Imperial College London
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PROFESSOR PANTELIS (PJ) BEAGHTON

Faculty of Engineering, Institute for Security Science & Technology

Professor of Practice and Security Science Fellow
 
 
 
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Contact

 

p.beaghton Website

 
 
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Location

 

Level 2 Admin OfficeAbdus Salam LibrarySouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Beaghton:2016:10.1016/j.tpb.2015.11.005,
author = {Beaghton, A and Beaghton, PJ and Burt, A},
doi = {10.1016/j.tpb.2015.11.005},
journal = {Theoretical Population Biology},
pages = {51--69},
title = {Gene drive through a landscape: Reaction–diffusion models of population suppression and elimination by a sex ratio distorter},
url = {http://dx.doi.org/10.1016/j.tpb.2015.11.005},
volume = {108},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Some genes or gene complexes are transmitted from parents to offspring at a greater-than-Mendelian rate, and can spread and persist in populations even if they cause some harm to the individuals carrying them. Such genes may be useful for controlling populations or species that are harmful. Driving-Y chromosomes may be particularly potent in this regard, as they produce a male-biased sex ratio that, if sufficiently extreme, can lead to population elimination. To better understand the potential of such genes to spread over a landscape, we have developed a series of reaction–diffusion models of a driving-Y chromosome in 1-D and radially-symmetric 2-D unbounded domains. The wild-type system at carrying capacity is found to be unstable to the introduction of driving-Y males for all models investigated. Numerical solutions exhibit travelling wave pulses and fronts, and analytical and semi-analytical solutions for the asymptotic wave speed under bounded initial conditions are derived. The driving-Y male invades the wild-type equilibrium state at the front of the wave and completely replaces the wild-type males, leaving behind, at the tail of the wave, a reduced- or zero-population state of females and driving-Y males only. In our simplest model of a population with one life stage and density-dependent mortality, wave speed depends on the strength of drive and the diffusion rate of Y-drive males, and is independent of the population dynamic consequences (suppression or elimination). Incorporating an immobile juvenile stage of fixed duration into the model reduces wave speed approximately in proportion to the relative time spent as a juvenile. If females mate just once in their life, storing sperm for subsequent reproduction, then wave speed depends on the movement of mated females as well as Y-drive males, and may be faster or slower than in the multiple-mating model, depending on the relative duration of juvenile and adult life stages. Numerical solutions are shown
AU  - Beaghton,A
AU  - Beaghton,PJ
AU  - Burt,A
DO  - 10.1016/j.tpb.2015.11.005
EP  - 69
PY  - 2016///
SN  - 1096-0325
SP  - 51
TI  - Gene drive through a landscape: Reaction–diffusion models of population suppression and elimination by a sex ratio distorter
T2  - Theoretical Population Biology
UR  - http://dx.doi.org/10.1016/j.tpb.2015.11.005
UR  - http://hdl.handle.net/10044/1/28559
VL  - 108
ER  -
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