Professional Publications

SDG

Manuscripts submitted or in preparation

  • Moore, A. L., Damania, S. P., Hayward, J. L., Henson, S. M., and S. V. Hodge. The dynamics of loafing, thermoregulation, and territory attendance in a seabird colony. In preparation.
  • Henson, S. M., and J. L. Hayward. A nonautonomous matrix model of seabird movement. In preparation.
  • Hayward, J. L., Henson, S. M. Tkachuck, R., Tkachuck, C., Johnson, C. K., and B. G. Payne. Predicting numbers of loafing gulls close to Pacific and Atlantic breeding colonies. Auk. Submitted.
  • Hayward, J. L., Henson, S. M., Banks, J. C., and S. L. Lyn. Modeling appendicular bone growth in juvenile Glaucous-winged Gulls (Larus glaucescens). In preparation.
  • Cushing, J. M., Henson, S. M., and C. C. Blackburn. Multiple mixed-type attractors in competition models. In preparation.
  • Hayward, J. L., Galusha, J. G., and S. M. Henson. Foraging behavior of bald eagles at a marine bird colony and seal rookery in Washington. In preparation.
  • Cushing, J. M., Henson, S. M., and L.-I. Roeger 2007. A competition model for species with juvenile-adult life cycle stages. Journal of Biological Dynamics. Submitted.

Refereed papers

  1. Henson, S. M., Dennis, B., Hayward, J. L., Cushing, J. M., and J. G. Galusha. Predicting the dynamics of animal behavior in field populations. Animal Behaviour. To appear.
  2. Cushing, J. M., Henson, S. M., and L.-I. Roeger 2007. A competition model for species with juvenile-adult life cycle stages. Journal of Biological Dynamics. To appear.
  3. 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. To appear.
  4. 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.
  5. 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.
  6. 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.
  7. Damania, S. P., Phillips, K. W., Henson, S. M., and J. L. Hayward 2005. Habitat patch occupancy dynamics in Glaucous-winged Gulls (Larus glaucescens) II: A continuous-time model. Natural Resource Modeling 18:469-499.
  8. Phillips, K. W., Damania, S. P., Hayward, J. L., Henson, S. M., and C. J. Logan 2005. Habitat patch occupancy dynamics in Glaucous-winged Gulls (Larus glaucescens) I: A discrete-time model. Natural Resource Modeling 18:441-468.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. Dennis, B., Desharnais, R. A., Cushing, J. M., Henson, S. M. & Costantino, R. F. 2003. Can noise induce chaos? Oikos 102:329-339.
  17. 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.
  18. Cushing, J. M., and S. M. Henson 2002. A periodically forced Beverton-Holt equation. Journal of Difference Equations and Applications 8:1119-1120.
  19. 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.
  20. 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.
  21. Henson, S. M., and J. M. Cushing 2002. Geometric transient solutions of autonomous scalar maps. Journal of Difference Equations and Applications 8:61-73.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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”.)
  27. Henson, S. M., 2000. Multiple Attractors and Resonance in Periodically Forced Population Models. Physica D: Nonlinear Phenomena 140:33-49.
  28. Hallam, T. G., Lassiter, R. R., and S. M. Henson 2000. Modeling Fish Population Dynamics. Journal of Nonlinear Analysis, Series A 40:227-250.
  29. 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.
  30. Henson, S. M., 1999. A Continuous, Age-Structured Insect Population Model. Journal of Mathematical Biology, 39:217-243.
  31. Henson, S. M. 1999. The Effect of Periodicity in Maps. Journal of Difference Equations and Applications, 5:31-56.
  32. 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.
  33. Henson, S. M., 1998. Leslie matrix models as stroboscopic snapshots of McKendrick PDE models. Journal of Mathematical Biology, 37:309-328.
  34. 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.
  35. Costantino, R. F., Cushing, J. M., Dennis, B., Desharnais, R., and S. M. Henson, 1998. Resonant Population Cycles in Temporally Fluctuating Habitats. Bulletin of Mathematical Biology, 60:247-274.
  36. 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.
  37. Henson, S. M. 1997. Cannibalism can be beneficial even when its mean yield is less than one. Theoretical Population Biology, 51(2): 109-117.
  38. 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.
  39. Henson, S. M. and J. M. Cushing, 1996. Optimal parasitization in a size-structured host-parasitoid model. Nonlinear World, 3:1-18.
  40. Henson, S. M. and J. M. Cushing, 1996. Hierarchical models of intra-specific competition: Scramble versus contest. Journal of Mathematical Biology, 34:755-772.
  41. 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.
  42. Jaworska, J. S., T. G. Hallam, S. M. Henson, W. R. McKinney 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.
  43. Henson, S. M. and T. G. Hallam, 1995. Optimal feeding via constrained processes. Journal of Theoretical Biology, 176:33-37.
  44. 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.
  45. Henson, S. M. and T. G. Hallam, 1994. Induction on closed, bounded-below subsets of R. Nonlinear Times and Digest, 1:143-147.

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.

Book chapters

Books

Book manuscripts in preparation

  • Mathematical Modeling in Biology. With J. L. Hayward.

Department of Mathematics / Andrews University / Berrien Springs, MI 49104 USA