Literature DB >> 9269738

The dynamics of cocirculating influenza strains conferring partial cross-immunity.

V Andreasen1, J Lin, S A Levin.   

Abstract

We develop a model that describes the dynamics of a finite number of strains that confer partial cross-protection among strains. The immunity structure of the host population is captured by an index-set notation where the index specifies the set of strains to which the host has been exposed. This notation allows us to derive threshold conditions for the invasion of a new strain and to show the existence of an endemic multi-strain equilibrium in a special case. The dynamics of systems consisting of more than two strains can exhibit sustained oscillations caused by an overshoot in the immunity to a specific strain of cross-protection is sufficiently strong.

Mesh:

Year:  1997        PMID: 9269738     DOI: 10.1007/s002850050079

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


  77 in total

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5.  A two-tiered model for simulating the ecological and evolutionary dynamics of rapidly evolving viruses, with an application to influenza.

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7.  From within-host interactions to epidemiological competition: a general model for multiple infections.

Authors:  Mircea T Sofonea; Samuel Alizon; Yannis Michalakis
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2015-08-19       Impact factor: 6.237

8.  Characterizing the symmetric equilibrium of multi-strain host-pathogen systems in the presence of cross immunity.

Authors:  L J Abu-Raddad; N M Ferguson
Journal:  J Math Biol       Date:  2005-03-15       Impact factor: 2.259

9.  Dynamic effects of antibody-dependent enhancement on the fitness of viruses.

Authors:  Derek A T Cummings; Ira B Schwartz; Lora Billings; Leah B Shaw; Donald S Burke
Journal:  Proc Natl Acad Sci U S A       Date:  2005-10-10       Impact factor: 11.205

10.  The impact of cross-immunity, mutation and stochastic extinction on pathogen diversity.

Authors:  Laith J Abu-Raddad; Neil M Ferguson
Journal:  Proc Biol Sci       Date:  2004-12-07       Impact factor: 5.349

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