Keywords: Reaction-diffusion system

Demographic feedbacks can hamper the spatial spread of a gene drive

L. Girardin and F. Débarre,  arXiv,  2021.
Our results indicate that taking into account the interplay between population dynamics and population genetics might actually be crucial, as it can effectively reverse the direction of the invasion and lead to failure. Our findings can be extended to other bistable systems, such ...
Keywords: , , , , , , , , , , ,

Global existence and asymptotic behavior of a model for biological control of invasive species via supermale introduction

R. D. Parshad, S. Kouachi and J. B. Gutierrez,  Communications in Mathematical Sciences,  11:971-992. 2013.
The purpose of this manuscript is to propose a model for the biological control of invasive species, via introduction of phenotypically modified organisms into a target population. We are inspired by the earlier Trojan Y Chromosome model [J.B. Gutierrez, J.L. Teem, J. Theo. Bio., ...
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