Literature DB >> 2307913

Population models for diseases with no recovery.

A Pugliese1.   

Abstract

An S----I epidemic model with a general shape of density-dependent mortality and incidence rate is studied. The asymptotic behaviour is global convergence to an endemic equilibrium, above a threshold, and to a disease-free equilibrium, below the threshold. The effect of vaccination is then examined.

Mesh:

Year:  1990        PMID: 2307913     DOI: 10.1007/bf00171519

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


  8 in total

1.  Models for the spread of universally fatal diseases.

Authors:  F Brauer
Journal:  J Math Biol       Date:  1990       Impact factor: 2.259

2.  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

3.  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

4.  Population biology of infectious diseases: Part I.

Authors:  R M Anderson; R M May
Journal:  Nature       Date:  1979-08-02       Impact factor: 49.962

5.  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

6.  Disease regulation of age-structured host populations.

Authors:  V Andreasen
Journal:  Theor Popul Biol       Date:  1989-10       Impact factor: 1.570

7.  Population dynamics of fox rabies in Europe.

Authors:  R M Anderson; H C Jackson; R M May; A M Smith
Journal:  Nature       Date:  1981-02-26       Impact factor: 49.962

8.  Analysis of a model of a vertically transmitted disease.

Authors:  S Busenberg; K L Cooke; M A Pozio
Journal:  J Math Biol       Date:  1983       Impact factor: 2.259

  8 in total
  8 in total

1.  Competitive exclusion and coexistence for pathogens in an epidemic model with variable population size.

Authors:  Azmy S Ackleh; Linda J S Allen
Journal:  J Math Biol       Date:  2003-05-15       Impact factor: 2.259

2.  Dynamic models of infectious diseases as regulators of population sizes.

Authors:  J Mena-Lorca; H W Hethcote
Journal:  J Math Biol       Date:  1992       Impact factor: 2.259

3.  Disease transmission models with density-dependent demographics.

Authors:  L Q Gao; H W Hethcote
Journal:  J Math Biol       Date:  1992       Impact factor: 2.259

4.  Invasion, persistence and control in epidemic models for plant pathogens: the effect of host demography.

Authors:  Nik J Cunniffe; Christopher A Gilligan
Journal:  J R Soc Interface       Date:  2009-07-22       Impact factor: 4.118

5.  Is more better? Higher sterilization of infected hosts need not result in reduced pest population size.

Authors:  Daniel Maxin; Luděk Berec; Adrienna Bingham; Denali Molitor; Julie Pattyson
Journal:  J Math Biol       Date:  2014-06-15       Impact factor: 2.259

6.  An SIS epidemic model with variable population size and a delay.

Authors:  H W Hethcote; P van den Driessche
Journal:  J Math Biol       Date:  1995       Impact factor: 2.259

7.  Population size dependent incidence in models for diseases without immunity.

Authors:  J Zhou; H W Hethcote
Journal:  J Math Biol       Date:  1994       Impact factor: 2.259

8.  Mathematical Modeling of Viral Zoonoses in Wildlife.

Authors:  L J S Allen; V L Brown; C B Jonsson; S L Klein; S M Laverty; K Magwedere; J C Owen; P van den Driessche
Journal:  Nat Resour Model       Date:  2011-12-30       Impact factor: 1.182

  8 in total

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