Literature DB >> 31778128

Competitive analysis for stochastic influenza model with constant vaccination strategy.

Dumitru Baleanu1, Ali Raza2, Muhammad Rafiq3, Muhammad Shoaib Arif4, Muhammad Asghar Ali5.   

Abstract

This manuscript discusses a competitive analysis of stochastic influenza model with constant vaccination strategy. The stochastic influenza model is comparatively more pragmatic versus the deterministic influenza model. The effect of influenza generation number holds in the stochastic model. If the value of this number is less than one, this situation will help us to control the disease in a population. A greater than one value of this threshold number shows the persistence of disease to become endemic. The proposed structure for the stochastic influenza model as stochastic non-standard finite difference scheme conserve all vital characteristics like positivity, boundedness and dynamical consistency defined by Mickens.

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Year:  2019        PMID: 31778128      PMCID: PMC8687387          DOI: 10.1049/iet-syb.2019.0065

Source DB:  PubMed          Journal:  IET Syst Biol        ISSN: 1751-8849            Impact factor:   1.615


  11 in total

1.  Comparison of deterministic and stochastic SIS and SIR models in discrete time.

Authors:  L J Allen; A M Burgin
Journal:  Math Biosci       Date:  2000-01       Impact factor: 2.144

2.  A history of influenza.

Authors:  C W Potter
Journal:  J Appl Microbiol       Date:  2001-10       Impact factor: 3.772

3.  The SIRC model and influenza A.

Authors:  Renato Casagrandi; Luca Bolzoni; Simon A Levin; Viggo Andreasen
Journal:  Math Biosci       Date:  2006-02-28       Impact factor: 2.144

4.  Stochastic model of an influenza epidemic with drug resistance.

Authors:  Yaji Xu; Linda J S Allen; Alan S Perelson
Journal:  J Theor Biol       Date:  2007-05-17       Impact factor: 2.691

5.  Stochastic epidemic models: a survey.

Authors:  Tom Britton
Journal:  Math Biosci       Date:  2010-01-25       Impact factor: 2.144

6.  Historical perspective--Emergence of influenza A (H1N1) viruses.

Authors:  Shanta M Zimmer; Donald S Burke
Journal:  N Engl J Med       Date:  2009-06-29       Impact factor: 91.245

7.  Bird flu, influenza and 1918: the case for mutant Avian tuberculosis.

Authors:  Lawrence Broxmeyer
Journal:  Med Hypotheses       Date:  2006-06-27       Impact factor: 1.538

Review 8.  The epidemiology and history of influenza.

Authors:  K Kuszewski; L Brydak
Journal:  Biomed Pharmacother       Date:  2000-05       Impact factor: 6.529

Review 9.  The pathogenesis of influenza in humans.

Authors:  M C Zambon
Journal:  Rev Med Virol       Date:  2001 Jul-Aug       Impact factor: 6.989

10.  Adaptive fractional-order blood glucose regulator based on high-order sliding mode observer.

Authors:  Hadi Delavari; Hamid Heydarinejad; Dumitru Baleanu
Journal:  IET Syst Biol       Date:  2019-04       Impact factor: 1.615

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  1 in total

1.  Multi-bit Boolean model for chemotactic drift of Escherichia coli.

Authors:  Anuj Deshpande; Sibendu Samanta; Sutharsan Govindarajan; Ritwik Kumar Layek
Journal:  IET Syst Biol       Date:  2020-12       Impact factor: 1.615

  1 in total

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