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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
agricultural and biological sciences
Effect of pathogen-resistant vectors on the transmission dynamics of a vector-borne disease
Journal of Biological Dynamics, Volume 1, No. 4, Year 2007
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Description
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. © 2007 Taylor & Francis Group, LLC.
Authors & Co-Authors
Arino, Julien
Canada, Winnipeg
University of Manitoba
Gumel, Abba B.
Canada, Winnipeg
University of Manitoba
Portet, Stéphanie
Canada, Winnipeg
University of Manitoba
Statistics
Citations: 4
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1080/17513750701605614
ISSN:
17513758
Research Areas
Sexual And Reproductive Health