Andy Hoyle

Dr Andy Hoyle
Lecturer
Computing Sceince and Mathematics
School of Natural Sciences
University of Stirling
FK9 4LA

Tel: +44 1786 467 467
Email: Click on link at bottom of the page

Personal

Education and Employment

2006-date Lecturer - University of Stirling

2005-2006 Research Assistant - The University of Liverpool

2002-2005 PhD - The University of Liverpool

1999-2002 BSc (first class) in Mathematics - The University of Liverpool

Research Interests

Optimal control strategies in multi-host, shared pathogen systems
Collaborators - Rachel Rider, Rachel Norman, Jon Greenman (Stirling)
Systems where several host species share a common pathogen is widespread (e.g. Bovine TB in cattle and badgers, Crithidia bombi in bumblebees and honeybees). However control of such pathogens can be difficult due to complex interactions and potential reservoir species. We aim to develop control strategies for such systems, via modelling and optimisation techniques, and study how we can use seasonality in our favour to reduce teh amount of controls needed.

Evolution of host resistance
Collaborators - Alex Best, Mike Boots (Sheffield), Roger Bowers (Liverpool)
By employing trade-offs between life-hostory traits, we aim to study the evolution of host resistance in response to pathogen invasion and pathogen evolution. In particular we use adaptive dynamics to study how interactions between hosts and the and pathogen and other species effect evolutionary outcomes, and the co-evolutionary responses in other species.

Evolution of sexual conflict
Collaborators - Jen McKeown, Andre Gilburn, Luc Bussiere (Stirling)

Modelling and control of aquatic parasites
Collaborators - Scott Denholm, Nicky McPherson, Rachel Norman, Andy Shinn (Stirling), Nick Taylor (CEFAS)

Anti-microbial resistance
Collaborators - Nick Taylor (CEFAS)

PhD Students

Jennifer McKeown - Interaction of natural and sexual selection in evolutionary behaviour. (Feb 2011 - Jan 2015)

Rachel Rider - Optimal control of disease in multi-host systems. (Oct 2010 - Sept 2014)

Scott Denholm - Long-term impact of G. salaris on UK Atlantic salmon populations. (Oct 2009 - Sept 2013)

Nicky McPherson - Model and control of Argulus spp in managed troat populations. (Oct 2009 - Sept 2013)

Publications

Hoyle A., A. Best and R. G. Bowers. The evolution of host resistance to a pathogen in the presence of a predator: evolutionary singularities, exclusion thresholds and trade-off and invasion plots. Submitted

Hoyle A., R.G. Bowers and A. White, 2011. Evolutionary behaviour, trade-offs and cyclic and chaotic population dynamics. Bulletin of Mathematical Biology, 73:1154-69. PDF

Greenman J.V. and A. Hoyle, 2010. Pathogen exclusion from eco-epidemiological systems. American Naturalist, 176:149-58.

Hoyle A. and A. Gilburn, 2010. Sexually antagonistic co-evolution: a model and an empirical test. Journal of Evolutionary Biology, 23:166-174. PDF

Hoyle A. and R.G. Bowers, 2008. Can possible evolutionary outcomes be determined directly from the population dynamics? Theoretical Population Biology, 74:311-323.

Greenman J.V. and A. Hoyle, 2008. Exclusion of generalist pathogens in multi-host communities. American Naturalist, 172:576-84.

Hoyle A., R.G. Bowers, A. White and M. Boots, 2008. The influence of trade-off shape on evolutionary behaviour in classical ecological scenarios. Journal of Theoretical Biology, 250:498-511. PDF

Hoyle A. and R.G. Bowers, 2008. When is evolutionary branching in predator-prey systems possible with an explicit carrying capacity? Mathematical Biosciences, 210:1-16.

R.G. Bowers, A. Hoyle, A. White & M. Boots, 2005. The geometric theory of adaptive evolution: trade-off and invasion plots. Journal of Theoretical Biology, 233:363-377.

Teaching

MAT9JA – Optimisation in Theory and Practice (Spring 2007/09/11).
MAT9MA – Special Topics – Classical Mechanics and Game Theory (Autumn 2009/11).
MAT9MC – Experimental Design and Mathematical Modelling (Spring 2008/10/12).

MAT9J8 – Problem Solving (Spring 2007-2012)
MAT9K8 – Research Project (Spring 2007-2012)

Lecturer in modules outside department

FIN9QA – Quantitative Methods for Business Decisions (Autumn 2007/08/09/11).
PDM9L4/5 – Data Skills.

Other details

I am at present responsible for the Mathematics Workshop which takes place every June at the University of Stirling. Further information on the workshop and other related events can be found here or email me.