A class of SIR epidemic model with saturation incidence and age of infection

Ai, Wu; Yuan, Lianhai; Xin-song, Liu; Liu, Kejian

doi:10.1109/snpd.2007.74

Cited by 3 publications

(1 citation statement)

References 13 publications

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“…Diarrheal disease is one of a family of diseases for which infection does not confer lasting immunity. The SIS epidemic is a simple model in which individuals are allowed to return to the susceptible state and has been studied extensively [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of a SIS model with stage structured and distributed maturation delay

Weng

2009

Nonlinear Analysis: Theory, Methods & Applications

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Section: Introductionmentioning

confidence: 99%

Stability analysis of a SIS model with stage structured and distributed maturation delay

Weng

2009

Nonlinear Analysis: Theory, Methods & Applications

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A mathematical model of avian influenza with half-saturated incidence

2013

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The widespread impact of avian influenza viruses not only poses risks to birds, but also to humans. The viruses spread from birds to humans and from human to human In addition, mutation in the primary strain will increase the infectiousness of avian influenza. We developed a mathematical model of avian influenza for both bird and human populations. The effect of half-saturated incidence on transmission dynamics of the disease is investigated. The half-saturation constants determine the levels at which birds and humans contract avian influenza. To prevent the spread of avian influenza, the associated half-saturation constants must be increased, especially the half-saturation constant H m for humans with mutant strain. The quantity H m plays an essential role in determining the basic reproduction number of this model. Furthermore, by decreasing the rate β m at which human-to-human mutant influenza is contracted, an outbreak can be controlled more effectively. To combat the outbreak, we propose both pharmaceutical (vaccination) and non-pharmaceutical (personal protection and isolation) control methods to reduce the transmission of avian influenza. Vaccination and personal protection will decrease β m, while isolation will increase H m. Numerical simulations demonstrate that all proposed control strategies will lead to disease eradication; however, if we only employ vaccination, it will require slightly longer to eradicate the disease than only applying non-pharmaceutical or a combination of pharmaceutical and non-pharmaceutical control methods. In conclusion, it is important to adopt a combination of control methods to fight an avian influenza outbreak.

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A P2P VoD system using dynamic priority

Zhang

Bao

2009

2009 IEEE 9th Malaysia International Conference on Communications (MICC)

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A class of SIR epidemic model with saturation incidence and age of infection

Cited by 3 publications

References 13 publications

Stability analysis of a SIS model with stage structured and distributed maturation delay

Stability analysis of a SIS model with stage structured and distributed maturation delay

A mathematical model of avian influenza with half-saturated incidence

A P2P VoD system using dynamic priority

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