On avian influenza epidemic models with time delay

Sanhong Liu, Shigui Ruan, Xinan Zhang

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

After the outbreak of the first avian influenza A virus (H5N1) in Hong Kong in 1997, another avian influenza A virus (H7N9) crossed the species barrier in mainland China in 2013 and 2014 and caused more than 400 human cases with a death rate of nearly 40 %. In this paper, we take account of the incubation periods of avian influenza A virus and construct a bird-to-human transmission model with different time delays in the avian and human populations combining the survival probability of the infective avian and human populations at the latent time. By analyzing the dynamical behavior of the model, we obtain a threshold value for the prevalence of avian influenza and investigate local and global asymptotical stability of equilibria of the system.

Original languageEnglish (US)
Pages (from-to)75-82
Number of pages8
JournalTheory in Biosciences
Volume134
Issue number3-4
DOIs
StatePublished - Dec 1 2015

Fingerprint

avian influenza
Influenza in Birds
Influenza
Epidemic Model
Viruses
Influenza A virus
Time Delay
Time delay
Virus
human population
virus
China
Birds
Global Asymptotical Stability
Stability of Equilibria
Survival Probability
Hong Kong
Threshold Value
Dynamical Behavior
Population

Keywords

  • Avian influenza
  • Basic reproduction number
  • Incubation period
  • Local and global asymptotical stability
  • Time delay

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Applied Mathematics
  • Statistics and Probability

Cite this

On avian influenza epidemic models with time delay. / Liu, Sanhong; Ruan, Shigui; Zhang, Xinan.

In: Theory in Biosciences, Vol. 134, No. 3-4, 01.12.2015, p. 75-82.

Research output: Contribution to journalArticle

Liu, Sanhong ; Ruan, Shigui ; Zhang, Xinan. / On avian influenza epidemic models with time delay. In: Theory in Biosciences. 2015 ; Vol. 134, No. 3-4. pp. 75-82.
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