Robert Alexander Cheke

Prof. Robert Alexander Cheke


Research Focus & Metrics

Academic Career Length

51Years (1976-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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1 January 2005 in Bulletin of Mathematical Biology
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Journal Article
Closed access
STS Tang
S Tang
YXY Xiao
Y Xiao
LCL Chen
L Chen
RCRobert Alexander Cheke
Robert Alexander Cheke

1 October 2010 in Infection, Genetics and Evolution
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Journal Article
Closed access
PAPeter H. Adler
Peter H. Adler
RCRobert Alexander Cheke
Robert Alexander Cheke
RPRory J. Post
Rory J. Post

7 October 2004 in Journal of Mathematical Biology
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Journal Article
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STSanyi Tang
Sanyi Tang
RCRobert Alexander Cheke
Robert Alexander Cheke

1 January 2012 in SIAM Journal on Applied Mathematics
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Journal Article
Closed access
STSanyi Tang
Sanyi Tang
JLJuhua Liang
Juhua Liang
YXYanni Xiao
Yanni Xiao
RCRobert Alexander Cheke
Robert Alexander Cheke
In order to control pests, a specific management strategy called the threshold policy is proposed, which can be described by Filippov systems (or piecewise smooth systems). The aim of this work is to investigate a variety of bifurcation phenomena of the equilibria and sliding cycles of Filippov two stage structured population models with density dependent per capita birth rates and transition rates from the juvenile class into the adult class. It is shown that interadult competition alone can give rise to multiple sliding segments and multiple pseudoequilibria, whilst interadult and interjuvenile competition together can result in rich sliding bifurcations. As the threshold value varies, local sliding bifurcations including boundary node (saddle), tangency, and pseudo--saddle-node bifurcations occur sequentially, and global sliding bifurcations including buckling bifurcations of the sliding cycles, sliding crossing bifurcations, and pseudohomoclinic bifurcations can be present. Threshold policy control ha...

1 September 2008 in Mathematical Biosciences
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Journal Article
Closed access
STSanyi Tang
Sanyi Tang
RCRobert Alexander Cheke
Robert Alexander Cheke

1 May 2010 in Journal of Theoretical Biology
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Journal Article
Closed access
STSanyi Tang
Sanyi Tang
GTGuangyao Tang
Guangyao Tang
RCRobert Alexander Cheke
Robert Alexander Cheke