical Sciences - ICMBAA 2015. Vol. 186 Springer New York LLC, 2016. p. 113-119.

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

Korytowski, DA & Smith, H 2016, A special class of lotka–volterra models of bacteria-virus infection networks. in Applied Analysis in Biological and Physical Sciences - ICMBAA 2015. vol. 186, Springer New York LLC, pp. 113-119, International Conference on Recent Advances in Mathematical Biology, Analysis and Applications, ICMBAA 2015, Aligarh, India, 5/25/16. https://doi.org/10.1007/978-81-322-3640-5_7
Korytowski DA, Smith H. A special class of lotka–volterra models of bacteria-virus infection networks. In Applied Analysis in Biological and Physical Sciences - ICMBAA 2015. Vol. 186. Springer New York LLC. 2016. p. 113-119 https://doi.org/10.1007/978-81-322-3640-5_7
Korytowski, Daniel A. ; Smith, Hal. / A special class of lotka–volterra models of bacteria-virus infection networks. Applied Analysis in Biological and Physical Sciences - ICMBAA 2015. Vol. 186 Springer New York LLC, 2016. pp. 113-119
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