A class of fast-slow models for adaptive resistance evolution - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Theoretical Population Biology Year : 2020

A class of fast-slow models for adaptive resistance evolution


Resistance to insecticide is considered nowadays one of the major threats to insect control, as its occurrence reduces drastically the efficiency of chemical control campaigns, and may also perturb the application of other control methods, like biological and genetic control. In order to account for the emergence and spread of such phenomenon as an effect of exposition to larvicide and/or adulticide, we develop in this paper a general time-continuous population model with two life phases, subsequently simplified through slow manifold theory. The derived models present density-dependent recruitment and mortality rates in a non-conventional way. We show that in absence of selection, they evolve in compliance with Hardy-Weinberg law; while in presence of selection and in the dominant or codominant cases, convergence to the fittest genotype occurs. The proposed mathematical models should allow for the study of several issues of importance related to the use of insecticides and other adaptive phenomena.
Fichier principal
Vignette du fichier
PEPE-PAB-CES.pdf (433.15 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-02418511 , version 1 (18-12-2019)
hal-02418511 , version 2 (18-12-2020)



Pastor E. Pérez-Estigarribia, Pierre-Alexandre Bliman, Christian E Schaerer. A class of fast-slow models for adaptive resistance evolution. Theoretical Population Biology, 2020, 135, pp.32-48. ⟨10.1016/j.tpb.2020.07.003⟩. ⟨hal-02418511v2⟩
99 View
276 Download



Gmail Mastodon Facebook X LinkedIn More