Literature DB >> 9656647

Analysis of a dengue disease transmission model.

L Esteva1, C Vargas.   

Abstract

A model for the transmission of dengue fever in a constant human population and variable vector population is discussed. A complete global analysis is given, which uses the results of the theory of competitive systems and stability of periodic orbits, to establish the global stability of the endemic equilibrium. The control measures of the vector population are discussed in terms of the threshold condition, which governs the existence and stability of the endemic equilibrium.

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Year:  1998        PMID: 9656647     DOI: 10.1016/s0025-5564(98)10003-2

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  42 in total

1.  Influence of spatial heterogeneity on an emerging infectious disease: the case of dengue epidemics.

Authors:  Charly Favier; Delphine Schmit; Christine D M Müller-Graf; Bernard Cazelles; Nicolas Degallier; Bernard Mondet; Marc A Dubois
Journal:  Proc Biol Sci       Date:  2005-06-07       Impact factor: 5.349

2.  A Compartmental Model for Zika Virus with Dynamic Human and Vector Populations.

Authors:  Eva K Lee; Yifan Liu; Ferdinand H Pietz
Journal:  AMIA Annu Symp Proc       Date:  2017-02-10

3.  The pluses and minuses of R0.

Authors:  M G Roberts
Journal:  J R Soc Interface       Date:  2007-10-22       Impact factor: 4.118

4.  Mathematical modeling of dengue epidemic: control methods and vaccination strategies.

Authors:  Sylvestre Aureliano Carvalho; Stella Olivia da Silva; Iraziet da Cunha Charret
Journal:  Theory Biosci       Date:  2019-02-10       Impact factor: 1.919

5.  Bifurcation thresholds and optimal control in transmission dynamics of arboviral diseases.

Authors:  Hamadjam Abboubakar; Jean Claude Kamgang; Leontine Nkague Nkamba; Daniel Tieudjo
Journal:  J Math Biol       Date:  2017-06-06       Impact factor: 2.259

6.  State estimators for some epidemiological systems.

Authors:  A Iggidr; M O Souza
Journal:  J Math Biol       Date:  2018-07-21       Impact factor: 2.259

7.  Multiscale analysis for a vector-borne epidemic model.

Authors:  Max O Souza
Journal:  J Math Biol       Date:  2013-04-02       Impact factor: 2.259

8.  Global properties of vector-host disease models with time delays.

Authors:  Li-Ming Cai; Xue-Zhi Li; Bin Fang; Shigui Ruan
Journal:  J Math Biol       Date:  2016-09-22       Impact factor: 2.259

9.  Comparing dengue and chikungunya emergence and endemic transmission in A. aegypti and A. albopictus.

Authors:  Carrie A Manore; Kyle S Hickmann; Sen Xu; Helen J Wearing; James M Hyman
Journal:  J Theor Biol       Date:  2014-05-04       Impact factor: 2.691

10.  Towards a Hybrid Agent-based Model for Mosquito Borne Disease.

Authors:  S M Mniszewski; C A Manore; C Bryan; S Y Del Valle; D Roberts
Journal:  Summer Comput Simul Conf (2014)       Date:  2014-07
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