Literature DB >> 1640184

A threshold result for an epidemiological model.

X Lin1, P van den Driessche.   

Abstract

A threshold parameter R0 is identified for an SIRS epidemiological model which has nonlinear incidence and a distributed delay for transfer out of the removed class. For R0 less than 1, the disease free equilibrium is proved to be the global attractor for all solutions.

Mesh：

Year:  1992        PMID： 1640184

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


  7 in total

1.  Some epidemiological models with nonlinear incidence.

Authors:  H W Hethcote; P van den Driessche
Journal:  J Math Biol       Date:  1991       Impact factor: 2.259

2.  On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations.

Authors:  O Diekmann; J A Heesterbeek; J A Metz
Journal:  J Math Biol       Date:  1990       Impact factor: 2.259

3.  Qualitative analysis of an HIV transmission model.

Authors:  X Lin
Journal:  Math Biosci       Date:  1991-04       Impact factor: 2.144

4.  On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 1: Single population models.

Authors:  C Castillo-Chavez; K Cooke; W Huang; S A Levin
Journal:  J Math Biol       Date:  1989       Impact factor: 2.259

5.  An epidemiological model with a delay and a nonlinear incidence rate.

Authors:  H W Hethcote; M A Lewis; P van den Driessche
Journal:  J Math Biol       Date:  1989       Impact factor: 2.259

6.  Dynamical behavior of epidemiological models with nonlinear incidence rates.

Authors:  W M Liu; H W Hethcote; S A Levin
Journal:  J Math Biol       Date:  1987       Impact factor: 2.259

7.  Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models.

Authors:  W M Liu; S A Levin; Y Iwasa
Journal:  J Math Biol       Date:  1986       Impact factor: 2.259
  7 in total
  1 in total

1.  Pig trade networks through live pig markets in Guangdong Province, China.

Authors:  Yin Li; Baoxu Huang; Chaojian Shen; Chang Cai; Youming Wang; John Edwards; Guihong Zhang; Ian D Robertson
Journal:  Transbound Emerg Dis       Date:  2020-01-13       Impact factor: 4.521
  1 in total

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