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

Mohammed Mesk 1 Tewfik Mahdjoub 1 Sébastien Gourbière 2 Jorge E. Rabinovich 3 Frédéric Menu 4
1 LANLMA - Laboratoire d’Analyse Non Linéaire et Mathématiques Appliquées
2 IMAGES-Espace DEV - Institut de Modélisation et d'Analyses en géo-environnement et santé - Espace Développement
UMR 228 Espace-Dev, Espace pour le développement
3 CEPAVE - Centro de Estudios Parasitologicos y de Vectores [La Plata]
4 Evolution, adaptation et comportement
Département écologie évolutive [LBBE]
Abstract : 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.
Keywords : Saddle-point approximation Chebyshev polynomials Dispersal Triatomines Integrodifference equations
Document type :
Journal articles
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https://hal-univ-perp.archives-ouvertes.fr/hal-01298098
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Submitted on : Tuesday, April 5, 2016 - 2:50:24 PM
Last modification on : Tuesday, January 14, 2020 - 10:38:16 AM

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Mohammed Mesk, Tewfik Mahdjoub, Sébastien Gourbière, Jorge E. Rabinovich, Frédéric Menu. Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method. Journal of Theoretical Biology, Elsevier, 2016, 395, p. 126-143. ⟨10.1016/j.jtbi.2016.01.017⟩. ⟨hal-01298098⟩

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