Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease.

Julien Arino, Chris Bowman, Abba Gumel, Stéphanie Portet

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A model is introduced for the transmission dynamics of a vector-borne disease with two vector strains, one wild and one pathogen-resistant; resistance comes at the cost of reduced reproductive fitness. The model, which assumes that vector reproduction can lead to the transmission or loss of resistance (reversion), is analyzed in a particular case with specified forms for the birth and force of infection functions. The vector component can have, in the absence of disease, a coexistence equilibrium where both strains survive. In the case where reversion is possible, this coexistence equilibrium is globally asymptotically stable when it exists. This equilibrium is still present in the full vector-host system, leading to a reduction of the associated reproduction number, thereby making elimination of the disease more feasible. When reversion is not possible, there can exist an additional equilibrium with only resistant vectors.

Original languageEnglish (US)
Pages (from-to)320-346
Number of pages27
JournalJournal of Biological Dynamics
Volume1
Issue number4
StatePublished - Oct 2007
Externally publishedYes

Fingerprint

vector-borne diseases
pathogen
pathogens
coexistence
infection
effect
fitness
reproductive fitness

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease. / Arino, Julien; Bowman, Chris; Gumel, Abba; Portet, Stéphanie.

In: Journal of Biological Dynamics, Vol. 1, No. 4, 10.2007, p. 320-346.

Research output: Contribution to journalArticle

Arino, Julien ; Bowman, Chris ; Gumel, Abba ; Portet, Stéphanie. / Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease. In: Journal of Biological Dynamics. 2007 ; Vol. 1, No. 4. pp. 320-346.
@article{2aec6b6d14654df4a90d0c8368bc004a,
title = "Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease.",
abstract = "A model is introduced for the transmission dynamics of a vector-borne disease with two vector strains, one wild and one pathogen-resistant; resistance comes at the cost of reduced reproductive fitness. The model, which assumes that vector reproduction can lead to the transmission or loss of resistance (reversion), is analyzed in a particular case with specified forms for the birth and force of infection functions. The vector component can have, in the absence of disease, a coexistence equilibrium where both strains survive. In the case where reversion is possible, this coexistence equilibrium is globally asymptotically stable when it exists. This equilibrium is still present in the full vector-host system, leading to a reduction of the associated reproduction number, thereby making elimination of the disease more feasible. When reversion is not possible, there can exist an additional equilibrium with only resistant vectors.",
author = "Julien Arino and Chris Bowman and Abba Gumel and St{\'e}phanie Portet",
year = "2007",
month = "10",
language = "English (US)",
volume = "1",
pages = "320--346",
journal = "Journal of Biological Dynamics",
issn = "1751-3758",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

TY - JOUR

T1 - Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease.

AU - Arino, Julien

AU - Bowman, Chris

AU - Gumel, Abba

AU - Portet, Stéphanie

PY - 2007/10

Y1 - 2007/10

N2 - A model is introduced for the transmission dynamics of a vector-borne disease with two vector strains, one wild and one pathogen-resistant; resistance comes at the cost of reduced reproductive fitness. The model, which assumes that vector reproduction can lead to the transmission or loss of resistance (reversion), is analyzed in a particular case with specified forms for the birth and force of infection functions. The vector component can have, in the absence of disease, a coexistence equilibrium where both strains survive. In the case where reversion is possible, this coexistence equilibrium is globally asymptotically stable when it exists. This equilibrium is still present in the full vector-host system, leading to a reduction of the associated reproduction number, thereby making elimination of the disease more feasible. When reversion is not possible, there can exist an additional equilibrium with only resistant vectors.

AB - A model is introduced for the transmission dynamics of a vector-borne disease with two vector strains, one wild and one pathogen-resistant; resistance comes at the cost of reduced reproductive fitness. The model, which assumes that vector reproduction can lead to the transmission or loss of resistance (reversion), is analyzed in a particular case with specified forms for the birth and force of infection functions. The vector component can have, in the absence of disease, a coexistence equilibrium where both strains survive. In the case where reversion is possible, this coexistence equilibrium is globally asymptotically stable when it exists. This equilibrium is still present in the full vector-host system, leading to a reduction of the associated reproduction number, thereby making elimination of the disease more feasible. When reversion is not possible, there can exist an additional equilibrium with only resistant vectors.

UR - http://www.scopus.com/inward/record.url?scp=84873708581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873708581&partnerID=8YFLogxK

M3 - Article

VL - 1

SP - 320

EP - 346

JO - Journal of Biological Dynamics

JF - Journal of Biological Dynamics

SN - 1751-3758

IS - 4

ER -