Department of
Mathematics

Student Publications

 Manuscripts submitted or in preparation

  • Garcia, D. G., & Oh, Y. M. Involute/evolute of a rectifying curve in 3D-Minkowski spaces. In preparation.
  • Garcia, D.G., & Oh, Y. M. A space curve satisfying  τ/κ=1/s. In preparation.
  • Park, J., & Oh, Y. M. Involute & evolute of rectifying space curves. In preparation.
  • Henson, S. M., Hayward, J. L., Dennis, B., Foster, L. A., & Dass, S. Compartmental models of animal behavior. In preparation.
  • Henson, S. M., Hayward, J. L., Cushing, J. M., Atkins, G. J., Weir, S. K., Polski, A. A., Watson, W., Sandler, A. G., & Saint Martin, W. Changes in sea surface temperature associated with abrupt changes in feeding and reproductive strategies at a Glaucous-winged Gull (Larus glaucescens) colony. In preparation.
  • Hayward, J. L., Henson, S. M. Tkachuck, R., Tkachuck, C., Payne, B. G., & Johnson, C. K.  Predicting numbers of loafing gulls close to Pacific and Atlantic breeding colonies. In preparation.

Refereed papers

  1. Block, D., & Reyes Rivas, M. (2024). The existence and uniqueness of a Nash equilibrium in (short-time) mean field games. https:// doi.org/10.48550/arXiv.2210.10117 
  2. Köppe, M., Reyes Rivas, M., & Xu, L. (2024). Determining sharp proximity bounds for low row rank and Delta-modularity. Refereed and accepted as a part of the 2024 Informs Optimization Society Conference https://sites.google.com/view/ios2024refereed? usp=sharing&pli=1 
  3. Navarro, A.J.R., & Oh, Y.M. 2024. Extending natural mates in Euclidean 3-space and applications to Bertrand pairs. International Electronic Journal of Geometry, 17(1):252-258.
  4. Garcia-Roblero, D.G., & Oh, Y.M. 2023. On determining the equation of a Salkowski curve satisfying tau/kappa=1/s, The PUMP Journal of Undergraduate Research, 6:346-353.
  5. Kang, J. H., & Robertson T. E. 2023. An elliptic nonlinear system of the two functions with application, Journal of Partial Differential Equations, 36:2:1-25.
  6. Kang, J. H. & Ford, L. L. 2023. A predator-prey biological model with combined birth rates, self-limitation and competition terms, Memoirs on Differential Equations and Mathematical Physics, 88:1-19.
  7. Kang, J. H., & Robertson, T. 2022. An elliptic nonlinear system of multiple functions with application. Dynamics of PDE, 19.2:141-162.
  8. Polski, A. A., Mitchell, A. T., Osborn, K. J., Joo, E., Sandler, A. G., Henson, S. M., & Hayward, J. L. 2021. Egg cannibalism by Glacuous-winged Gulls (Larus glaucescens). Wilson Journal of Ornithology, 133:552-567. doi.org/10.1676/20-00072
  9. Nurhan, Y. I., & Henson, S. M. 2021. Cannibalism and synchrony in seabird egg-laying behavior. Natural Resource Modeling, 34: e12325. doi.org/10.1111/nrm.12325
  10. Duan, J., Malakhov, M. M., Pellett, J. J. Phadke, I. S., Barber, J., & Blackwood, J. C. 2021. Management efficacy in a metapopulation model of white-nose syndrome. Natural Resource Modeling, 34: e12304.  https://doi.org/10.1111/nrm.12304
  11. Nurhan, Y. I., & Henson, S. M. 2021. Cannibalism and Synchrony in Seabird Egg-laying Behavior. Natural Resource Modeling, 34: e12325. https://doi.org/10.1111/nrm.12325 
  12. Weir, S. K., Henson, S. M., Hayward, J. L., Atkins, G. J., Polski, A. A., Watson, W. W., & Sandler, A. G.  2020. Every-other-day clutch-initiation synchrony as an adaptive response to egg cannibalism in Glaucous-winged Gulls (Larus glaucescens). Wilson Journal of Ornithology 132:575–586. doi.org/10.1676/19-82
  13.  Krzywoń, Ł., & Oh, Y. M. 2020. Time-like rectifying curves in E_1^4. The Pi Mu Epsilon Journal, 15(2): 99-105.
  14. Weir, S. K., Henson, S. M., Hayward, J. L., Atkins, G. J., Polski, A. A., Watson, W.W., & Sandler, A. G. 2020. Every-other-day clutch-initiation synchrony as an adaptive response to egg cannibalism in Glaucous-winged Gulls (Larus glaucescens). Wilson Journal of Ornithology, 132:575–586.
  15. Gallos, D., Gallos, C., Watson, W., & Henson, S.M. 2018. A note on synchronous egg laying in a seabird behavior model. Journal of Difference Equations and Applications 24:1953-1966. https://doi.org/10.1080/10236198.2018.1544633. 
  16. Robertson, S. L., Henson, S. M., Robertson, T., & Cushing, J. M. 2018. A matter of maturity: To delay or not to delay? Continuous-time compartmental models of structured populations in the literature 2000-2016. Natural Resource Modeling 31:e12160. https://doi.org/10.1111/nrm.12160 
  17. Robertson, S. L., Henson, S. M., Robertson, T., & Cushing,  J. M.  2018. A matter of maturity: To delay or not to delay? Continuous-time compartmental models of structured populations in the literature 2000-2016. Natural Resource Modeling 31:e12160. https://doi.org/10.1111/nrm.12160 
  18. McWilliams, K. M., Sandler, A. G., Atkins, G. J., Henson, S. M., & Hayward. J. L. 2018. Courtship and copulation in Glaucous-winged Gulls, Larus glaucescens, and the influence of environmental variables. Wilson Journal of Ornithology ,130:270–285. 
  19. Robertson, T., & Kang, J. H. 2017. Region of smooth functions for positive solutions to an elliptic biological model. International Journal of Pure and Applied Mathematics, 116.3:629-636.  doi: 10.12732/ijpam.v116i3.8
  20. Vienhage, P., Barcomb, H., Marshall, K., Black W. A., Coons, A., Tran, H. T., Nguyen, T.M., Guillen, A.T., Yoh, J., Kizer, J., & Rogers, B.A.  2017. War-gaming application for future space systems acquisition: MATLAB implementation of war-gaming acquisition models and simulation results. SPIE, Sensors and Systems for Space Applications X.  10196(9):1-10. doi: 10.1117/12.2263247
  21. Logan, J., & Y.M. Oh. 2017. Characterization of rectifying and sphere curves in R³. American Journal of Undergraduate Research, 14.2:91-94.
  22. Smith, R. S., Weldon, L. M., Hayward, J. L., & S. M. Henson. 2017. Time lags associated with effects of oceanic conditions on seabird breeding in the Salish Sea region of the northern California Current system. Marine Ornithology, 45:39-42.
  23. Atkins, G. J., Reichert, A. A., Henson, S. M., & Hayward, J. L. 2017. Copulation call coordinates timing of head-tossing and mounting behaviors in neighboring Glaucous-winged Gulls (Larus glaucenscens).  Wilson Journal of Ornithology, 129:560-567.
  24. Robertson, T. & Kang, J.H. 2016. A general elliptic nonlinear system of two functions with application. International Electronic Journal of Pure and Applied Mathematics, 10.2:115-125.
  25. Robertson, T. & Kang, J.H. 2016. A general elliptic nonlinear system of multiple functions with application. International Electronic Journal of Pure and Applied Mathematics, 10.2:139-180. 
  26. Sandler, A. G., Megna, L. C., Hayward, J. L., Henson, S. M., Tkachuck, C. M., & Tkachuck, R. D. 2016. Every-other-day clutch-initiation synchrony in ring-billed gulls (Larus delawarensis). Wilson Journal of Ornithology, 128:760-765.
  27. Atkins, G. J., Sandler, A. G., McLarty, M., Henson, S. M., & Hayward, J. L. 2015. Oviposition behavior in Glaucous-winged Gulls (Larus Glaucenscens). Wilson Journal of Ornithology, 127:486-493.
  28. Payne, B. G., Henson, S. M., Hayward, J. L., Megna, L. C., & Velastegui Chavez, S. R., 2015.Environmental constraints on gaul-out and foraging dynamics in Galapagos marine iguanas. Journal of Coupled Systems and Multiscale Dynamics, 3:208-218.
  29. Navia, B., Burden, C., Steely, T., Hasegawa, H., Cha, E., Henson, Sm. M., Stout, J., & Atkins, G. J., 2015. Parallel effects of temperature on the male cricket calling song, phonotaxis of the female and the auditory responses of the L3 neurone. Physiological Entomology, 40:113–122.
  30. Hayward, J. L., Atkins, G. J., Reichert, A. A., & Henson, S. M., 2015. Common ravens (Corvus corax) prey on rhinoceros auklet (Cerorhinca monocerata) eggs, chicks, and possibly adults. Wilson Journal of Ornithology, 127:336-339.
  31. Kang, J.H., & Tritch, W. 2015. Conditions for Existence or Nonexistence of Positive Solutions to Elliptic General Model.  British Journal of Mathematics & Computer Science, 8.6: 447-457.
  32. Seo, Y. L, & Oh, Y. M., 2015.  A curve satisfying T/K = S with constant K = 0.  American Journal of Undergraduate Research, 12(2): 57-62. 
  33. Megna, L. C., Moncrieff, A. E., Hayward, J. L, & Henson, S. M., 2014. Equal reproductive success of phenotypes in the Larus glaucescens-occidentalis complex. Journal of Avian Biology, 45:001-007. DOI: 10.1111/jav.00421
  34. Burton, D., & Henson, S. M., 2014. A note on the onset of synchrony in avian ovulation cycles. Journal of Difference Equations and Applications. DOI: 10.1080/10236198.2013.870564.
  35. Hayward, J. L., Weldon, L. M., Henson, S. M., Megna, L. C., Payne, B. G., & Moncrieff, A. E., 2014. Egg cannibalism in seabird colony increases with sea surface temperature. Condor, 116:62-73.
  36. Hayward, J. L., Megna, L. C., Payne, B. G., Velastegui Chavez, S. R., & Henson, S. M., 2013. Temporal and environmental effects on the behavior of flightless cormorants. Wilson Journal of Ornithology, 125:790–799.
  37. Cowles, J. D., Henson, S. M., Hayward, J. L., & Chacko, M. W., 2013. A mathematical method for predicting harbor seal (Phoca vitulina) haulout and monitoring long-term population trends without telemetry. Natural Resource Modeling, 26:605-627.
  38. McCormick, M. A., Hayward, J. L., and S. M. Henson, 2013. Egg mass in Glaucous-winged Gulls (Larus glaucescens) as a function of length and width. Northwestern Naturalist, 94:147-150.
  39. Moncrieff, A. E., Megna, L. C., Hayward, J. L., & Henson, S. M., 2013. Mating patterns and breeding success in gulls of the Larus glaucescens-occidentalis complex, Protection Island, Washington, USA. Northwestern Naturalist, 94:67-75.
  40. Henson, S. M., Weldon, L. M., Hayward, J. L., Greene, D. J., Megna, L. C., & Serem, M. C., 2012. Coping behavior as an adaptation to stress: Post-distrubance preening in colonial seabirds. Journal of Biological Dynamics,  6:17-37, DOI 10.1080/17513758.2011.605913.
  41. Ibanez, B., Kang, J.H., & Lee, J.H., 2009. Non-negative steady state solutions to an elliptic biological model. International Journal of Pure and Applied Mathematics, 53(3):385-394.
  42. Hayward, J. L., Henson, S. M., Banks, J. C., & Lyn, S. L., 2008. Mathematical modeling of appendicular bone growth in glaucous-winged gulls. Journal of Morphology.
  43. Moore, A. L., Damania, S. P., Henson, S. M., & Hayward, J. L., 2008. Modeling the daily activities of breeding colonial seabirds: dynamic occupancy patterns in multiple habitat patches. Mathematical Biosciences and Engineering, 5:831-842.
  44. Cushing, J. M., Henson, S. M., & Blackburn, C. C , 2007. Multiple mixed-type attractors in a competition model. Journal of Biological Dynamics, 1:347-362.
  45. Lizarraga, K.M., Kang, J.H., &  Lee, J.H., 2006. Perturbation of a nonlinear elliptic biological interacting model. Dynamics of Partial Differential Equations, 3(4).
  46. Henson, S. M., Hayward, J. L., & Damania, S. P., 2006  Identifying environmental determinants of diurnal distribution in marine birds and mammals. Bulletin of Mathematical Biology, 68:467-482.
  47. Damania, S. P., Phillips, K. W., Henson, S. M., &  Hayward, J. L., 2005. Habitat patch occupancy dynamics in Glaucous-winged Gulls (Larus glaucescens) II: A continuous-time model. Natural Resource Modeling, 18:469-499.
  48. Phillips, K. W., Damania, S. P., Hayward, J. L., Henson, S. M., &   Logan, C. J., 2005. Habitat patch occupancy dynamics in Glaucous-winged Gulls (Larus glaucescens) I: A discrete-time model. Natural Resource Modeling, 18:441-468.
  49. Hayward, J. L., Henson, S. M., Logan, C. J., Parris, C. R., Meyer, M. W., &  Dennis, B., 2005. Predicting numbers of hauled-out harbour seals: a mathematical model. Journal of Applied Ecology, 42:108-117.
  50. Henson, S. M., Hayward, J. L. Burden, C. M., Logan, C. J., & Galusha, J. G., 2004. Predicting dynamics of aggregate loafing behavior in gulls at a Washington colony. Auk ,121:380-390.
  51. Henson, S. M, Reilly, J. R., Robertson, S. L., Schu, M. C., Rozier, E. W. D., & J. M. Cushing, 2003. Predicting irregularities in population cycles. SIAM Journal on Applied Dynamical Systems, 2:238.
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