A migration-selection model in genetic engineering

Qi，Yingchun1,2; Su，Linlin2

2024-02-01

10.1016/j.nonrwa.2023.103983

Nonlinear Analysis: Real World Applications   Impact Factor & Quartile

1468-1218

We investigate a migration-selection system arising from CRISPR-Cas9 genetic engineering, which describes the evolution of the frequencies of a wild allele O, a drive allele D, and a brake allele B. The purpose is to see whether the drive allele D can persist in the population and whether its spread can be limited or stopped by the brake allele B when necessary. We give a complete classification of the dynamics of this system when there is no migration. We further show that migration may cause complex spatiotemporal patterns by demonstrating the existence of spatially inhomogeneous periodic solutions and steady state solutions.

Gene brake Gene drive Long-time behavior Reaction–diffusion equation Spatial pattern

English

Corresponding

National Natural Science Foundation of China[12071203];Science, Technology and Innovation Commission of Shenzhen Municipality[20220814171825001];

MATHEMATICS

2-s2.0-85168733970

Scopus

1.Department of Mathematics,Harbin Institute of Technology,Harbin,150001,China
2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China

Qi，Yingchun,Su，Linlin. A migration-selection model in genetic engineering[J]. Nonlinear Analysis: Real World Applications,2024,75.

Qi，Yingchun,&Su，Linlin.(2024).A migration-selection model in genetic engineering.Nonlinear Analysis: Real World Applications,75.

Qi，Yingchun,et al."A migration-selection model in genetic engineering".Nonlinear Analysis: Real World Applications 75(2024).