Spatio-temporal analysis of coinfection using wavefronts of Escherichia coli O157: H7 in a dairy cattle farm

Dziva, 2004, Identification of escherichia coli O157: H7 genes influencing colonization of the bovine gastrointestinal tract using signature-tagged mutagenesis, Microbiology, 150, 3631, 10.1099/mic.0.27448-0 Jaros, 2016, Nationwide prevalence and risk factors for faecal carriage of Escherichia coli O157 and O26 in very young calves and adult cattle at slaughter in New Zealand, Epidemiol. Infect., 144, 1736, 10.1017/S0950268815003209 Parma, 2000, Virulence genotypes and serotypes of verotoxigenic Escherichia coli isolated from cattle and foods in Argentina, Eur. J. Epidemiol., 16, 757, 10.1023/A:1026746016896 Ayscue, 2009, Modeling on-farm escherichia coli O157:H7 population dynamics, Foodborne Pathog. Dis., 6, 461, 10.1089/fpd.2008.0235 Doyle, 1997, Foodborne pathogenic bacteria. Escherichia coli O157:H7, 171 World Health Organization, 2018 LeJeune, 2004, Longitudinal study of fecal shedding of Escherichia coli O157:H7 in feedlot cattle: predominance and persistence of specific clonal types despite massive cattle population turnover, Appl. Environ. Microbiol., 70, 377, 10.1128/AEM.70.1.377-384.2004 Hussein, 2005, Prevalence of Shiga toxin-producing escherichia coli in dairy cattle and their products, J. Dairy Sci., 88, 10.3168/jds.S0022-0302(05)72706-5 Wells, 1991, Isolation of Escherichia coli serotype O157:H7 and other Shiga-like-toxin-producing E. coli from dairy cattle, J. Clin. Microbiol., 29, 985, 10.1128/jcm.29.5.985-989.1991 Faith, 1996, Prevalence and clonal nature of Escherichia coli O157:H7 on dairy farms in Wisconsin, Appl. Environ. Microbiol., 62, 10.1128/aem.62.5.1519-1525.1996 LeJeune, 2001, Cattle water troughs as reservoirs of Escherichia coli O157, Appl. Environ. Microbiol., 67, 3053, 10.1128/AEM.67.7.3053-3057.2001 LeJeune, 2001, Livestock drinking water microbiology and the factors influencing the quality of drinking water offered to cattle, J. Dairy Sci., 84, 1856, 10.3168/jds.S0022-0302(01)74626-7 Rahn, 1997, Persistence of Escherichia coli O157 H7 in dairy cattle and the dairy farm environment, Epidemiol. Infect., 119, 251, 10.1017/S0950268897007929 D’OAoust, 1997, Foodborne pathogenic bacteria. Salmonella species, 129 Frenkel, 1990, Toxoplasmosis in human beings, JAVMA, 196, 240 Anderson, 1991 Bani-Yaghoub, 2012, Reproduction numbers for infections with free-living pathogens growing in the environment, J. Biol. Dyn., 6, 923, 10.1080/17513758.2012.693206 Bani-Yaghoub, 2019, Effectiveness of control and preventive measures influenced by pathogen trait evolution: Example of escherichia coli O157:H7, J. Comput. Appl. Math., 362, 366, 10.1016/j.cam.2018.09.008 Breban, 2010, A general multi-strain model with environmental transmission: Invasion conditions for the disease-free and endemic states, J. Theoret. Biol., 264, 729, 10.1016/j.jtbi.2010.03.005 Gautam, 2011, Modeling the effect of seasonal variation in ambient temperature on the transmission dynamics of a pathogen with a free-living stage: example of Escherichia coli O157:H7 in a dairy herd, Prev. Vet. Med., 102, 10, 10.1016/j.prevetmed.2011.06.008 Gautam, 2015, Transmission of Escherichia coli O157:H7 in cattle is influenced by the level of environmental contamination, Epidemiol. Infect., 143, 274, 10.1017/S0950268814000867 Gautam, 2012, The strain-specific dynamics of Escherichia coli O157:H7 faecal shedding in cattle post inoculation, J. Biol. Dyn., 6, 1052, 10.1080/17513758.2012.722232 Kulow, 2012, Differences in colonization and shedding patterns after oral challenge of cattle with three Escherichia coli O157:H7 strains, Appl. Environ. Microbiol., 78, 8045, 10.1128/AEM.02363-12 Gao, 2016, Coinfection dynamics of two diseases in a single host population, J. Math. Anal. Appl., 442, 171, 10.1016/j.jmaa.2016.04.039 Mosquera, 1998, Evolution of virulence: a unified framework for coinfection and superinfection, J. Theoret. Biol., 195, 293, 10.1006/jtbi.1998.0793 Bani-Yaghoub, 2015, Understanding the interplay between density dependent birth function and maturation time delay using a reaction–diffusion population model, Ecol. Complex., 21, 14, 10.1016/j.ecocom.2014.10.007 Bani-Yaghoub, 2016, Existence and stability of stationary waves of a population model with strong Allee effect, J. Comput. Appl. Math., 307, 385, 10.1016/j.cam.2015.11.021 Bani-Yaghoub, 2018, Numerical simulations of traveling and stationary wave solutions arising from reaction–diffusion population models with delay and nonlocality, Int. J. Appl. Comput. Math., 4, 28, 10.1007/s40819-017-0441-2 Bani-Yaghoub, 2014, Modeling and numerical simulations of single species dispersal in symmetrical domains, Int. J. Appl. Math., 27, 525 Bani-Yaghoub, 2016, Approximate wave solutions of delay diffusive models using a differential transform method, Appl. Math. E-Notes, 16, 99 Bani-Yaghoub, 2017, Approximating the traveling wavefront for a nonlocal delayed reaction–diffusion equation, J. Appl. Math. Comput., 53, 77, 10.1007/s12190-015-0958-7 Bani-Yaghoub, 2014, Oscillatory traveling waves for a population diffusion model with two age classes and nonlocality induced by maturation delay, Comput. Appl. Math., 34, 309, 10.1007/s40314-014-0118-y Bani-Yaghoub, 2020, Delay-induced instabilities of stationary solutions in a single species nonlocal hyperbolic-parabolic population model, Discrete Contin. Dyn. Syst. Ser. S, 13, 2509 Volpert, 1994, vol. 140 Bani-Yaghoub, 2012, Effectiveness of environmental decontamination in control of infectious diseases, Epidemio. Infect., 140, 542, 10.1017/S0950268811000604 Perko, 2001 Hollis, 1987, Global existence and boundedness in reaction diffusion systems, SIAM J. Math. Anal., 18, 744, 10.1137/0518057 Antolin, 2008, Unpacking β: Within-host dynamics and the evolutionary ecology of pathogen transmission, Annu. Rev. Ecol. Evol. Syst., 39, 415, 10.1146/annurev.ecolsys.37.091305.110119 Bonsall, 2004, Life history trade-offs assemble ecological guilds, Science, 306, 111, 10.1126/science.1100680 Dietz, 1993, The estimation of the basic reproduction number for infectious diseases, Stat. Methods Med. Res., 2, 23, 10.1177/096228029300200103 Mayhew, 2006 Diekmann J.A.P. Heesterbeek, 2000 van den Driessche, 2002, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180, 29, 10.1016/S0025-5564(02)00108-6 Hurford, 2010, Next-generation tools for evolutionary invasion analyses, J. R. Soc. Interface, 561, 10.1098/rsif.2009.0448 Turner, 2003, A model appropriate to the transmission of a human food-borne pathogen in a multigroup managed herd, Prev. Vet. Med., 57, 175, 10.1016/S0167-5877(03)00006-0 Xiao, 2007, Dynamics of infection with multiple transmission mechanisms in unmanaged/managed animal populations, Theor. Pop. Biol., 71, 408, 10.1016/j.tpb.2007.02.003 Gardner, 1990, Mortality, morbidity, case-fatality, and culling rates for California dairy cattle as evaluated by the National Animal Health Monitoring System, 1986–1987, Prev. Vet. Med., 8, 157, 10.1016/0167-5877(90)90008-6 Aly, 2015, Turing instability in a SIS epidemiological model in discrete space with self and cross migration, Differ. Equ. Dyn. Syst., 23, 69, 10.1007/s12591-013-0184-4 Putra, 2019, Turing patterns of non-linear S-I model on random and real-structure networks with diarrhea data, Sci. Rep., 9, 10.1038/s41598-019-45069-3 Stancevic, 2013, Turing patterns from dynamics of early HIV infection, Bull. Math. Biol., 75, 774, 10.1007/s11538-013-9834-5 Sun, 2012, Pattern formation of an epidemic model with diffusion, Nonlinear Dyn., 69, 1097, 10.1007/s11071-012-0330-5 Venegas-Vargas, 2016, Factors associated with Shiga toxin-producing Escherichia coli shedding by dairy and beef cattle manning, Appl. Environ. Microbiol. 2016, 82, 5049, 10.1128/AEM.00829-16 Espejo, 2013, Effect of delayed exposure of cattle to mycobacterium avium subsp paratuberculosis on the development of subclinical and clinical johne’s disease, Am. J. Vet. Res., 74, 1304, 10.2460/ajvr.74.10.1304 Konboon, 2018, A nested compartmental model to assess the efficacy of paratuberculosis control measures on U.S. dairy farms, PLoS One, 13, 10.1371/journal.pone.0203190 Aly, 2015, Off-site rearing of heifers reduces the risk of mycobacterium avium ssp. Paratuberculosis ELISA seroconversion and fecal shedding in a California dairy herd, J. Dairy Sci., 98, 1805, 10.3168/jds.2014-8759