Department of
Mathematics

Shandelle M. Henson, Publications

Books

  1. Cushing, J. M., Henson, S. M., and J. L. Hayward 2023. Dynamics of Marine Vertebrates: Behavioral, Population, and Evolutionary Models. Springer.
  2. Henson, S. M. and J. L. Hayward 2023. Mathematical Modeling in Biology: A Research Methods Approach. CRC Press.
  3. Cushing, J. M., Costantino, R. F., Dennis, B., Desharnais, R. A., and S. M. Henson 2003. Chaos in Ecology: Experimental Nonlinear Dynamics. Academic Press.

Refereed papers

  1. Polski, A. A., Osborn, K. J., Hayward, J. L., Joo, E., Mitchell, A. T., Sandler, A. G., and S. M. Henson. 2021. Egg cannibalism as a foraging tactic by less fit Glaucous-winged Gulls (Larus glaucescens). Wilson Journal of Ornithology 133:552-567. https://doi.org/10.1676/20-00072
  2. Nurhan, Y. I., and S. M. Henson 2021. Cannibalism and Synchrony in Seabird Egg-laying Behavior. Natural Resource Modeling 34: e12325. https://doi.org/10.1111/nrm.12325
  3. Atkins, G. J., Hayward, J. L., and S. M. Henson 2021. How do gulls synchronize every-other-day egg laying? Wilson Journal of Ornithology 133:226-235. https://doi.org/10.1676/20-00019
  4. Weir, S. K., Henson, S. M., Hayward, J. L., Atkins, G. J., Polski, A. A., Watson, W., and A. G. Sandler 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. https://doi.org/10.1676/19-82
  5. Henson, S. M., Desharnais, R. A., Funasaki, E. T., Galusha, J. G., Watson, J. W., and J. L. Hayward 2019. Predator-prey dynamics of bald eagles and glaucous-winged gulls at Protection Island, Washington, USA. Ecology and Evolution 9:3850–3867. DOI:10.1002/ece3.5011
  6. Gallos, D., Gallos, C., Watson, W., and S. M. Henson 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
  7. Cushing, J. M., and S. M. Henson 2018. Periodic matrix models for seasonal dynamics of structured populations with application to a seabird population. Journal of Mathematical Biology 77:1689-1720. https://doi.org/10.1007/s00285-018-1211-4
  8. Robertson, S. L., Henson, S. M., Robertson, T., and J. M. Cushing 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
  9. McWilliams, K. M., Sandler, A. G., Atkins, G. J., Henson, S. M., and J. L. Hayward 2018. Courtship and copulation in Glaucous-winged Gulls, Larus glaucescens, and the influence of environmental variables. Wilson Journal of Ornithology 130:270–285. https://doi.org/10.1676/16-151.1
  10. Hayward, J. L., Henson, S. M., Bove, J., Bove, C., and C. J. Gregory 2017. Daily and annual habitat use and habitat-to-habitat movement by Glaucous-winged Gulls at Protection Island, Washington. Northwestern Naturalist 98:180–189.
  11. Atkins, G. J., Reichert, A. A., Henson, S. M., and J. L. Hayward  2017. Copulation call coordinates timing of head-tossing and mounting behaviors in neighboring Glaucous-winged Gulls (Larus glaucescens). Wilson Journal of Ornithology 129:560-567.
  12. Smith, R. S., Weldon, L. M., Hayward, J. L., and 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.
  13. Sandler, A. G., Megna, L. C., Hayward, J. L., Henson, S. M., Tkachuck, C. M., and R. D. Tkachuck 2016. Every-other-day clutch-initiation synchrony in ring-billed gulls (Larus delawarensis). Wilson Journal of Ornithology 128:760-765.
  14. Atkins, G. J., Sandler, A. G., McLarty, M., Henson, S. M., and J. L. Hayward 2015. Oviposition behavior in Glaucous-winged Gulls (Larus glaucescens). Wilson Journal of Ornithology 127:486-493.
  15. Cushing, J. M., Henson, S. M., and J. L. Hayward 2015. An evolutionary game theoretic model of cannibalism. Natural Resource Modeling 28:497–521.
  16. Payne, B. G., Henson, S. M., Hayward, J. L., Megna, L. C., and S. R. Velastegui Chavez 2015. Environmental constraints on haul-out and foraging dynamics in Galápagos marine iguanas. Journal of Coupled Systems and Multiscale Dynamics  3:208-218.
  17. Navia, B., Burden, C., Steely, T., Hasegawa, H., Cha, E., Henson, S. M., Stout, J., and G. Atkins 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.
  18. Hayward, J. L., Atkins, G. J., Reichert, A. A., and S. M. Henson 2015. Common Ravens (Corvus corax) Prey on Rhinoceros Auklet (Cerorhinca monocerata) eggs, chicks, and possibly adults. Wilson Journal of Ornithology 127:336-339.
  19. Megna, L. C., Moncrieff, A. E., Hayward, J. L, and S. M. Henson 2014. Equal reproductive success of phenotypes in the Larus glaucescens-occidentalis complex. Journal of Avian Biology 45:410–416.
  20. Burton, D., and S. M. Henson 2014. A note on the onset of synchrony in avian ovulation cycles. Journal of Difference Equations and Applications 20:664–668.
  21. Hayward, J. L., Weldon, L. M., Henson, S. M., Megna, L. C., Payne, B. G., and A. E. Moncrieff 2014. Egg cannibalism in a gull colony increases with sea surface temperature. The Condor: Ornithological Applications 116:62-73.
  22. Hayward, J. L., Megna, L. C., Payne, B. G., Velastegui Chavez, S. R., and S. M. Henson 2013. Temporal and environmental effects on the behavior of flightless cormorants. Wilson Journal of Ornithology 125:790–799.
  23. Cowles, J. D., Henson, S. M., Hayward, J. L., and M. W. Chacko 2013. A method for predicting harbor seal (Phoca vitulina) haulout and monitoring long-term population trends without telemetry. Natural Resource Modeling 26:605-627.
  24. 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.
  25. Moncrieff, A. E., Megna, L. C., Hayward, J. L., and S. M. Henson 2013. Mating patterns and breeding success in gulls of the Larus glaucescens-occidentalis complex, Protection Island, Washington, USA. Northwestern Naturalist 94:67-75.
  26. Cushing, J. M., and S. M. Henson 2012. Stable bifurcations in semelparous Leslie models. Journal of Biological Dynamics 6:80-102.
  27. Henson, S. M., Weldon, L. M., Hayward, J. L., Greene, D. J., Megna, L. C., and M. C. Serem 2012. Coping behaviour as an adaptation to stress: Post-disturbance preening in colonial seabirds. Journal of Biological Dynamics 6:17-37.
  28. Henson, S. M., Cushing, J. M., and J. L. Hayward 2011. Socially-induced ovulation synchrony and its effect on seabird population dynamics. Journal of Biological Dynamics 5:495-516.
  29. Henson, S. M., Hayward, J. L., Cushing, J. M., and J. G. Galusha 2010. Socially induced synchronization of every-other-day egg laying in a seabird colony. Auk 127:571-580.
  30. Henson, S. M., and J. L. Hayward 2010. The mathematics of animal behavior: an interdisciplinary dialogue. Notices of the American Mathematical Society, November, 57(10):1248-1258.
  31. Hayward, J. L., Galusha, J. G., and S. M. Henson 2010. Foraging behavior of bald eagles at a marine bird colony and seal rookery in Washington. Journal of Raptor Research 44:19-29.
  32. Hayward, J. L., Henson, S. M., Tkachuck, R., Tkachuck, C., Payne, B. G., and C. K. Boothby 2009. Predicting gull/human conflicts with mathematical models: a tool for management. Natural Resource Modeling 22:544-563.
  33. Hayward, J. L., Henson, S. M., Banks, J. C., and S. L. Lyn 2009. Mathematical modeling of appendicular bone growth in glaucous-winged gulls. Journal of Morphology 270:70-82.
  34. Moore, A. L., Damania, S. P., Henson, S. M., and J. L. Hayward 2008. Modeling the daily activities of breeding colonial seabirds: dynamic occupancy patterns in multiple habitat patches. Mathematical Biosciences and Engineering 5:831-842.
  35. Cushing, J. M., Henson, S. M., and C. C. Blackburn 2007. Multiple mixed-type attractors in a competition model. Journal of Biological Dynamics 1:347-362.
  36. Cushing, J. M., Henson, S. M., and L.-I. Roeger 2007. Coexistence of competing juvenile-adult structured populations. Journal of Biological Dynamics 1:201-231.
  37. Henson, S. M., Dennis, B., Hayward, J. L., Cushing, J. M., and J. G. Galusha 2007. Predicting the dynamics of animal behaviour in field populations. Animal Behaviour 74:103-110.
  38. Henson, S. M., Galusha, J. G., Hayward, J. L., and J. M. Cushing 2007. Modeling territory attendance and preening behavior in a seabird colony as functions of environmental conditions. Journal of Biological Dynamics 1:95-107.
  39. Desharnais, R. A., Costantino, R. F., Cushing, J. M., Henson, S. M., Dennis, B., and A. A. King 2006. Experimental support of the scaling rule for demographic stochasticity. Ecology Letters 9:537-547.
  40. Henson, S. M., Hayward, J. L., and S. P. Damania 2006. Identifying environmental determinants of diurnal distribution in marine birds and mammals. Bulletin of Mathematical Biology 68:467-482.
  41. Costantino, R. F., Desharnais, R. A., Cushing, J. M., Dennis, B., Henson, S. M., and A. A. King 2005. Nonlinear stochastic population dynamics: The flour beetle Tribolium as an effective tool of discovery. Chapter 4 in Population Dynamics and Laboratory Ecology, R. A. Desharnais (editor), Academic Press, New York.
  42. Damania, S. P., Phillips, K. W., Henson, S. M., and J. L. Hayward 2005. Habitat patch occupancy dynamics of glaucous-winged gulls (Larus glaucescens) II: A continuous-time model. Natural Resource Modeling 18:469-499.
  43. Phillips, K. W., Damania, S. P., Hayward, J. L., Henson, S. M., and C. J. Logan 2005. Habitat patch occupancy dynamics of glaucous-winged gulls (Larus glaucescens) I: A discrete-time model. Natural Resource Modeling 18:441-468.
  44. Hayward, J. L., Henson, S. M., Logan, C. J., Parris, C. R., Meyer, M. W, and B. Dennis 2005. Predicting numbers of hauled-out harbour seals: a mathematical model. Journal of Applied Ecology 42:108-117.
  45. Desharnais, R. A., Edmunds, J., Costantino, R. F., and S. M. Henson 2005. Species competition: uncertainty on a double invariant loop. Journal of Difference Equations and Applications 11:311-325.
  46. Cushing, J. M., LeVarge, S., Chitnis, N., and S. M. Henson 2004. Some discrete competition models and the competitive exclusion principle. Journal of Difference Equations and Applications 10:1139-1151.
  47. Henson, S. M., Hayward, J. L. Burden, C. M., Logan, C. J., and J. G. Galusha 2004. Predicting dynamics of aggregate loafing behavior in gulls at a Washington colony. Auk 121:380-390.
  48. King, A. A., Costantino, R. F., Cushing, J. M., Henson, S. M., Desharnais, R. A., and B. Dennis 2004. Anatomy of a chaotic attractor: Subtle model-predicted patterns revealed in population data. Proceedings of the National Academy of Sciences 101:408-413.
  49. Henson, S. M., King, A. A., Costantino, R. F., Cushing, J. M., Dennis, B., and R. A. Desharnais 2003. Explaining and predicting patterns in stochastic population systems. Proceedings of the Royal Society of London B 270:1549-1553.
  50. Edmunds, J., Cushing, J. M., Costantino, R. F., Henson, S. M., Dennis, B., and R. A. Desharnais 2003. Park's Tribolium competition experiments: a non-equilibrium species coexistence hypothesis. Journal of Animal Ecology 72:703-712.
  51. Dennis, B., Desharnais, R. A., Cushing, J. M., Henson, S. M., and R. F. Costantino 2003. Can noise induce chaos? Oikos 102:329-339.
  52. Henson, S. M, Reilly, J. R., Robertson, S. L., Schu, M. C., Rozier, E. W. D., and J. M. Cushing 2003. Predicting irregularities in population cycles. SIAM Journal on Applied Dynamical Systems 2:238-253.
  53. Cushing, J. M., and S. M. Henson 2002. A periodically forced Beverton-Holt equation. Journal of Difference Equations and Applications 8:1119-1120.
  54. King, A. A., Desharnais, R. A., Henson, S. M., Costantino, R. F., Cushing, J. M., and B. Dennis 2002. Random perturbations and lattice effects in chaotic population dynamics. Science 297:2163a.
  55. Henson, S. M., Costantino, R. F., Desharnais, R. A., Cushing, J. M., and B. Dennis 2002. Basins of attraction: population dynamics with two locally stable 4-cycles. Oikos 98:17-24.
  56. Henson, S. M., and J. M. Cushing 2002. Geometric transient solutions of autonomous scalar maps. Journal of Difference Equations and Applications 8:61-73.
  57. Henson, S. M., Costantino, R. F., Cushing, J. M., Desharnais, R. F., Dennis, B., and A. A. King 2001. Lattice effects observed in chaotic dynamics of experimental populations. Science 294:602-605.
  58. Desharnais, R. A., Costantino, R. F., Cushing, J. M., Henson, S. M., and B. Dennis 2001. Chaos and Population Control of Insect Outbreaks. Ecology Letters 4: 229-235.
  59. Cushing, J. M., and S. M. Henson 2001. Global Dynamics of Some Periodically Forced, Monotone Difference Equations. Journal of Difference Equations and Applications 7:859-872.
  60. Dennis, B., Desharnais, R. A., Cushing, J. M., Henson, S. M., and R. F. Costantino 2001. Estimating Chaos and Complex Dynamics in an Insect Population. Ecological Monographs 71:277-303.
  61. Cushing, J. M., Henson, S. M., Desharnais, R. A., Dennis, B., Costantino, R. F., and A. King 2001. A Chaotic Attractor in Ecology: Theory and Experimental Data. Chaos, Solitons and Fractals 12:219-234. (Invited for the special issue on "Chaos in Ecology".)
  62. Henson, S. M., 2000. Multiple Attractors and Resonance in Periodically Forced Population Models. Physica D: Nonlinear Phenomena 140:33-49.
  63. Hallam, T. G., Lassiter, R. R., and S. M. Henson 2000. Modeling Fish Population Dynamics. Journal of Nonlinear Analysis, Series A 40:227-250.
  64. Henson, S. M., Costantino, R. F., Cushing, J. M., Dennis, B., and R. A. Desharnais 1999. Multiple Attractors, Saddles and Population Dynamics in Periodic Habitats. Bulletin of Mathematical Biology 61:1121-1149.
  65. Henson, S. M., 1999. A Continuous, Age-Structured Insect Population Model. Journal of Mathematical Biology, 39:217-243.
  66. Henson, S. M. 1999. The Effect of Periodicity in Maps. Journal of Difference Equations and Applications, 5:31-56.
  67. Henson, S. M., Cushing, J. M., Costantino, R. F., Dennis, B., and Desharnais, R. A. 1998. Phase Switching in Population Cycles. Proceedings of the Royal Society of London B, 265: 2229-2234.
  68. Henson, S. M., 1998. Leslie matrix models as stroboscopic snapshots of McKendrick PDE models. Journal of Mathematical Biology, 37:309-328.
  69. Cushing, J. M., Costantino, R. F., Dennis, B., Desharnais, R. A., and S. M. Henson, 1998. Nonlinear Population Dynamics: Models, Experiments, and Data. Journal of Theoretical Biology, 194:1-9.
  70. Costantino, R. F., Cushing, J. M., Dennis, B., Desharnais, R. A., and S. M. Henson, 1998. Resonant Population Cycles in Temporally Fluctuating Habitats. Bulletin of Mathematical Biology, 60:247-274.
  71. Henson, S. M. and J. M. Cushing, 1997. The Effect of Periodic Habitat Fluctuations on a Nonlinear Insect Population Model. Journal of Mathematical Biology, 36:201-226.
  72. Henson, S. M. 1997. Cannibalism can be beneficial even when its mean yield is less than one. Theoretical Population Biology, 51(2): 109-117.
  73. Henson, S. M. 1996. Existence and stability of nontrivial periodic solutions of periodically forced discrete dynamical systems. Journal of Difference Equations and Applications, 2:315-331.
  74. Henson, S. M. and J. M. Cushing, 1996. Optimal parasitization in a size-structured host-parasitoid model. Nonlinear World, 3:1-18.
  75. Henson, S. M. and J. M. Cushing, 1996. Hierarchical models of intra-specific competition: Scramble versus contest. Journal of Mathematical Biology, 34:755-772.
  76. Hallam, T. G. and S. M. Henson, 1996. Extinction in a structured predator-prey model with size-dependent predation. In: Differential Equations and Applications to Biology and Industry. Proceedings of the Claremont International Conference in Memory of Stavros Busenberg. (M. Martelli et al. Eds.) World Scientific Publishing, River Edge, New Jersey. pp. 173-180.
  77. Jaworska, J. S., Hallam, T. G., Henson, S. M., McKinney, W. R., and R. R. Lassiter, 1995. Ecotoxicology of predator-prey communities: an individual-based modeling approach. In: Environmental Toxicology and Risk Assessment-Third Volume, ASTM STP 1218 (J. S. Hughes et al. Eds.), American Society for Testing and Materials, Philadelphia.
  78. Henson, S. M. and T. G. Hallam, 1995. Optimal feeding via constrained processes. Journal of Theoretical Biology, 176:33-37.
  79. Henson, S. M. and T. G. Hallam, 1994. Survival of the fittest: asymptotic competitive exclusion in structured population and community models. Nonlinear World, 1:385-402.
  80. Henson, S. M. and T. G. Hallam, 1994. Induction on closed, bounded-below subsets of R. Nonlinear Times and Digest, 1:143-147.

Papers in progress

Henson, S. M., Hayward, J. L., Dennis, B., Foster, L. A., and S. Dass. Compartmental models of animal behavior. In preparation.

Jensen, R. E., Cushman, R. A., Henson, S. M., and J. L. Hayward. Geology and paleontology of Protection Island, Washington. In preparation.

Koliadko, N. L., Kroepel, J. W., Lee, T. H., Seawood, B., Luna, A., Hayward, J. L., and S. M. Henson. Egg cannibalism in gulls: how it depends on egg order in the nest. In preparation.

Book chapters

Henson, S. M. 2012. Phase Plane Analysis. In Encyclopedia of Theoretical Ecology, A. Hastings and L. Gross (editors), University of California Press, Berkeley.

Costantino, R. F., Desharnais, R. A., Cushing, J. M., Dennis, B., Henson, S. M., and A. A. King 2005. Nonlinear stochastic population dynamics: The flour beetle Tribolium as an effective tool of discovery. Chapter 4 in Population Dynamics and Laboratory Ecology, R. A. Desharnais (editor), Academic Press, New York.

Other scholarly papers

Henson, S. M., Cushing, J. M, and J. L. Hayward, 2016. Modeling Animal Behavior in a Changing Environment. Resource Modeling Association Newsletter, Spring 2016, pp. 3-12.

Henson, S. M., Cushing, J. M., and J. L. Hayward, 2015. Introduction to special issue on eco-evolutionary dynamics. Natural Resource Modeling 28:377-379.

Hayward, J. L., Henson, S. M., and J. M. Cushing, 2015. Nature Makes Sense: Effects of Climate Change on Animal Behaviour. International Innovation: Disseminating Science, Research and Technology, Issue 191, 54-58.

Ackleh, A. S., Allen, L. J., Canziani, G., Henson, S. M., Li, J., and Z. Ma, 2008. Tribute to Thomas G. Hallam's contributions to mathematical ecology, ecotoxicology, and the academic community. Mathematical Biosciences and Engineering 5(4):i-iii.

Henson, S. M., and H. L. Smith, 2005. Preface. Special Issue dedicated to Professor J.M. Cushing. Journal of Difference Equations and Applications
Volume 11(4-5):271-272.

Book reviews

Henson, S. M., 2006. Reviewed "An Introduction to Difference Equations. Third Edition", by Saber N. Elaydi. Journal of Difference Equations and Applications, 12:959-960.

Henson, S. M., 2006. Reviewed "Complexities: Women in Mathematics", B. A. Case and A. M. Leggett, Eds. American Mathematical Monthly 113:91-93.

Henson, S. M., 2003. Reviewed "Mathematical Models in Population Biology and Epidemiology", by Brauer and Castillo-Chavez. American Mathematical Monthly, 110:254-258.

Henson, S. M., 2001. Reviewed "An Introduction to Difference Equations. Second Edition", by Saber N. Elaydi. Journal of Difference Equations and Applications, 7:751-753.

Henson, S. M., 2000. Reviewed "Difference Equations: Theory and Applications", by R. E. Mickens. Journal of Difference Equations and Applications, 6:243-244.

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