Prof
R.G. Bowers 

Research Interests 
My present research interests are in the fields of evolution, population
dynamics and epidemiology. I am particularly interested in adaptive dynamics,
multi-species systems and host pathogen interactions. I often work in
multi-disciplinary teams with life scientists. 
List of recent papers
 
·        
J Turner, A Howell, C McCann, C Caminade, RG
Bowers, D Williams, Matthew Baylis 
A model to assess the efficacy of vaccines for control of liver fluke
infection
Scientific reports 6, Article number: 23345  (2016)
 
·        
A Best, R Bowers, A White 
Evolution, the loss of diversity and the role of trade-off
Mathematical Biosciences 264, 86-93 (2015)
 
·        
Mike Boots, Alex Best, Roger Bowers, Andy
White.
 How specificity and epidemiology drive
the coevolution of static trait diversity in hosts and parasites.
 Evolution 68 (6), 1594-1606 (2014)
 
·        
Joanne Turner, Roger G Bowers, Matthew
Baylis
Two-host, two-vector basic reproduction ratio (R0) for Bluetongue
PloS one 8(1),
e53128 (2013)
 
·        
Turner, J., Bowers, R. G. & Baylis, M.
Modelling bluetongue virus
transmission between farms using animal and vector movements
Scientific Reports 2
(2012)
 
·        
Hoyle, A., Best, A. & Bowers, R. G.
 Evolution of host resistance towards pathogen
exclusion: The role of predators
 Evolutionary
Ecology Research 14, 125 (2012)
 
·        
Boots, M., White, A., Best, A. & Bowers,
R. 
The importance of
who infects whom: the evolution of diversity in host resistance to infectious
disease 
Ecology Letters
(2012)
 
            On the determination of evolutionary
outcomes directly from the population dynamics of the resident
       Journal
of Mathematical Biology, 62, 901-924 (2011)           
 
 - Hoyle, A., Bowers, R. G.,
     and White A. 
            Evolutionary behaviour, trade-offs
and cyclic and chaotic population dynamics 
       Bulletin
of Mathematical Biology, 73, 1154-1169 (2011)
 
 - Thomas
     Evans,  Roger G. Bowers, Martin
     Mortimer 
Adaptive Dynamics of Temperate Phages
Evolutionary Ecology Research, 2010, 12, 413-434
 
 - Yanni Xiao, Roger G. Bowers, Sanyi Tang 
The effect
of delayed self-regulation on host-pathogen population cycles in forest insects
Journal of Theoretical Biology, 2009, 258, 240-249
 - Andrew Hoyle and
     Roger G. Bowers
 Can possible
     evolutionary outcomes be determined directly from
     the population dynamics?
 Theoretical
     Population Biology, 2008, 74, 311-323
 
 - J. Turner, R.G.
     Bowers, D. Clancy, M. C. Behnke, R. M. Christley, 
 A network model of E. coli O157 transmission within a typical UK
     dairy herd: the effect of heterogeneity and clustering on the prevalence
     of infection,
 Journal of Theoretical Biology,
     2008, 254, 45-54
     
 - Rachel Bennett
     and Roger G. Bowers 
 A baseline model
     for the co-evolution of host and pathogen
 Journal of Mathematical Biology,
     2008, 57, 791-810
     
 - Hoyle, A., R.G.
     Bowers, A. White and M. Boots
 The influence of trade-off shape on evolutionary behaviour in classical
     ecological scenarios,
 Journal of Theoretical Biology,
     2008, 250, 498-511
 
 - Kieran J. Sharkey, Roger G. Bowers, Kenton L. Morgan, Susan E.
     Robinson, Robert M. Christley
 Epidemiological consequences of an incursion of highly pathogenic
     H5N1 avian influenza into the British poultry flock,
 Proceedings of the Royal
     Society London, 2008,
      275, 19-28
 
 
- Giafis, A and Roger G Bowers
 The Adaptive
     Dynamics of the Evolution of Host Resistance to Indirectly Transmitted Microparasites,
 Mathematical Biosciences,
     2007, 210, 668–679
 
 
- Hoyle, A. and
     R.G. Bowers
 When is
     evolutionary branching in predator-prey systems possible with an explicit
     carrying capacity?
 Mathematical Biosciences,
     207, 210, 1–16
 
 - Evans, T., Bowers
     R.G. and Mortimer, M
 Modelling the
     stability of Stx Lysogens.
 Journal of Theoretical Biology, 2007,
     248, 241–250
 
 - Yanni Xiao, Roger G. Bowers, Damian
     Clancy, Nigel P. French
 Dynamics of infection with multiple transmission mechanisms in
     unmanaged/managed animal populations.
 Theoretical Population Biology, 2007, 71, 408-423
 
 - Yanni
     Xiao, Roger G. Bowers, Damian Clancy & Nigel P. French 
 Pair approximations and the inclusion of indirect transmission:
     theory and application to between farm transmission
     of Salmonella.
 Journal of Theoretical Biology, 2007, 244, 532-540
 
 -  Rachel Norman and Roger G Bowers
 A Host-Host-Pathogen Model with Vaccination
     and its Application to Target and Reservoir Hosts.
 Mathematical Population Studies, 2007, 14, 31-56
 
 - Sharkey K., Bowers R.G., Morgan K., et
     al
 Pair-level approximations
     to the spatio-temporal dynamics of epidemics on
     asymmetric contact networks.
 Journal of Mathematical
     Biology, 2006, 53 61-85
 
 - Turner, J., Bowers, R.G., Begon, M., Robinson, S.E. and French, N.P.
 A
     semi-stochastic model of the transmission of Escherichia coli O157 in a
     typical UK
     dairy herd: Dynamics, sensitivity analysis and intervention/prevention
     strategies.
 J. theor. Biol.
     241, 2006, 806-822.
 
 - Yanni
     Xiao, Damian Clancy, Nigel P. French & Roger G. Bowers
 A semi-stochastic model for Salmonella infection in a multigroup herd.
 Mathematical Biosciences 200,
     2006, 214-233
 - Christley,
     R. M., Pinchbeck, G. L., Bowers R. G., Clancy D., French N. P., Bennett R.
     & Turner, J.,
 Infection in social networks:
     using network analysis to identify high risk individuals.
 American Journal of Epidemiology,
     2005, 162, 1-8
- Yanni
     Xiao, Roger G. Bowers, Damian Clancy, Nigel P. French.
 Understanding the dynamics of Salmonella infections in dairy
     herds: a modelling approach.
 J. theor
     Biology, 2005, 233, 159-175
- Roger G. Bowers,
     Andrew Hoyle, Andrew White and Michael Boots. 
 The geometric theory of adaptive evolution:
     trade-off and invasion plots.
 Journal of Theoretical Biology,
     2005, 233 363–377
- White, A. and Bowers,
     R. G.
 The adaptive dynamics of Lotka -Volterra systems with
     trade-offs: the role of interspecific parameter dependence in branching.
 Mathematical Biosciences, 2005,
     193, 101–117
- Michael Boots and
     Roger G. Bowers.
 The evolution of resistance
     through costly acquired immunity.
 Proceedings of the Royal Society London, 2004,
     271, 715 - 723
- Bowers, R. G., White
     A., Boots M., Geritz, S. and Kisdi E.
 Evolutionary
     branching/speciation: contrasting results from systems with explicit or
     emergent carrying capacities.
 Ecological Evolutionary Research,
     2003, 5, 883-891.
- Holt, R. B., Dobson,
     A., Begon M., Bowers, R. G. and Schauber, E.
 Parasite establishment in host
     communities.
 Ecology Letters, 2003, 6,
     837-842
- Bowers, R. G. and
     Boots, M.
 Baseline criteria and the
     evolution of hosts and parasites: D0, R0 and competition for resources
     between strains.
 J. theor.
     Biol., 2003, 223, 361-365
- Turner J., Begon, M., Bowers, R. G. and French, N.
 A model appropriate to the
     transmission of a human food-borne pathogen in a multigroup
     managed herd.
 Prev. Vet. Medicine,
     2003, 57, 175-198
- Turner J., Begon, M. & Bowers, R. G.
 Modelling pathogen transmission:
     the interrelation between local and global approaches.
 Proceedings of the Royal Society London, 2003,
     270, 105 -112
- Bowers R.G.
 Community dynamics, invasion
     criteria and the co-evolution of host and pathogen.
 Complexity International, 2002,
     08, pp15
- Begon,
     M., Bennett M., Bowers R. G., French N., Hazel S. and Turner J.
 A clarification of transmission
     terms in host-microparasite models: numbers,
     densities and areas.
 Epidemiology and Infection,
     2002, 129, 147-153
- Bowers R. G. and
     White, A.
 The adaptive dynamics of Lotka Volterra Models with
     trade-offs.
 Mathematical Biosciences, 2002,
     175, 67-81
- Bowers R. G. and Hodgkinson, D. E.
 Community dynamics, Trade-offs,
     Invasion Criteria and the Evolution of Host Resistance to Microparasites.
 J. theor.
     Biol., 2001, 212, 315-331
- Bowers R. G.
 The basic depression ratio of the
     host: the evolution of host resistance to microparasites.
 Proc. Roy. Soc
     Lond. B,
     2001, 268, 243-250
- White A., Begon M. & Bowers R.G.
 The spread of infection in
     seasonal host-pathogen systems.
 Oikos,
     1999, 85, 487-498
- Bowers R.G.
 A baseline model for the apparent
     competition between many host strains: the evolution of host resistance.
 Journal of theoretical Biology,
     1999, 200, 65-75
- Norman R., Bowers
     R.G., Begon M. & Hudson P.J.
 Population dynamics of Louping-ill in relation to host abundance.
 Journal of theoretical Biology,
     1999, 200, 111-118
- Lynch L.D., Bowers
     R.G., Begon M. & Thompson D.J.
 A dynamic refugee model and
     population regulation by insect parasitoids.
 Journal of Animal Ecology, 1998,
     67, 270-279
- Reade B., Bowers
     R.G., Begon M & Gaskell R.M.
 A model of disease and
     vaccination for infections with acute and chronic phases.
 Journal of theoretical Biology,
     1998, 190, 355-367
- Bowers R. G. &
     Turner J.
 Community structure and the
     interplay between interspecific infection and competition.
 Journal of theoretical Biology,
     1997, 187, 95-109
- White A., Begon M. & Bowers R. G.
 Host-pathogen systems in a
     spatially patchy environment.
 Proceedings of the Royal Society London B, 1996,
     263, 325-332
- White A., Bowers R.
     G. & Begon M.
 Host-pathogen cycles in
     self-regulated forest insect systems: resolving conflicting predictions.
 American Naturalist, 1996, 148,
     220-225
- White A., Bowers R.
     G. & Begon M.
 Red/blue chaotic power spectra.
 Nature, 1996, 381, 198
- White A., Begon M. & Bowers R. G.
 Explaining the colour of power
     spectra in chaotic ecological models.
 Proceedings of the Royal Society London B, 1996,
     263, 1731-1737
Recent conference contributions 
 - Computational and
     Mathematical Population Dynamics, Bordeaux 2010, “Evolutionary ecology,
     trade-offs and cyclic and chaotic population dynamics”
- MATHS2010, Edinburgh 2010.
     “Evolutionary behaviour, trade-offs and cyclic and chaotic population
     dynamics”
- Seventh European Conference
     on Mathematics Applied to Biology and Medicine, Edinburgh 2008. “The
     Evolution of Host Resistance: Applications of Trade-off and Invasion
     Plots”
- Mathematical Models in
     Evolution and Ecology, Sussex, 2007, “The evolution of host resistance to
     infection”
- Mathematical Models and
     Experimental Microbial Systems: Tools for Studying Evolution, Bath, 2007
- SIAM/SMB Life Sciences
     Conference, Raleigh, NC 2006. “Pair-Level Approximations to
     the Spatio-Temporal Dynamics of Epidemics on
     Asymmetric Contact Networks”
- Sixth European Conference
     on Mathematics Applied to Biology and Medicine, Dresden 2005. "The
     evolution of host resistance to microparasites".
     
- Mathematics 2005, Liverpool
     2005. 
- Inference for Stochastic
     Population Models in Epidemiology and Ecology, Edinburgh, 2004. "Modelling the
     spread of infection in dairy herds". 
- Computational and
     Mathematical Population Dynamics, Trento,
     2004. "The geometry of evolution: trade-offs, invasion curves,
     predator and prey". 
- International Conference on
     Mathematical Biology, Dundee, 2003.
     “Adaptive dynamics, trade-offs, Lotka-Volterra
     systems and the evolution of new species”. 
- Adaptive Dynamics Workshop,
     Turku, Finland 2002. 
- Fifth European Conference
     on Mathematics Applied to Biology and Medicine, Milan 2002. “The
     co-evolution of host and pathogen”. 
- XVIII Sitges
     Conferences: Statistical Mechanics of Complex Networks, Sitges (Barcelona)
     2002. "Contact networks and disease transmission: the interrelation
     between local and global approaches" 
- Macroscopic organisation
     from microscopic behaviour in immunology, ecology and epidemiology. Isaac
     Newton Institute for Mathematical Sciences, Cambridge 2001 
- Mathematics and Evolution,
     International Centre for Mathematical Sciences, Edinburgh 2001.
     "Co-evolution in host-pathogen communities" 
- Wallaceville
     AgR Campus, NZ 2000. "Adaptive dynamics and
     the evolution of host resistance to microparasites"
     
- Lincoln AgR
     Campus, NZ 2000. "Adaptive dynamics and the evolution of host
     resistance to microparasites" 
- Fifth International
     Conference on Complex Systems, Dunedin 2000. "Community dynamics,
     invasion criteria and the co-evolution of host and pathogen" 
- Adaptive Dynamics Forum,
     International Centre for Mathematical Sciences, Edinburgh 2000.
     "Understanding adaptive dynamics" 
- Fourth European Conference
     on Mathematics Applied to Biology and Medicine, Amsterdam 1999. "The evolution of
     host resistance to microparasites: apparent
     competition between many host strains" 
- 3rd European Conference on
     Mathematics Applied to Biology and Medicine, 6-10 October 1996, Heidelberg. 
Projects for prospective PhD students 
Applications of non-linear differential equations to problems in
evolution, population dynamics and the theory of infectious diseases
Non-linear ordinary and partial differential equations can be used to model
problems in evolution, population dynamics and the theory of infectious
diseases. In the last case both the spread through populations (epidemiology)
and the course of infection in individuals (immunodynamics)
may be investigated. Other forms of dynamical model - such as difference
equations or lattice based systems - are also used. Often the work is
interdisciplinary, requiring collaborations with biologists, veterinary or
medical scientists.
Many PhD projects are available in this area; a selection follows: 
 - The mathematical modelling
     of the evolution of new species.
- The mathematical modelling
     of the spread of human food-borne pathogens (such as E coli O157 or
     Salmonella) - on the farm, or later in the food chain.
- The evolution of pathogen
     virulence and/or host resistance.
- The immunodynamics
     of certain virus infections. The dynamics within individuals of the
     diversity of the pathogen, the viral load and the immune response.
- Chaos in population
     dynamics and epidemiology. The colour of natural and model time series.
List of current (and recent) postgraduates
and associated projects 
Recent grants 
 - 2007-12 Predicting the effects
     of climate change on infectious diseases of animals. Leverhulme
     £752,200.  Prof M Baylis, Prof ME Begon, Prof M Bennett, Prof RG Bowers, Dr R Christley, Dr AP Morse, Prof T Solomon
- 2007. Pair-Level
     Approximations to the Spatio-Temporal Dynamics
     of Epidemics on Asymmetric Contact Networks Royal Society 
- 2007. Avian Influenza
     Epidemic Modelling Defra £25,458.86 PIs Christley,
     R, Morgan, K, Bowers, R G
- 2004-07. Stochastic
     spatially explicit models of the likely spread of IHN, VHS and G. salaris in farmed and wild UK fish populations. DEFRA
     with Morgan, K and others. 
- 2004-09. PI on components
     of two programmes in the overarching VTRI grant. The programmes are (1)
     Between animal and between farm transmission: the role of behaviour,
     signalling, host genetics and management. (2) Verocytotoxin
     encoding bacteriophages – ecology and role in disease 
- 2002-06. Understanding the
     dynamics of endemic and epidemic Salmonella infections in cattle and pigs:
     A comparative modelling approach. DEFRA – with D. Clancy and N. French. 
- 1999-03. Mathematical
     modelling of the on-farm dynamics of food-borne human pathogens. DEFRA –
     with M. Begon and N. French 
- 1995 The population
     dynamics of two competing species or strains subject to infection. The Wellcome Trust 
- 1993-97. The population
     dynamics of mixed pathogen infections. The Wellcome
     Trust - with M. Begon 
- 1993-98. 1991-95.
     Ecological models of the epidemiology of diseases shared by vertebrate
     hosts. The Wellcome Trust – with M. Begon 
- 1993-99. Multi-species
     ecological models. The Royal Society, 1991 – with M. Begon
     
Personal interests 
I play squash badly but enjoy the beer afterwards. 
I walk a lot and enjoy the beer afterwards. 
I enjoy the theatre and drink the wine afterwards.
Visit the The Population Dynamics,
Epidemiology and Evolution Research Group Page 
Visit the Website for
the Defra project 
Understanding the dynamics of endemic and epidemic
salmonella infections in cattle and pigs: A comparative modelling approach.This includes a searchable reference database