


My research interests include differential and integral equations and
their applications, particularly in mathematical ecology.



Selected Publications



 Integrodifference Models for Persistence in
Temporally Varying River Environments, (with Yu Jin (U
NebraskaLincoln) and M. Lewis (U
Alberta)), J. Math. Biol. 70 (2015), no. 3, p. 549  590.
 A Boundary Value Problem for
Integrodifference Population Models with Cyclic Kernels, (with
T. McAdam '13), Discrete Contin. Dyn. Syst., Series B, Vol. 19 (no
10), December 2014
 Selling Mathematics: Service & Quality, Journal of
Humanistic Mathematics, July (2013).
 R_{0}analysis of a spatiotemporal model for a
stream population, (with H. Mckenzie (U Alberta), Y. Jin (U
Alberta), and M. Lewis (U Alberta)), SIAM J. Appl. Dyn. Syst (2012), pp. 567596.
 Traveling Waves and Shocks in a Viscoelastic Generalization of Burgers Equation, (with V. Camacho '07) and R. Guy (UC Davis), Siam J. Appl. Math., (2008) Vol. 68, pp. 13161332.
 As Flat As Possible, SIAM Review, Vol 49, no 3 (2007) pp. 491507.
 Turing Patterns on Growing Spheres: The Exponential Case (with J. Gjorgjieva), Discrete Contin. Dyn. Syst., (2007), Series A, suppl., p. 436445. Note: There is an error in the diffusiondriven calculation in this paper as kindly pointed out by Madzvamuse et al. See "Stability analysis of nonautonomous reactiondiffusion systems: the effects of growing domains, J. Math Biol. (2010)" for an alternate approach to determining the diffusiondriven instability condition.
 Approximations of Continuous Newton's Method: An Extension of Cayley's Problem, (with B. Tennis (HMC '06) and O. Lewis (HMC '05)), Electronic Journal of Differential Equations, 15, (2007), pp. 163173. See also Magifractificator Home

Radial Solutions of Quasilinear Elliptic Differential Equations
(with K. Schmitt), pp. 359436 in Handbook of Differential Equations, ed. by Canada, Drabek, Fonda; Elsevier, 2004.

A LiouvilleGelfand Equation for kHessian Operators,
Rocky Mountain J. Math., Vol. 34(2004), No 2, pp. 665684.

The LiouvilleBratuGelfand Problem for Radial Operators (with
K. Schmitt),
J. Differential Equations, Vol. 184(2002), No. 1, pp. 283298.

Monotone
Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere
(with A. Belmonte and A. Jayaraman),
Electron. J. Diff. Eqns., Vol. 2001(2001), No. 62, pp. 117.
 A Globalization of the Implicit Function Theorem wth Applications to Nonlinear Elliptic Equations, in Second Summer School in Nonlinear Analysis (Cuernavaca, Morelos, 2000), Amer. Math. Soc., Providence, RI, 2001, pp. 249272.
 Global Bifurcation Problems Associated with kHessian Operators, Topol. Methods Nonlinear Anal., 14 (1999), pp. 81130.
 Global Bifurcation Problems for MongeAmpere Operators, In Nonlinear Analysis and its Applications to Differential Eqauations (Lisbon, 1998), Birkhauser, Boston, MA, 2000, pp. 299309.

