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Literature DB >> 6886570

Multiple stable subharmonics for a periodic epidemic model.

Abstract

The S leads to I leads to R epidemic model of K. Dietz with annual oscillation in the contact rate is shown to have multiple stable subharmonic solutions of different integral year periods.

Mesh：

Year: 1983 PMID： 6886570 DOI： 10.1007/bf00305758

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

4 in total

1. Recurrent outbreaks of measles, chickenpox and mumps. I. Seasonal variation in contact rates.

Authors: W P London; J A Yorke
Journal: Am J Epidemiol Date: 1973-12 Impact factor: 4.897

2. Subharmonic bifurcation in an S-I-R epidemic model.

Authors: H L Smith
Journal: J Math Biol Date: 1983 Impact factor: 2.259

3. Oscillatory phenomena in a model of infectious diseases.

Authors: Z Grossman
Journal: Theor Popul Biol Date: 1980-10 Impact factor: 1.570

4. Directly transmitted infections diseases: control by vaccination.

Authors: R M Anderson; R M May
Journal: Science Date: 1982-02-26 Impact factor: 47.728

4 in total

8 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. Persistence in seasonally forced epidemiological models.

Authors: Carlota Rebelo; Alessandro Margheri; Nicolas Bacaër
Journal: J Math Biol Date: 2011-06-08 Impact factor: 2.259

3. Seasonal dynamics in an SIR epidemic system.

Authors: E Augeraud-Véron; N Sari
Journal: J Math Biol Date: 2013-02-13 Impact factor: 2.259

4. Modeling seasonal rabies epidemics in China.

Authors: Juan Zhang; Zhen Jin; Gui-Quan Sun; Xiang-Dong Sun; Shigui Ruan
Journal: Bull Math Biol Date: 2012-03-01 Impact factor: 1.758

5. Infinite subharmonic bifurcation in an SEIR epidemic model.

Authors: I B Schwartz; H L Smith
Journal: J Math Biol Date: 1983 Impact factor: 2.259

6. Bifurcation analysis pf periodic SEIR and SIR epidemic models.

Authors: Y A Kuznetsov; C Piccardi
Journal: J Math Biol Date: 1994 Impact factor: 2.259

7. Subharmonic bifurcation in an S-I-R epidemic model.

Authors: H L Smith
Journal: J Math Biol Date: 1983 Impact factor: 2.259

8. Positive periodic solutions of an epidemic model with seasonality.

Authors: Gui-Quan Sun; Zhenguo Bai; Zi-Ke Zhang; Tao Zhou; Zhen Jin
Journal: ScientificWorldJournal Date: 2013-11-10

8 in total