Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method

Demographic processes and spatial dispersal of Triatoma dimidiata, a triatomine species vector of Chagas disease, are modeled by integrodifference equations to estimate invasion capacity of this species under different ecological conditions. The application of the theory of orthogonal polynomials an...

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Bibliographic Details
Published in:Journal of theoretical biology 2016-04, Vol.395, p.126-143
Main Authors: Mesk, Mohammed, Mahdjoub, Tewfik, Gourbière, Sébastien, Rabinovich, Jorge E., Menu, Frédéric
Format: Article
Language:English
Subjects:
Animals
Chagas Disease
Chebyshev polynomials
Dispersal
Ecology, environment
Female
Humans
Insect Vectors - physiology
Integrodifference equations
Life Sciences
Male
Models, Biological
Population Dynamics
Saddle-point approximation
Seasons
Triatoma - physiology
Triatoma dimidiata
Triatomines
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Summary:Demographic processes and spatial dispersal of Triatoma dimidiata, a triatomine species vector of Chagas disease, are modeled by integrodifference equations to estimate invasion capacity of this species under different ecological conditions. The application of the theory of orthogonal polynomials and the steepest descent method applied to these equations, allow a good approximation of the abundance of the adult female population and the invasion speed. We show that: (1) under the same mean conditions of demography and dispersal, periodic spatial dispersal results in an invasion speed 2.5 times larger than the invasion speed when spatial dispersal is continuous; (2) when the invasion speed of periodic spatial dispersal is correlated to adverse demographic conditions, it is 34.7% higher as compared to a periodic dispersal that is correlated to good demographic conditions. From our results we conclude, in terms of triatomine population control, that the invasive success of T. dimidiata may be most sensitive to the probability of transition from juvenile to adult stage. We discuss our main theoretical predictions in the light of observed data in different triatomines species found in the literature. •A structured integrodifference equation is used to study invasion speed of T. dimidiata.•Importance of seasonal dispersal when estimating the invasion capacity of triatomines.•An efficient control may be to disturb the transition from juvenile to adult stage.
ISSN:0022-5193
1095-8541
DOI:10.1016/j.jtbi.2016.01.017