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Catch me if you can: a spatial model for a brake-driven gene drive reversal

Abstract : We consider a reaction-diffusion system modeling the co-invasion of a gene drive (an allele biasing inheritance, increasing its own transmission to offspring) and a brake (an "antidote" to a gene drive) in a population carrying a wild-type allele. We successfully prove that, whenever the drive fitness is at most 50% of the wild-type one while the brake fitness is close to the wild-type one, co-extinction of the brake and the drive occurs in the long run. On the contrary, if the drive fitness is at least 50% of the wild-type one, then co-extinction is impossible. Based on numerical experiments, we argue in favor of a global co-extinction conjecture provided the drive fitness is at most 50% of the wild-type one. The proof relies upon the study of a related predator-prey system with strong Allee effect on the prey.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-01954463
Contributor : Léo Girardin <>
Submitted on : Friday, December 14, 2018 - 3:20:17 PM
Last modification on : Monday, June 28, 2021 - 2:26:07 PM
Long-term archiving on: : Friday, March 15, 2019 - 1:27:18 PM

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  • HAL Id : hal-01954463, version 1
  • ARXIV : 1812.06641

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Vincent Calvez, Florence Débarre, Léo Girardin. Catch me if you can: a spatial model for a brake-driven gene drive reversal. 2018. ⟨hal-01954463v1⟩

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