Literature DB >> 19865602

TIME DELAY SYSTEMS WITH DISTRIBUTION DEPENDENT DYNAMICS.

H T Banks1, Sava Dediu, Hoan K Nguyen.   

Abstract

General delay dynamical systems in which uncertainty is present in the form of probability measure dependent dynamics are considered. Several motivating examples arising in biology are discussed. A functional analytic framework for investigating well-posedness (existence, uniqueness and continuous dependence of solutions), inverse problems, sensitivity analysis and approximations of the measures for computational purposes is surveyed.

Year:  2007        PMID: 19865602      PMCID: PMC2768323          DOI: 10.1016/j.arcontrol.2007.02.002

Source DB:  PubMed          Journal:  Annu Rev Control        ISSN: 1367-5788            Impact factor:   6.091


  6 in total

1.  Incorporation of variability into the modeling of viral delays in HIV infection dynamics.

Authors:  H T Banks; D M Bortz; S E Holte
Journal:  Math Biosci       Date:  2003-05       Impact factor: 2.144

2.  Modeling shrimp biomass and viral infection for production of biological countermeasures.

Authors:  H T Banks; V A Bokil; Shuhua Hu; A K Dhar; R A Bullis; C L Browdy; F C T Allnutt
Journal:  Math Biosci Eng       Date:  2006-10       Impact factor: 2.080

3.  A parameter sensitivity methodology in the context of HIV delay equation models.

Authors:  H T Banks; D M Bortz
Journal:  J Math Biol       Date:  2004-12-20       Impact factor: 2.259

4.  Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space.

Authors:  H T Banks; S Dediu; H K Nguyen
Journal:  Math Biosci Eng       Date:  2007-07       Impact factor: 2.080

5.  A model of Taura syndrome virus (TSV) epidemics in Litopenaeus vannamei.

Authors:  Jeffrey M Lotz; Anne Marie Flowers; Verlee Breland
Journal:  J Invertebr Pathol       Date:  2003-06       Impact factor: 2.841

Review 6.  Genomic organization, biology, and diagnosis of Taura syndrome virus and yellowhead virus of penaeid shrimp.

Authors:  Arun K Dhar; Jeff A Cowley; Kenneth W Hasson; Peter J Walker
Journal:  Adv Virus Res       Date:  2004       Impact factor: 9.937

  6 in total

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