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Literature DB >> 17557184

On a nonautonomous SEIRS model in epidemiology.

Abstract

In this paper, we derive some threshold conditions for permanence and extinction of diseases that can be described by a nonautonomous SEIRS epidemic model. Under the quite weak assumptions, we establish some sufficient conditions to prove the permanence and extinction of disease. Some new threshold values are determined.

Mesh：

Year: 2007 PMID： 17557184 DOI： 10.1007/s11538-007-9231-z

Source DB: PubMed Journal: Bull Math Biol ISSN： 0092-8240 Impact factor: 1.758

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Cited

11 in total

1. Resonance of the epidemic threshold in a periodic environment.

Authors: Nicolas Bacaër; Xamxinur Abdurahman
Journal: J Math Biol Date: 2008-05-07 Impact factor: 2.259

2. A periodic SEIRS epidemic model with a time-dependent latent period.

Authors: Fuxiang Li; Xiao-Qiang Zhao
Journal: J Math Biol Date: 2019-01-04 Impact factor: 2.259

3. Threshold virus dynamics with impulsive antiretroviral drug effects.

Authors: Jie Lou; Yijun Lou; Jianhong Wu
Journal: J Math Biol Date: 2011-10-11 Impact factor: 2.259

4. A periodic disease transmission model with asymptomatic carriage and latency periods.

Authors: Isam Al-Darabsah; Yuan Yuan
Journal: J Math Biol Date: 2017-12-22 Impact factor: 2.259

5. A PERIODIC ROSS-MACDONALD MODEL IN A PATCHY ENVIRONMENT.

Authors: Daozhou Gao; Yijun Lou; Shigui Ruan
Journal: Discrete Continuous Dyn Syst Ser B Date: 2014-12-01 Impact factor: 1.327

6. Application of a hybrid method combining grey model and back propagation artificial neural networks to forecast hepatitis B in china.

Authors: Ruijing Gan; Xiaojun Chen; Yu Yan; Daizheng Huang
Journal: Comput Math Methods Med Date: 2015-02-26 Impact factor: 2.238

On a nonautonomous SEIRS model in epidemiology.

1. Resonance of the epidemic threshold in a periodic environment.

2. A periodic SEIRS epidemic model with a time-dependent latent period.

3. Threshold virus dynamics with impulsive antiretroviral drug effects.

4. A periodic disease transmission model with asymptomatic carriage and latency periods.

5. A PERIODIC ROSS-MACDONALD MODEL IN A PATCHY ENVIRONMENT.

6. Application of a hybrid method combining grey model and back propagation artificial neural networks to forecast hepatitis B in china.

7. Analysis of a New Delayed HBV Model with Exposed State and Immune Response to Infected Cells and Viruses.

8. Parameter identification for a stochastic SEIRS epidemic model: case study influenza.

9. Global stability analysis of SEIR model with holling type II incidence function.

10. Modeling the Parasitic Filariasis Spread by Mosquito in Periodic Environment.