by Arino, Julien, Bowman, Chris, Gumel, Abba and Portet, Stéphanie
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.
Reference:
Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease (Arino, Julien, Bowman, Chris, Gumel, Abba and Portet, Stéphanie), In Journal of Biological Dynamics, volume 1, 2007.
Bibtex Entry:
@ARTICLE{Arino2007,
author = {Arino, Julien and Bowman, Chris and Gumel, Abba and Portet, St\'ephanie},
title = {Effect of pathogen-resistant vectors on the transmission dynamics
of a vector-borne disease},
journal = {Journal of Biological Dynamics},
year = {2007},
volume = {1},
pages = {320--346},
number = {4},
month = {Oct},
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.},
doi = {10.1080/17513750701605614},
institution = {Department of Mathematics, University of Manitoba, Winnipeg, Manitoba,
Canada R3T 2N2. arinoj@cc.umanitoba.ca},
keywords = {Animals; Communicable Diseases, transmission; Disease Resistance;
Disease Vectors; Host-Pathogen Interactions; Humans; Reproduction},
language = {eng},
medline-pst = {ppublish},
owner = {sportet},
pmid = {22876820},
timestamp = {2013.11.13},
url = {http://www.tandfonline.com/doi/pdf/10.1080/17513750701605614}
}