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Publications

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  • Hurtado, P.J. & Richards, C. 2020. Finding Reproduction Numbers for Epidemic Models & Predator-Prey Models of Arbitrary Finite Dimension Using The Generalized Linear Chain Trick. arXiv:2008.06768
  • Hurtado, P.J. & Richards, C. 2021. Open Access logo Building mean field ODE models using the generalized linear chain trick & Markov chain theory. Journal of Biological Dynamics. doi:10.1080/17513758.2021.1912418 (Replaces arXiv:2007.03902)
  • Hurtado, P.J. & Richards, C. 2020. Open Access logo A procedure for deriving new ODE models: Using the generalized linear chain trick to incorporate phase-type distributed delay and dwell time assumptions. Mathematics in Applied Sciences and Engineering, 1(4):274-438 (online 29 December, 2020). doi:10.5206/mase/10857 (Replaces arXiv:2008.01318)
  • Hurtado, P.J. 2020. Building New Models: Rethinking and Revising ODE Model Assumptions. In: Callender Highlander H., Capaldi A., Diaz Eaton C. (eds) An Introduction to Undergraduate Research in Computational and Mathematical Biology. Foundations for Undergraduate Research in Mathematics. Birkhäuser, Cham. doi:10.1007/978-3-030-33645-5_1
  • Hurtado, P.J. & Kirosingh, A.S. 2019. Open Access logo Generalizations of the `Linear Chain Trick': Incorporating more flexible dwell time distributions into mean field ODE models. Journal of Mathematical Biology. doi:10.1007/s00285-019-01412-w (arXiv: 1808.07571)
  • Lee A. Dyer, Casey S. Philbin, Kaitlin M. Ochsenrider, Lora A. Richards, Tara J. Massad, Angela M. Smilanich, Matthew L. Forister, Thomas L. Parchman, Lanie M. Galland, Paul J. Hurtado, Anne E. Espeset, Andrea E. Glassmire, Joshua G. Harrison, Carmen Mo, Su’ad Yoon, Nicholas A. Pardikes, Nadya D. Muchoney, Joshua P. Jahner, Heather L. Slinn, Oren Shelef, Craig D. Dodson, Massuo J. Kato, Lydia F. Yamaguchi & Christopher S. Jeffrey. 2018. Modern approaches to study plant–insect interactions in chemical ecology. Nature Reviews Chemistry. doi:10.1038/s41570-018-0009-7
  • Pardikes N., Lumpkin W., Hurtado P.J., Dyer, L. 2018. Open Access logo Simulated tri-trophic networks reveal complex relationships between species diversity and interaction diversity. PLOS ONE 13(3): e0193822. doi:10.1371/journal.pone.0193822
  • Heather L. Slinn, Lora A. Richards, Lee A. Dyer, Paul J. Hurtado & Angela M. Smilanich. 2018. Across Multiple Species, Phytochemical Diversity and Herbivore Diet Breadth Have Cascading Effects on Herbivore Immunity and Parasitism in a Tropical Model System. Frontiers in Plant Science. doi:10.3389/fpls.2018.00656
  • Osnas E., Hurtado P.J., Dobson A. 2015. Open Access logo Evolution of Pathogen Virulence Across Space During an Epidemic. American Naturalist. 185:3, 332-342 doi:10.1086/679734
  • Hurtado P.J., Hall S., Ellner S.P. 2014. Infectious Disease in Consumer Populations: Dynamic Consequences of Producer-Mediated Disease Transmission and Infectiousness. Journal of Theoretical Ecology. doi:10.1007/s12080-013-0208-2
  • Hurtado P.J. 2012. Within-Host Dynamics of Mycoplasma Infections: Conjunctivitis in Wild Passerine Birds. Journal of Theoretical Biology. doi:10.1016/j.jtbi.2012.04.018. [PDF]
  • Hurtado P.J. Infectious Disease Ecology: Immune-Pathogen Dynamics, And How Trophic Interactions Drive Prey-Predator-Disease Dynamics. (Ph.D. Thesis; January 2012). eCommons@Cornell
  • Simpson J., Hurtado P.J., Medlock J., Molei G., Andreadis T. G., Galvani A., Diuk-Wasser M. A. 2011. Vector host-feeding preferences drive transmission of multi-host pathogens: West Nile virus as a model system. Proc. R. Soc. B. (online 17 August, 2011) doi:10.1098/rspb.2011.1282
  • Hurtado P.J. 2008. The Potential Impact of Disease on the Migratory Structure of a Partially Migratory Passerine Population. Bulletin of Mathematical Biology Nov; 70(8):2264-82. doi:10.1007/s11538-008-9345-y
  • Hurtado P.J., Mejran M., Morales T., Schwager D., Lanham M. 2002. Open Access logo Chronic Wasting Disease: The Effects of Environmental Prion Density and Interactions between Populations on Disease Dynamics. MTBI Technical Paper, Article #BU-1617-M. (PDF)
  • Hurtado, P.J. Probable Black Swift (Cypseloides niger) Nesting Colony Found in the Wet Mountains, Pueblo County. Journal of the Colorado Field Ornithologists, 36(2) April 2002.
  • Cunningham C., Hurtado P.J., Watson H., Karev G. 2001. Open Access logo Different Strokes for Different Folks: The Evolution of the Distribution of Traits within Heterogeneous Populations. MTBI Technical Paper, Article #BU-1580-M. (PDF)
  • Loefler, Charles W. First Pueblo County Record of Smooth Green Snake (Liochlorophys vernalis). Herpetological Review, 32(1), 2001 pp 60. [Documentation by Paul Hurtado and Margaret DiMatteo]