A Flexible Spatial Framework for Modeling Spread of Pathogens in Animals with Biosurveillance and Disease Control Applications

Abstract: Biosurveillance activities focus on acquiring and analyzing epidemiological and biological data to interpret unfolding events and predict outcomes in infectious disease outbreaks. We describe a mathematical modeling framework based on geographically aligned data sources and with appropriate flexibility that partitions the modeling of disease spread into two distinct but coupled levels. A top-level stochastic simulation is defined on a network with nodes representing user-configurable geospatial ―patches‖. Intra-patch disease spread is treated with differential equations that assume uniform mixing within the patch. We use U.S. county-level aggregated data on animal populations and parameters from the literature to simulate epidemic spread of two strikingly different animal diseases agents: foot-and-mouth disease and highly pathogenic avian influenza. Results demonstrate the capability of this framework to leverage low-fidelity data while producing meaningful output to inform biosurveillance and disease control measures. For example, we show that the possible magnitude of an outbreak is sensitive to the starting location of the outbreak,

[1]  Meyer Rf,et al.  Foot-and-mouth disease: a review of the virus and the symptoms. , 2001 .

[2]  Matthieu Guillemain,et al.  Spread of Avian Influenza Viruses by Common Teal (Anas crecca) in Europe , 2009, PloS one.

[3]  Ryuichi Sakamoto,et al.  Long lasting immunity in chickens induced by a single shot of influenza vaccine prepared from inactivated non-pathogenic H5N1 virus particles against challenge with a highly pathogenic avian influenza virus. , 2009, Vaccine.

[4]  S. Alexandersen,et al.  Studies of quantitative parameters of virus excretion and transmission in pigs and cattle experimentally infected with foot-and-mouth disease virus. , 2003, Journal of comparative pathology.

[5]  J. Hyman,et al.  Human-mediated foot-and-mouth disease epidemic dispersal: disease and vector clusters. , 2006, Journal of veterinary medicine. B, Infectious diseases and veterinary public health.

[6]  S. Cleaveland,et al.  Molecular epidemiology of foot-and-mouth disease virus. , 2003, Virus research.

[7]  S. Cornell,et al.  Dynamics of the 2001 UK Foot and Mouth Epidemic: Stochastic Dispersal in a Heterogeneous Landscape , 2001, Science.

[8]  C. Scoglio,et al.  A network-based meta-population approach to model Rift Valley fever epidemics. , 2010, Journal of theoretical biology.

[9]  Tung Nguyen,et al.  Differences in Pathogenicity, Response to Vaccination, and Innate Immune Responses in Different Types of Ducks Infected with a Virulent H5N1 Highly Pathogenic Avian Influenza Virus from Vietnam , 2012, Avian diseases.

[10]  M. Callens,et al.  Detection of foot-and-mouth disease by reverse transcription polymerase chain reaction and virus isolation in contact sheep without clinical signs of foot-and-mouth disease. , 1998, The Veterinary quarterly.

[11]  Mark C Thurmond,et al.  Benefit-cost analysis of vaccination and preemptive slaughter as a means of eradicating foot-and-mouth disease. , 2003, American journal of veterinary research.

[12]  Xianning Liu,et al.  A geographical spread of vaccine-resistance in avian influenza epidemics. , 2009, Journal of theoretical biology.

[13]  L. Bettencourt,et al.  Real Time Bayesian Estimation of the Epidemic Potential of Emerging Infectious Diseases , 2008, PloS one.

[14]  Gunnar Gunnarsson,et al.  Effects of influenza A virus infection on migrating mallard ducks , 2009, Proceedings of the Royal Society B: Biological Sciences.

[15]  P. Barnett,et al.  The role of small ruminants in the epidemiology and transmission of foot-and-mouth disease. , 1999, Veterinary journal.

[16]  Kenji Tsukamoto,et al.  Experimental Assessment of the Pathogenicity of H5N1 Influenza A Viruses Isolated in Japan , 2005, Avian diseases.

[17]  R F Meyer,et al.  Foot-and-mouth disease: a review of the virus and the symptoms. , 2001, Journal of environmental health.

[18]  S. Alexandersen,et al.  Determinants of early foot-and-mouth disease virus dynamics in pigs. , 2004, Journal of comparative pathology.

[19]  Christl A. Donnelly,et al.  Transmission intensity and impact of control policies on the foot and mouth epidemic in Great Britain , 2001, Nature.

[20]  Robert B. Couch,et al.  A Randomized Clinical Trial of an Inactivated Avian Influenza A (H7N7) Vaccine , 2012, PloS one.

[21]  S. Alexandersen,et al.  Predicting the spread of foot and mouth disease by airborne virus. , 2002, Revue scientifique et technique.

[22]  N. Khardori,et al.  Triple-Reassortant Swine Influenza A (H1) in Humans in the United States, 2005–2009 , 2009 .

[23]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[24]  Rowland R Kao,et al.  The role of mathematical modelling in the control of the 2001 FMD epidemic in the UK. , 2002, Trends in microbiology.

[25]  P. Gerard,et al.  Effects of F-strain Mycoplasma gallisepticum inoculation at twelve weeks of age on the blood characteristics of commercial egg laying hens. , 2003, Poultry science.

[26]  E. Lyons,et al.  Pandemic Potential of a Strain of Influenza A (H1N1): Early Findings , 2009, Science.

[27]  Zhidong Zhang,et al.  Aspects of the persistence of foot-and-mouth disease virus in animals--the carrier problem. , 2002, Microbes and infection.

[28]  J. Hyman,et al.  Disease properties, geography, and mitigation strategies in a simulation spread of rinderpest across the United States , 2011, Veterinary research.

[29]  Julien Arino,et al.  Quarantine in a multi-species epidemic model with spatial dynamics. , 2007, Mathematical biosciences.

[30]  Christl A. Donnelly,et al.  Estimation of Transmission Parameters of H5N1 Avian Influenza Virus in Chickens , 2009, PLoS pathogens.

[31]  Simon Cauchemez,et al.  Assessing the severity of the novel influenza A/H1N1 pandemic , 2009, BMJ : British Medical Journal.

[32]  John F. Yanagida,et al.  Spatio-Temporal Occurrence Modeling of Highly Pathogenic Avian Influenza Subtype H5N1: A Case Study in the Red River Delta, Vietnam , 2013, ISPRS Int. J. Geo Inf..

[33]  Y. Guan,et al.  Characterization of avian H5N1 influenza viruses from poultry in Hong Kong. , 1998, Virology.

[34]  Kitching Rp,et al.  Clinical variation in foot and mouth disease: sheep and goats. , 2002 .

[35]  D. Rock,et al.  Genetic and Phenotypic Variation of Foot-and-Mouth Disease Virus during Serial Passages in a Natural Host , 2007, Journal of Virology.

[36]  Yiannis E. Papelis,et al.  An Epidemiological Model of Rift Valley Fever with Spatial Dynamics , 2012, Comput. Math. Methods Medicine.

[37]  Tim Lant,et al.  Towards Real Time Epidemiology: Data Assimilation, Modeling and Anomaly Detection of Health Surveillance Data Streams , 2007, BioSurveillance.

[38]  Carl T. Bergstrom,et al.  Invited commentary: real-time tracking of control measures for emerging infections. , 2004, American journal of epidemiology.

[39]  Martin Suter,et al.  Small World , 2002 .

[40]  Levan Elbakidze,et al.  Economics analysis of mitigation strategies for FMD introduction in highly concentrated animal feeding regions , 2008 .

[41]  S. Alexandersen,et al.  Further studies to quantify the dose of natural aerosols of foot-and-mouth disease virus for pigs , 2002, Epidemiology and Infection.

[42]  David P. Anderson,et al.  Rapid effective trace-back capability value: a case study of foot-and-mouth in the Texas High Plains. , 2013, Preventive veterinary medicine.

[43]  Nathan D. Wolfe,et al.  Origins of major human infectious diseases , 2007, Nature.

[44]  M. Gilbert,et al.  Patterns of spread and persistence of foot-and-mouth disease types A, O and Asia-1 in Turkey: a meta-population approach , 2005, Epidemiology and Infection.

[45]  C. Marín,et al.  Salmonella detection in feces during broiler rearing and after live transport to the slaughterhouse. , 2009, Poultry science.

[46]  M J Day Anemia in the dog and cat. , 1998, The Veterinary quarterly.

[47]  Søren Rasmussen,et al.  Modelling of discrete spatial variation in epidemiology with SAS using GLIMMIX , 2004, Comput. Methods Programs Biomed..

[48]  R. Kitching,et al.  Clinical variation in foot and mouth disease: sheep and goats. , 2002, Revue scientifique et technique.

[49]  M Beer,et al.  Epidemiological and ornithological aspects of outbreaks of highly pathogenic avian influenza virus H5N1 of Asian lineage in wild birds in Germany, 2006 and 2007. , 2009, Transboundary and emerging diseases.

[50]  Philippe Buchy,et al.  Low Frequency of Poultry-to-Human H5N1 Transmission, Southern Cambodia, 2005 , 2006, Emerging infectious diseases.

[51]  Valerie Mioulet,et al.  Serial passage of foot-and-mouth disease virus in sheep reveals declining levels of viraemia over time. , 2002, The Journal of general virology.

[52]  J. Hyman,et al.  Lessons from Nigeria: the role of roads in the geo-temporal progression of avian influenza (H5N1) virus , 2009, Epidemiology and Infection.

[53]  A. Engel,et al.  PloS One 2012 , 2015 .

[54]  Myra E. Shields Agro-Terrorism, Biotechnology, and BIOSIS , 2003 .

[55]  F. Toka,et al.  Immune evasion during foot‐and‐mouth disease virus infection of swine , 2008, Immunological reviews.

[56]  L De Simone,et al.  The impact of climate change on the epidemiology and control of Rift Valley fever. , 2008, Revue scientifique et technique.

[57]  G. Belsham Distinctive features of foot-and-mouth disease virus, a member of the picornavirus family; aspects of virus protein synthesis, protein processing and structure , 1993, Progress in Biophysics and Molecular Biology.

[58]  M C M de Jong,et al.  Foot and mouth disease virus transmission during the incubation period of the disease in piglets, lambs, calves, and dairy cows. , 2009, Preventive veterinary medicine.

[59]  T. Roughsedge,et al.  Implications of Host Genetic Variation on the Risk and Prevalence of Infectious Diseases Transmitted Through the Environment , 2011, Genetics.

[60]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[61]  Yi Guan,et al.  Experimental challenge of chicken vaccinated with commercially available H5 vaccines reveals loss of protection to some highly pathogenic avian influenza H5N1 strains circulating in Hong Kong/China. , 2013, Vaccine.

[62]  Christl A. Donnelly,et al.  The Foot-and-Mouth Epidemic in Great Britain: Pattern of Spread and Impact of Interventions , 2001, Science.

[63]  R. Sellers,et al.  Airborne excretion of foot-and-mouth disease virus , 1969, Epidemiology and Infection.

[64]  Shigui Ruan,et al.  Modeling the Spatial Spread of Rift Valley Fever in Egypt , 2013, Bulletin of mathematical biology.

[65]  F O Fasina,et al.  The financial cost implications of the highly pathogenic notifiable avian influenza H5N1 in Nigeria. , 2008, The Onderstepoort journal of veterinary research.

[66]  Gregory A Poland,et al.  Vaccines against seasonal and avian influenza: recent advances. , 2008, Vaccine.

[67]  B J Cowling,et al.  Effectiveness of control measures during the SARS epidemic in Beijing: a comparison of the Rt curve and the epidemic curve , 2007, Epidemiology and Infection.