Abstract

MAHDJOUB, Tewfik  and  KRIBS, Christopher. Assessing the invasion speed of triatomine populations, chagas disease vectors. Rev. Mat [online]. 2020, vol.27, n.1, pp.73-92. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v27i1.39949.

Spraying insecticides to control triatomine populations, the vectors of Chagas disease, does not prevent the disease’s reemergence in infested areas. Mathematical models try to explain this reemergence in terms of the factors underlying sylvatic transmission of the parasite Trypanosoma cruzi. The presence of reservoir hosts such as woodrats is essential to the infection’s geographical spread. This study models a vector-host system using integrodifference equations to incorporate dispersal as well as hostvector interactions. These equations capture, simultaneously, the three processes taking place between successive generations: demography, infection and spatial dispersal. Travelling waves, the solutions of the integrodifference equations thus derived, allow one to calculate numerically the invasion speed of the disease. Neubert-Caswell’s theorem can then be applied to calculate the analytical invasion speed.

Keywords : Chagas disease; vector-host contacts; integrodifference equations; travelling waves; invasion speed..

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