The Interaction between Vector Life History and Short Vector Life in Vector-Borne Disease Transmission and Control

Epidemiological modelling has a vital role to play in policy planning and prediction for the control of vectors, and hence the subsequent control of vector-borne diseases. To decide between competing policies requires models that can generate accurate predictions, which in turn requires accurate knowledge of vector natural histories. Here we highlight the importance of the distribution of times between life-history events, using short-lived midge species as an example. In particular we focus on the distribution of the extrinsic incubation period (EIP) which determines the time between infection and becoming infectious, and the distribution of the length of the gonotrophic cycle which determines the time between successful bites. We show how different assumptions for these periods can radically change the basic reproductive ratio (R0) of an infection and additionally the impact of vector control on the infection. These findings highlight the need for detailed entomological data, based on laboratory experiments and field data, to correctly construct the next-generation of policy-informing models.

[1]  Joanne Turner,et al.  Modelling bluetongue virus transmission between farms using animal and vector movements , 2012, Scientific Reports.

[2]  D. Roberts Bluetongue: a review. , 1990 .

[3]  C. Garrett-Jones,et al.  Malaria vectorial capacity of a population of Anopheles gambiae: an exercise in epidemiological entomology. , 1969, Bulletin of the World Health Organization.

[4]  R. Bowers,et al.  Two-Host, Two-Vector Basic Reproduction Ratio (R 0) for Bluetongue , 2013, PloS one.

[5]  Pejman Rohani,et al.  Appropriate Models for the Management of Infectious Diseases , 2005, PLoS medicine.

[6]  S. Lal,et al.  Epidemiology and control of malaria , 1999, Indian journal of pediatrics.

[7]  Camille Szmaragd,et al.  A Modeling Framework to Describe the Transmission of Bluetongue Virus within and between Farms in Great Britain , 2009, PloS one.

[8]  H. P. Hudson,et al.  An application of the theory of probabilities to the study of a priori pathometry.—Part I , 1917 .

[9]  H. P. Hudson,et al.  An Application of the Theory of Probabilities to the Study of a Priori Pathometry.--Part III , 1917 .

[10]  D. Mollison Epidemic models : their structure and relation to data , 1996 .

[11]  David M. Hartley,et al.  A systematic review of mathematical models of mosquito-borne pathogen transmission: 1970–2010 , 2013, Journal of The Royal Society Interface.

[12]  K. Dietz The estimation of the basic reproduction number for infectious diseases , 1993, Statistical methods in medical research.

[13]  M. Keeling,et al.  Age- and bite-structured models for vector-borne diseases. , 2015, Epidemics.

[14]  C. Garrett-Jones,et al.  Prognosis for Interruption of Malaria Transmission Through Assessment of the Mosquito's Vectorial Capacity , 1964, Nature.

[15]  S. Gubbins,et al.  Temperature Dependence of the Extrinsic Incubation Period of Orbiviruses in Culicoides Biting Midges , 2011, PloS one.

[16]  F. Klebaner Introduction To Stochastic Calculus With Applications , 1999 .

[17]  A. Gerry,et al.  Seasonal Abundance and Survivorship of Culicoides sonorensis (Diptera: Ceratopogonidae) at a Southern California Dairy, with Reference to Potential Bluetongue Virus Transmission and Persistence , 2000, Journal of medical entomology.

[18]  P. Mellor,et al.  Control techniques for Culicoides biting midges and their application in the U.K. and northwestern Palaearctic , 2008, Medical and veterinary entomology.

[19]  P. Milligan,et al.  The kinetics of maturation of trypanosome infections in tsetse , 1995, Parasitology.

[20]  A. Read,et al.  How to Make Evolution-Proof Insecticides for Malaria Control , 2009, PLoS biology.

[21]  W. Mordue,et al.  Oogenesis and laboratory survival in the Scottish biting midge Culicoides impunctatus , 2006 .

[22]  G. Grimmett,et al.  Probability and random processes , 2002 .

[23]  Alberto Leon-Garcia,et al.  Probability and Random Processes For EE's (3rd Edition) , 2007 .

[24]  G. Macdonald,et al.  The analysis of the sporozoite rate. , 1952, Tropical diseases bulletin.

[25]  Simon Gubbins,et al.  Assessing the risk of bluetongue to UK livestock: uncertainty and sensitivity analyses of a temperature-dependent model for the basic reproduction number , 2007, Journal of The Royal Society Interface.

[26]  Jane-Ling Wang,et al.  Mosquitoes do senesce: departure from the paradigm of constant mortality. , 2007, The American journal of tropical medicine and hygiene.

[27]  J. Botella de Maglia,et al.  [Prevention of malaria]. , 1999, Revista clinica espanola.

[28]  A. Talbot The Accurate Numerical Inversion of Laplace Transforms , 1979 .

[29]  M. Ba,et al.  Temperature effects on the gonotrophic cycle of Culicoides variipennis (Diptera: Ceratopogonidae). , 1991 .

[30]  J. Sánchez-Vizcaíno,et al.  Control of bluetongue in Europe. , 2013, Veterinary microbiology.

[31]  Le Page,et al.  Complex Variables and the Laplace Transform for Engineers , 2010 .

[32]  B. Purse,et al.  Bionomics of temperate and tropical Culicoides midges: knowledge gaps and consequences for transmission of Culicoides-borne viruses. , 2015, Annual review of entomology.

[33]  Denis Mollison,et al.  The Structure of Epidemic Models , 1995 .

[34]  O. Diekmann,et al.  On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations , 1990, Journal of mathematical biology.

[35]  Timothy J. Lysyk,et al.  Effect of Temperature on Life History Parameters of Adult Culicoides sonorensis (Diptera: Ceratopogonidae) in Relation to Geographic Origin and Vectorial Capacity for Bluetongue Virus , 2007, Journal of medical entomology.

[36]  K. Dietz,et al.  Models for Vector-Borne Parasitic Diseases , 1980 .

[37]  Andrew J. Tatem,et al.  Recasting the theory of mosquito-borne pathogen transmission dynamics and control , 2014, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[38]  E. Schmidtmann,et al.  Environmental effects on vector competence and virogenesis of bluetongue virus in Culicoides: interpreting laboratory data in a field context. , 2004, Veterinaria italiana.

[39]  B. Grenfell Revisiting the basic reproductive number for malaria and its implications for malaria control , 2007 .

[40]  L. Christiansen,et al.  Simulating spread of Bluetongue Virus by flying vectors between hosts on pasture , 2012, Scientific Reports.

[41]  B. Mullens,et al.  Temperature effects on the gonotrophic cycle of Culicoides variipennis (Diptera: Ceratopogonidae). , 1991, Journal of the American Mosquito Control Association.

[42]  L. Cator,et al.  Alterations in mosquito behaviour by malaria parasites: potential impact on force of infection , 2014, Malaria Journal.