title: Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method.
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.
authors.affiliation: Laboratoire d'Analyse Non Linéaire et Mathématiques Appliquées, Université de Tlemcen, BP 119 Imama (Pôle2), Tlemcen 13000, Algeria. Electronic address: m_mesk@mail.univ-tlemcen.dz.
authors.forename: Mohammed
authors.initials: M
authors.lastname: Mesk
authors.affiliation: Laboratoire d'Analyse Non Linéaire et Mathématiques Appliquées, Université de Tlemcen, BP 119 Imama (Pôle2), Tlemcen 13000, Algeria. Electronic address: tew.mahdjoub@mail.univ-tlemcen.dz.
authors.forename: Tewfik
authors.initials: T
authors.lastname: Mahdjoub
authors.affiliation: Université de Perpignan Via Domitia, EA 4218 ׳Institut de Modélisation et d׳Analyse en Géo-Environnements et Santé' (IMAGES), Perpignan 66100, France. Electronic address: gourbiere@univ-perp.fr.
authors.forename: Sébastien
authors.initials: S
authors.lastname: Gourbière
authors.affiliation: Centro de Estudios Parasitológicos y de Vectores, Universidad Nacional de La Plata, La Plata, Provincia de Buenos Aires, Argentina. Electronic address: Jorge.Rabinovich@gmail.com.
authors.forename: Jorge E
authors.initials: JE
authors.lastname: Rabinovich
authors.affiliation: Laboratoire de Biométrie et Biologie Evolutive (UMR 5558), Université de Lyon, Université Lyon 1, UMR CNRS 5558, 43 Bd du 11 Novembre 1918, 69 622 Villeurbanne Cedex, France. Electronic address: frederic.menu@univ-lyon1.fr.
authors.forename: Frédéric
authors.initials: F
authors.lastname: Menu
mesh_terms: D000818:Animals; D014355:Chagas Disease; D005260:Female; D006801:Humans; D007303:Insect Vectors / Q000502:physiology*; D008297:Male; D008954:Models, Biological; D011157:Population Dynamics; D012621:Seasons; D014224:Triatoma / Q000502:physiology*
keywords: Chebyshev polynomials; Dispersal; Integrodifference equations; Saddle-point approximation; Triatomines