Nebraska Research Experience for Undergraduates in Applied Mathematics

2006

• M Rashford*, J. Siloti*, and J. Wrolstad*, Exponential Stability of Dynamic Equations on Time Scales PanAmerican Mathematical Journal, 16 (2006) pp. 61-73.

2005

• S. Avsec*, B. Bannish*, B. Johnson*, and Scott Meckler*, The Henstock-Kurzweil Delta Integral on Unbounded Time Scales, PanAmerican Mathematical Journal, 16 (2006) pp. 77-98.
• A. Deines*, E. Peterson*, D. Boeckner*, J. Boyle*, A. Keighley*, J. Kogut*, J. Lubben, R. Rebarber, R. Ryan*, B. Tenhumberg, S. Townley, and A.J. Tyre, Guaranteeing Population Growth Under Uncertainty for Structured Population Models, accepted to Ecological Applications.
• J. Lubben, A. Keighley*, A. Deines*, E. Peterson*, D. Boeckner*, J. Boyle*, J. Kogut*, R. Rebarber, R. Ryan*, B. Tenhumberg, and A.J. Tyre, A New Approach to Cheetah Conservation: Headstarting Using a Matrix Model (in progress).

2004

• A. Bishop*, G. Hines, K. Loupe*, and J. Radcliffe, The Evolution of Cooperation in Finite, Growing Populations (in progress)
• B. Deng, I. Loladze, V. Ufimtsev*, M. Wilson*, Modeling Tumor Growth And Chemotherapy Dynamics (in progress)
• A. Gray*, D. Lovit*, S. Spriggs*, Oscillation Theorems for a Self-Adjoint Dynamic Equation on Time Scales, PanAmerican Mathematical Journal, 15 (2005), pp. 49-64.

2003

• J. Azzam*, G. Bartels, B. Carlstrom, I. Grooms*, K. Hays*, and G. Norgard*, A Nonstandard Fourier Inequality, The Rose-Hulman Journal of Undergraduate Mathematics, 6 1 (2005).
• B. Deng, S. Jesse*, G. Ledder, A. Rand*, S. Srodulski*, Biological Control Does Not Imply Paradox--A Case Against Ratio-Dependent Models, to appear in J. Mat. Bios., 2006.
• E. Green*, The effect of a "Smart" Predator in a One Predator, Two Prey System, The Rose-Hulman Journal of Undergraduate Mathematics, 5, 2 (2004).
• E. Merrell*, R. Ruger*, and J. Severs*, First-Order Recurrence Relations on Isolated Time Scales, PanAmerican Journal of Mathematics, 14, 1 (2004) pp. 83-104.

2002

• B. Bockelman*, E. Green*, L. Lippitt*, and J. Sherman*, Long Term Dynamics or Two Three-Species Food Webs, The Rose-Hulman Journal of Undergraduate Mathematics, 4, 2, (2003), 28 pages.
• B. Bockelman*, B. Deng, Food Web Chaos Without Subchain Oscillators, International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], 15, 11 (2005), pp. 3481-3492.
• C. Flake*, T. Hoang*, E. Perrigo*, A Predatory-Prey Model with Disease Dynamics, The Rose-Hulman Journal of Undergraduate Mathematics, 4, 1, (2003).
• S. Huff*, G. Olumolade*, N. Pennington*, and A. Peterson, Oscillation of an Euler-Cauchy Dynamic Equation, Proceedings of the fourth international conference on dynamical systems and differential equations, edited by W. Feng, S. Hu, and X. Lu, Discrete and Continuous Dynamic Equations, A Supplement Volume (2003) pp. 423-431.
• B. Bockelman*, B. Deng, E. Green*, G. Hines, L. Lippitt*, J. Sherman*, Chaotic Coexistence in a Top-Predator Mediated Competitive Exclusive Web, J. Dynamical Systems and Differential Equations, 16 (2004), pp. 1062-1092.