Vertical Transmission in a Two-Strain Model of Dengue Fever

David Murillo; Susan A. Holechek; Anarina L. Murillo; Fabio Sanchez; Carlos Castillo-Chavez

doi:10.1080/23737867.2014.11414484

Vertical Transmission in a Two-Strain Model of Dengue Fever

David Murillo, Susan A. Holechek, Anarina L. Murillo, Fabio Sanchez, Carlos Castillo-Chavez

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor. In this paper, we apply the pioneering modeling ideas of Ross and MacDonald, motivated by the context of the 2000–2001 dengue outbreak in Peru, to assess the dynamics of multi-strain competition. An invading strain of dengue virus (DENV-2) from Asia rapidly circulated into Peru eventually displacing DENV-2 American. A host-dengue model that considers the competing dynamics of these two DENV-2 genotypes, the resident or the American type and the invasive more virulent Asian strain, is introduced and analyzed. The model incorporates vertical transmission by DENV-2 Asian a potentially advantageous trait. Conditions for competitive exclusion of dengue strains are established. The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.

Original language	English (US)
Pages (from-to)	249-271
Number of pages	23
Journal	Letters in Biomathematics
Volume	1
Issue number	2
DOIs	https://doi.org/10.1080/23737867.2014.11414484
State	Published - Jan 1 2014

Keywords

Peru
dengue
epidemiology
vector-host model
vertical transmission

ASJC Scopus subject areas

Statistics and Probability
Biochemistry, Genetics and Molecular Biology (miscellaneous)
Applied Mathematics

Access to Document

10.1080/23737867.2014.11414484

Cite this

@article{31c4d81cd17a41489ce54ea25fe45380,

title = "Vertical Transmission in a Two-Strain Model of Dengue Fever",

abstract = "The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor. In this paper, we apply the pioneering modeling ideas of Ross and MacDonald, motivated by the context of the 2000–2001 dengue outbreak in Peru, to assess the dynamics of multi-strain competition. An invading strain of dengue virus (DENV-2) from Asia rapidly circulated into Peru eventually displacing DENV-2 American. A host-dengue model that considers the competing dynamics of these two DENV-2 genotypes, the resident or the American type and the invasive more virulent Asian strain, is introduced and analyzed. The model incorporates vertical transmission by DENV-2 Asian a potentially advantageous trait. Conditions for competitive exclusion of dengue strains are established. The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.",

keywords = "Peru, dengue, epidemiology, vector-host model, vertical transmission",

author = "David Murillo and Holechek, {Susan A.} and Murillo, {Anarina L.} and Fabio Sanchez and Carlos Castillo-Chavez",

note = "Funding Information: The authors are solely responsible for the views and opinions expressed in this research; it does not necessarily reflect the ideas and/or opinions of the funding agencies or Arizona State University. This publication was made possible by grant number 1R01GM100471-01 from the National Institute of General Medical Sciences (NIGMS) at the National Institutes of Health. Its contents do not necessarily represent the official views of NIGMS. The authors would also like to acknowledge Kamal Barley for assistance with graphical enhancements. Publisher Copyright: {\textcopyright} 2014, Copyright 2014 Taylor and Francis Group LLC.",

year = "2014",

month = jan,

day = "1",

doi = "10.1080/23737867.2014.11414484",

language = "English (US)",

volume = "1",

pages = "249--271",

journal = "Letters in Biomathematics",

issn = "2373-7867",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Vertical Transmission in a Two-Strain Model of Dengue Fever

AU - Murillo, David

AU - Holechek, Susan A.

AU - Murillo, Anarina L.

AU - Sanchez, Fabio

AU - Castillo-Chavez, Carlos

N1 - Funding Information: The authors are solely responsible for the views and opinions expressed in this research; it does not necessarily reflect the ideas and/or opinions of the funding agencies or Arizona State University. This publication was made possible by grant number 1R01GM100471-01 from the National Institute of General Medical Sciences (NIGMS) at the National Institutes of Health. Its contents do not necessarily represent the official views of NIGMS. The authors would also like to acknowledge Kamal Barley for assistance with graphical enhancements. Publisher Copyright: © 2014, Copyright 2014 Taylor and Francis Group LLC.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor. In this paper, we apply the pioneering modeling ideas of Ross and MacDonald, motivated by the context of the 2000–2001 dengue outbreak in Peru, to assess the dynamics of multi-strain competition. An invading strain of dengue virus (DENV-2) from Asia rapidly circulated into Peru eventually displacing DENV-2 American. A host-dengue model that considers the competing dynamics of these two DENV-2 genotypes, the resident or the American type and the invasive more virulent Asian strain, is introduced and analyzed. The model incorporates vertical transmission by DENV-2 Asian a potentially advantageous trait. Conditions for competitive exclusion of dengue strains are established. The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.

AB - The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor. In this paper, we apply the pioneering modeling ideas of Ross and MacDonald, motivated by the context of the 2000–2001 dengue outbreak in Peru, to assess the dynamics of multi-strain competition. An invading strain of dengue virus (DENV-2) from Asia rapidly circulated into Peru eventually displacing DENV-2 American. A host-dengue model that considers the competing dynamics of these two DENV-2 genotypes, the resident or the American type and the invasive more virulent Asian strain, is introduced and analyzed. The model incorporates vertical transmission by DENV-2 Asian a potentially advantageous trait. Conditions for competitive exclusion of dengue strains are established. The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.

KW - Peru

KW - dengue

KW - epidemiology

KW - vector-host model

KW - vertical transmission

UR - http://www.scopus.com/inward/record.url?scp=85032376419&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85032376419&partnerID=8YFLogxK

U2 - 10.1080/23737867.2014.11414484

DO - 10.1080/23737867.2014.11414484

M3 - Article

AN - SCOPUS:85032376419

SN - 2373-7867

VL - 1

SP - 249

EP - 271

JO - Letters in Biomathematics

JF - Letters in Biomathematics

IS - 2

ER -

Vertical Transmission in a Two-Strain Model of Dengue Fever

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this