For Publishers
DiscoveryMetadataPeer reviewHostingPublishing
For Researchers
JoinPublishReviewCollect
Register
Blog
About
Search
Advanced search
My ScienceOpen
Search
For Publishers
For Researchers
Blog
About
8
views
7
references
 Top references
cited by
2
    
0 reviews
 Review
0
comments
 Comment
0
recommends
+1 Recommend
1 collections
    0
    shares
      368
      similar
       All similar
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Computational model of a vector-mediated epidemic

      research-article

      Read this article at

      ScienceOpenPublisherPMC
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We discuss a lattice model of vector-mediated transmission of a disease to illustrate how simulations can be applied in epidemiology. The population consists of two species, human hosts and vectors, which contract the disease from one another. Hosts are sedentary, while vectors (mosquitoes) diffuse in space. Examples of such diseases are malaria, dengue fever, and Pierce's disease in vineyards. The model exhibits a phase transition between an absorbing (infection free) phase and an active one as parameters such as infection rates and vector density are varied.

          Related collections

          Most cited references7

          • Record: found
          • Abstract: not found
          • Article: not found

          An Application of the Theory of Probabilities to the Study of a priori Pathometry. Part I

          R. Ross (1916)
          Article 0 comments Cited 85 times – based on 0 reviews     Review now
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            How to simulate the quasistationary state

            Ronald Dickman, Marcelo Martins de Oliveira (2005)
            Article 0 comments Cited 58 times – based on 0 reviews     Review now
              Bookmark
              • Record: found
              • Abstract: found
              • Article: not found

              On the delayed Ross-Macdonald model for malaria transmission.

              Dongmei Xiao, John Beier, Shigui Ruan (2008)
              The feedback dynamics from mosquito to human and back to mosquito involve considerable time delays due to the incubation periods of the parasites. In this paper, taking explicit account of the incubation periods of parasites within the human and the mosquito, we first propose a delayed Ross-Macdonald model. Then we calculate the basic reproduction number R0 and carry out some sensitivity analysis of R0 on the incubation periods, that is, to study the effect of time delays on the basic reproduction number. It is shown that the basic reproduction number is a decreasing function of both time delays. Thus, prolonging the incubation periods in either humans or mosquitos (via medicine or control measures) could reduce the prevalence of infection.
              Article 0 comments Cited 26 times – based on 0 reviews     Review now
                Bookmark
                All references

                Author and article information

                Journal
                Journal ID (nlm-ta): Am J Phys
                Journal ID (iso-abbrev): Am J Phys
                Journal ID (coden): AJPIAS
                Title: American Journal of Physics
                Publisher: American Association of Physics Teachers
                ISSN (Print): 0002-9505
                ISSN (Electronic): 1943-2909
                Publication date (Print): May 2015
                Volume: 83
                Issue: 5
                Pages: 468-474
                Affiliations
                Programa de Pós-graduação em Ensino de Ciências e Matemática, Pontifícia Universidade Católica de Minas Gerais , Av. Dom José Gaspar, 500, Coração Eucarístico, 30535-901, Belo Horizonte, Minas Gerais, Brazil
                Departamento de Física and National Institute of Science and Technology of Complex Systems, ICEx, Universidade Federal de Minas Gerais , Caixa Postal 702, 30161-970, Belo Horizonte - Minas Gerais, Brazil
                Author notes
                Article
                Publisher ID: 1.4917164 Publisher ID: 009505AJP Publisher-manuscript ID: 27660
                DOI: 10.1119/1.4917164
                PMC ID: 7110924
                SO-VID: 590217a1-f43c-4878-a674-e71f652ba8c3
                Copyright statement: Copyright @ 2015
                License:

                0002-9505/2015/83(5)/468/7/ $30.00

                All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/ ).

                History
                Date received : 16 March 2015
                Date accepted : 25 March 2015
                Page count
                Pages: 7
                Categories
                Subject: Computational Physics
                Custom metadata
                crossmark

                Data availability:

                Comments

                Comment on this article

                scite_

                Similar content368

                See all similar

                Cited by2

                See all cited by

                Most referenced authors73

                See all reference authors