Coinfection dynamics of two diseases in a single host population

Daozhou Gao, Travis C. Porco, Shigui Ruan

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A susceptible-infectious-susceptible (SIS) epidemic model that describes the coinfection and cotransmission of two infectious diseases spreading through a single population is studied. The host population consists of two subclasses: susceptible and infectious, and the infectious individuals are further divided into three subgroups: those infected by the first agent/pathogen, the second agent/pathogen, and both. The basic reproduction numbers for all cases are derived which completely determine the global stability of the system if the presence of one agent/pathogen does not affect the transmission of the other. When the constraint on the transmissibility of the dually infected hosts is removed, we introduce the invasion reproduction number, compare it with two other types of reproduction number and show the uniform persistence of both diseases under certain conditions. Numerical simulations suggest that the system can display much richer dynamics such as backward bifurcation, bistability and Hopf bifurcation.

Original languageEnglish (US)
Pages (from-to)171-188
Number of pages18
JournalJournal of Mathematical Analysis and Applications
Volume442
Issue number1
DOIs
StatePublished - Oct 1 2016

Fingerprint

Pathogens
Reproduction number
Uniform Persistence
Backward Bifurcation
Basic Reproduction number
Hopf bifurcation
Bifurcation (mathematics)
Bistability
Invasion
Infectious Diseases
Epidemic Model
Global Stability
Hopf Bifurcation
Subgroup
Numerical Simulation
Computer simulation

Keywords

  • Backward bifurcation
  • Bistability
  • Coinfection
  • Hopf bifurcation
  • Invasion reproduction number
  • Uniform persistence

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Coinfection dynamics of two diseases in a single host population. / Gao, Daozhou; Porco, Travis C.; Ruan, Shigui.

In: Journal of Mathematical Analysis and Applications, Vol. 442, No. 1, 01.10.2016, p. 171-188.

Research output: Contribution to journalArticle

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