A Quantitative Genetics Approach to Model the Evolution of Insect Development (with C. A. Cobbold), Bulletin of Mathematical Biology (2011)

Daphnia Impact on Logan Wastewater Lagoons (with D. Chea, K. McCullogh, and R. C. Sims), Daphnia Impact on Logan Wastewater Lagoons (2011)

Development of high-resolution pine density maps for landscape-level modeling of mountain pine beetle (with B. Crabb and B. Bentz), North American Forest Insect Work Conference (2011)

Homogenization of large scale movement models in ecology (with M. J. Garlick, M. B. Hooten, and L. Macfarlane), Bulletin of Mathematical Biology (2011)

Prepupal diapause and instar IV developmental rates of the spruce beetle, Dendroctonus rufipennis (Coleoptera: Curculionidae, Scolytinae) (with E. M. Hansen, B. J. Bentz, D. R. Gray, and J. C. Vandygriff), Journal of Insect Physiology (2011)

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Modeling the Effects of Developmental Variation on Insect Phenology (with Brian P. Yurk), Bulletin of Mathematical Biology (2010)

Daphnia-Algae Modeling of the Logan Wastewater Lagoons (with D. Chea, K. McCullogh, and R. C. Sims), Daphnia-Algae Modeling of the Logan Wastewater Lagoons (2010)

Leading Students to Investigate Diffusion as a Model of Brine Shrimp Movement (with B. R. Kohler, R. Swank, and J. W. Haefner), Bulletin of Mathematical Biology (2010)

Mathematically Modelling Polymerase Chain Reaction: An Asymptotic Approximation with Potential for Optimization (with M. J. Garlick), Mathematical Biosciences and Engineering (2010)

Modeling the Effects of Developmental Variation on Insect Phenology (with B. P. Yurk), Bulletin of Mathematical Biology (2010)

Change of support in inverse implementations of statistical differential equation models (with M. B. Hooten and M. J. Garlick), Proceedings of the American Statistical Association (2009)

Connecting Phenological Predictions with Population Growth Rates for an Outbreak Insect (with B. J. Bentz), Landscape Ecology (2009)

Homogenization of Large Scale Movement Models with Application to Spread of Wasting Disease in Ungulate Populations (with M. J. Garlick and M. Hooten), Homogenization of Large Scale Movement Models with Application to Spread of Wasting Disease in Ungulate Populations (2009)

Modeling the Evolution of Insect Phenology (with B. P. Yurk), Bulletin of Mathematical Biology (2009)

A novel method for fitting spatio-temporal models to data, with applications to the dynamics of Mountain Pine Beetle (with J. Heavilin), Natural Resource Modelling (2008)

The effect of chemical information on the spatial distribution of fruit flies I: Model results (with M. R. Etienne, M. DeGee, and L. Hemerik), Bulletin of Mathematical Biology (2008)

Modelling Polymerase Chain Reaction and Implications for Optimization (with M. J. Garlick), Modelling Polymerase Chain Reaction and Implications for Optimization (2007)

On the use of the Advanced Very High Resolution Radiometer for development of prognostic land surface phenology models (with N. Kathuroju, M. A. White, J. Symanzik, M. D. Schwartz, and R. R. Nemani), Ecological Modelling (2007)

Synchrony’s double edge: Transient dynamics and the Allee effect in stage structured populations (with N. A. Friedenberg and M. P. Ayres), Ecology Letters (2007)

Changing temperatures influence suitability for mountain pine beetle outbreaks in the western US (with J. A. Hicke, J. A. Logan, and D. S. Ojima), Journal of Geophysical Research- Biogeosciences (2006)

Impacts of Climate Change on Range Expansion by the Mountain Pine Beetle (with A. L. Carroll, J. Regniere, J. A. Logan, S. W. Taylor, and B. J. Bentz), Impacts of Climate Change on Range Expansion by the Mountain Pine Beetle (2006)

Epidemic Spread of a Lesion-Forming Plant Pathogen – Analysis of a Mechanistic Model with Infinite Age Structure (with I. Slapnicar and W. Van der Werf), Journal of Linear Algebra and Applications (2005)

Influence of Host Diversity on Development of Epidemics: An Evaluation and Elaboration of Mixture Theory (with P. Skelsey, W. A. H. Rossing, G. J. T. Kessel, and W. Van der Werf), Phytopathology (2005)

Insect Seasonality – Circle Map Analysis of Temperature-Driven Life Cycles (with J. A. Logan), Theoretical Population Biology (2005)

Modelling Mountain Pine Beetle Outbreaks at Landscape Scales (with J. Heavilin), Modelling Mountain Pine Beetle Outbreaks at Landscape Scales (2005)

Partial differential equations and phenology modelling (with B. P. Yurk), Partial differential equations and phenology modelling (2005)

Comparison of three models predicting developmental milestones given environmental and individual variation (with E. Gilbert and J. A. Logan), Bulletin of Mathematical Biology (2004)

Ecological consequences of climate change altered forest insect disturbance regimes (with J. A. Logan), Proceedings of the Pacific AAAS meeting (2004)

Modelling spatial characteristics in the biocontrol of fungi at the leaf scale: Competitive substrate colonization by Botrytis cinerea and the saprophytic antagonist Ulocladium atrum (with G. J. T. Kessel, J. Kohl, R. Rabbinge, and W. Van der Werf), Phytopathology (2004)

Multi-Scale Analysis of Seed Dispersal Contributes to the Resolution of Reid’s Paradox (with N. E. Zimmermann), Ecology (2004)

Assessing the Impacts of Global Climate Change on Forest Pests (with J. A. Logan and J. Reniere), Frontiers in Ecology (2003)

Identifying ’Redtops’: Classification of Satellite Imagery for Tracking Mountain Pine Beetle Progression through a Pine Forest (with R. Cutler, L. Brown, B. Bentz, and A. Cutler), Proceedings of the 35th Symposium on the Interface (2003)

Mathematical and Computational Methodology for Predicting the Emergence of Insect Pests (with J. T. Leek), Mathematical and Computational Methodology for Predicting the Emergence of Insect Pests (2003)

Mathematical and Computational Methodology for Predicting the Emergence of Insect Pests (with J. T. Leek), Mathematical and Computational Methodology for Predicting the Emergence of Insect Pests (2003)

Modeling mountain pine beetle phenological response to temperature (with J. A. Logan), Proc. of a Mountain Pine Beetle Symposium: Challenges and Solutions (2003)

A model of the escape of Sclerotinia sclerotiorum ascospores from pasture (with M. de Jong, G. Bourdot, and J. Goudriaan), Ecological Modeling (2002)

Field Validation of Mountain Pine Beetle Phenology Models (with B. J. Bentz, J. A. Logan, and E. Gilbert), Field Validation of Mountain Pine Beetle Phenology Models (2002)

Modelling Phenology with Variability (with E. Gilbert, J. A. Logan, and B. J. Bentz), Modelling Phenology with Variability (2002)

Swan Flight Dynamics and Vulnerability (with H. Tangermann and T. Messmer), Swan Flight Dynamics and Vulnerability (2002)

The interaction between dispersal, the Allee effect and scramble competition affects population dynamics (with R. Etienne, B. Wertheim, L. Hemerik, and P. Schneider), Ecological Modelling (2002)

The Red-Top Model (with J. Heavilin, J. A. Logan, and B. J. Bentz), The Red-Top Model (2002)

EpidemicWaves in a Discrete Time Model of Bark Beetle Infestation (with K. Black, J. A. Logan, and B. J. Bentz), EpidemicWaves in a Discrete Time Model of Bark Beetle Infestation (2001)

Ghost Forests, Global Warming and the Mountain Pine Beetle (with J. A. Logan), American Entomologist (2001)

Ghost forests, global warming, and the mountain pine beetle (with J. A. Logan and B. J. Bentz), Boreal Odyssey: Proceedings of the North American Forest Insect Work Conference (2001)

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Ghost Forests, Global Warming, and the Mountain Pine Beetle (Coleoptera : Scolytidae) (with Jesse A. Logan), American Entomologist (2001)

Low seasonal temperatures promote life cycle synchronization (with J. L. Jenkins, J. A. Logan, and B. J. Bentz), Bulletin of Mathematical Biology (2001)

Measuring and modelling dispersal of Coccinella septempunctata in alfalfa fields (with W. Van der Werf and E. W. Evans), European Journal of Entomology (2001)

Modeling the impacts of temperature on the population dynamics of the mountain pine beetle (with B. J. Bentz, J. A. Logan, and E. Hank), Boreal Odyssey: Proceedings of the North American Forest Insect Work Conference (2001)

Mountain pine beetle population distribution: influences of an adaptive seasonality (with B. J. Bentz and J. A. Logan), Boreal Odyssey: Proceedings of the North American Forest Insect Work Conference (2001)

The Energetics of Bird Migration: An Applied Project in Optimization (with K. A. Sullivan), The Energetics of Bird Migration: An Applied Project in Optimization (2001)

Direct and Indirect Parametrization of a Localized Model for the Mountain Pine Beetle – Lodgepole Pine System (with Z. Biesinger, B. Bentz, and J. Logan), Ecological Modelling (2000)

Dispersal may enable persistence of fruit flies suffering from the Allee effect and scramble competition (with R. Etienne, B. Wertheim, L. Hemerik, and P. Schneider), Proceedings of the Dutch Entomological Society (2000)

Dispersal of Coccinella septempunctata in Utah alfalfa (with W. Van der Werf and E. W. Evans), Proceedings of the Dutch Entomological Society (2000)

Evaluation of translocation criteria: a case study with trumpeter swans (Cygnus buccinator) (with K. A. M. Engelhardt, V. L. Roy, and J. A. Kadlec), Biological Conservation (2000)

Mathematical elements of attack risk analysis for mountain pine beetles (with B. Kennedy, P. White, B. Bentz, J. Logan, and D. Roberts), Journal of Theoretical Biology (2000)

Optimal trajectories for the short-distance foraging flights of swans (with K. A. M. Engelhardt), Journal of Theoretical Biology (2000)

Seasonal Temperature Alone Can Synchronize Life Cycles (with J. Jenkins, J. A. Logan, and B. J. Bentz), Bulletin of Mathematical Biology (2000)

Connecting a Chemotactic Model for Mass Attack to a Rapid Integro-Difference Emulation Strategy (with T. McMillen and P. White), SIAM Journal of Applied Mathematics (1998)

Games to teach mathematical modelling (with J. Cangelosi and A. M. Harris), SIAM Review (1998)

Model analysis of the temporal evolution of spatial patterns in mountain pine beetle outbreaks (with J. Logan, P. White, and B. Bentz), Theoretical Population Biology (1998)

Phase transition from environmental to dynamic determinism in mountain pine beetle attack (with P. White), Bulletin of Mathematical Biology (1998)

Spatial invasion of pine beetles into lodgepole forests: a numerical approach (with P. White), SIAM Journal of Science Comp. (1998)

Theoretical Analysis of ‘Switching’ in a Localized Model for Mountain Pine Beetle Mass Attack (with J. Tams, B. Bentz, and J. Logan), Journal of Theoretical Biology (1998)

Conditional stability of front solutions, Journal of Mathematical Biology (1997)

Interactions among stomata in response to perturbations in humidity (with K. A. Mott and F. Denne), Plant, Cell and Environment (1997)

Local consequences of a global model for mountain pine beetle mass attack (with J. Rose), Dynamics and Stability of Systems (1997)

Local projections for a global model of mountain pine beetle attacks (with J. A. Logan and B. J. Bentz), Journal of Theoretical Biology (1996)

Self-focusing and Self-dissipation: Strategies for Mountain Pine Beetle Survival (with B. J. Bentz and J. A. Logan), Self-focusing and Self-dissipation: Strategies for Mountain Pine Beetle Survival (1996)

Spatial and temporal attack dynamics of the mountain pine beetle (Dendroctonus ponderosae) in lodgepole pine (with B. J. Bentz and J. A. Logan), USDA/FS Research Note (1996)

Spatial and Temporal Attack Dynamics of the Mountain Pine Beetle: Implications for Management (with B. J. Bentz and J. A. Logan), Integrating Cultural Tactics into the Management of Bark Beetle and Reforestation Pests (1996)

Spatial and temporal attack dynamics of the mountain pine beetle: Implications for Management (with B. J. Bentz and J. A. Logan), Spatial and temporal attack dynamics of the mountain pine beetle: Implications for Management (1996)

Reflection of localized beams from a nonlinear absorbing interface (with E. M. Wright and J. V. Moloney), SIAM Journal of Applied Mathematics (1994)

Beam collapse as an explanation for anomalous ocular damage (with J. V. Moloney, A. C. Newell, and R. A. Albanese), JOSA B (1993)

Localized states in fluid convection and multi-photon lasers (with P. K. Jakobsen), Physica D (1993)

Non-generic connections corresponding to front solutions (with M. Tabor), Journal of Physics A (1992)

Beam Collapse in the Human Eye: Numerical Model, Beam Collapse in the Human Eye: Numerical Model (1991)

Competition between generic and nongeneric fronts in envelope equations (with A. C. Newell and C. K. R. T. Jones), Physical Review A (1991)

Beam Collapse in the Human Eye, Beam Collapse in the Human Eye (1990)

Nearly real fronts in a Ginzburg-Landau equation (with C. K. R. T. Jones and T. M. Kapitula), Proceedings of the Royal Society Edinburgh (1990)

Saddle-node bifurcation of slowly-varying, nonlinear travelling waves (with A. Bernoff), Saddle-node bifurcation of slowly-varying, nonlinear travelling waves (1989)

The forward-in-time upstream advection scheme: extension to higher orders (with C. Tremback, W. Cotton, and R. Pielke), Monthly Weather Review (1987)

Animal life cycle models (with J. Reniere), Phenology: An Integrative Environmental Science (2012)

Ecological consequences of climate change altered forest insect disturbance regimes (with J. A. Logan), Climate change in western North America : Evidence and environmental effects (2009)

Development and parametrization of a model for bark beetle disturbance in lodgepole forest (with J. Heavilin and J. A. Logan), Plant Disturbance Ecology (2007)

Math and the Life-Impaired: How Disease Theory Predicts the Zombie Apocalypse, Math and the Life-Impaired: How Disease Theory Predicts the Zombie Apocalypse (2012)

Connecting Tree-level Phenology and Landscape-level Mountain Pine Beetle Outbreak Dynamics, Connecting Tree-level Phenology and Landscape-level Mountain Pine Beetle Outbreak Dynamics (2011)

Emerging at the Right Time, Stopping at the Right Place, and Scaling Up the Right Way: Phenology and Differential Motility Describe Patterns of Bark Beetle Outbreak, Emerging at the Right Time, Stopping at the Right Place, and Scaling Up the Right Way: Phenology and Differential Motility Describe Patterns of Bark Beetle Outbreak (2011)

The Timing of Insect Development and Trajectory of Bark Beetle Outbreaks, The Timing of Insect Development and Trajectory of Bark Beetle Outbreaks. SIAM Conference on Dynamical Systems, Snowbird, UT May 2011; UBC Okanagan, September, 2011; Colorado College, November, 2011. (2011)

Being on Time: Tree-Level Phenology, Landscape Outbreaks and Evolutionary Dynamics for Mountain Pine Beetle, Being on Time: Tree-Level Phenology, Landscape Outbreaks and Evolutionary Dynamics for Mountain Pine Beetle (2009)

Ghost Forests, GlobalWarming and the Mountain Pine Beetle, Ghost Forests, GlobalWarming and the Mountain Pine Beetle (2008)

Mountain Pine Beetle, Ecology, Modelling and Risk Analysis, Mountain Pine Beetle, Ecology, Modelling and Risk Analysis (2008)

Connecting Tree-level Phenology and Landscape-level Mountain Pine Beetle Outbreak Dynamics: Where did All the Green Trees Go?, Connecting Tree-level Phenology and Landscape-level Mountain Pine Beetle Outbreak Dynamics: Where did All the Green Trees Go? (2007)

Evolution of Phenology (with B. P. Yurk), Evolution of Phenology (2007)

Mathematical Modelling and Mountain Pine Beetles 1994-2007: A Case Study, Mathematical Modelling and Mountain Pine Beetles 1994-2007: A Case Study (2007)

Modelling Development with Variability in Phenotype and Environment, Modelling Development with Variability in Phenotype and Environment (2005)

Invasion of Mountain Pine Beetle due to Climate Change, Invasion of Mountain Pine Beetle due to Climate Change (2004)

Numerical approaches to solving PDE modelling Mountain Pine Beetle Phenology (with J. T. Leek), Numerical approaches to solving PDE modelling Mountain Pine Beetle Phenology (2003)

The Mathematical Basis for Modelling Insect Seasonality, The Mathematical Basis for Modelling Insect Seasonality (2002)

Spatio-Temporal Models in Ecology: An Introduction to Integro-Difference Equations, Spatio-Temporal Models in Ecology: An Introduction to Integro-Difference Equations (2001)

Quantitative Environmental BiologyWorkshop, Quantitative Environmental BiologyWorkshop (2000)

Teaching Mathematics in the Biology Classroom: BioMathLab at Utah State University, Teaching Mathematics in the Biology Classroom: BioMathLab at Utah State University (2000)

Mathematical Elements of Spatial Risk Analysis in the MPB/Forest System, Mathematical Elements of Spatial Risk Analysis in the MPB/Forest System (1999)

Model analysis of spatial patterns in mountain pine beetle outbreaks (with J. A. Logan, P. White, and B. Bentz), Model analysis of spatial patterns in mountain pine beetle outbreaks (1997)

Dynamics of Mass Attack: Local Projections of Global Models, Dynamics of Mass Attack: Local Projections of Global Models (1996)

Mathematical Issues in Ultra-Short Propagation, Mathematical Issues in Ultra-Short Propagation (1995)

Mathematical Models of Mass Attack in Mountain Pine Beetles, Mathematical Models of Mass Attack in Mountain Pine Beetles (1995)

Reflection of Localized Beams from a Nonlinear Absorbing Interface, Reflection of Localized Beams from a Nonlinear Absorbing Interface (1993)

Accuracy-Optimized Approaches to Self-Steepening in Self-Focussing, Ultra-Short Laser Pulses, Accuracy-Optimized Approaches to Self-Steepening in Self-Focussing, Ultra-Short Laser Pulses (1992)

Localized States in Fluid Convection and Multi-Photon Lasers, Localized States in Fluid Convection and Multi-Photon Lasers (1992)

Pulse Dynamics at Interfaces between Nonlinear Materials, Pulse Dynamics at Interfaces between Nonlinear Materials (1992)

First Year Project Report on Beam Collapse as an Ocular Damage Mechanism, First Year Project Report on Beam Collapse as an Ocular Damage Mechanism (1991)

Nongenericity and Stability in Front Solutions, Nongenericity and Stability in Front Solutions (1990)

Spatio-Temporal Models in Ecology: An Introduction to Integrodifference Equations, Spatio-Temporal Models in Ecology: An Introduction to Integrodifference Equations (2001)

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Direct and indirect parametrization of a localized model for the mountain pine beetle — lodgepole pine system (with Zy Biesinger, Barbara Bentz, and Jesse Logan), USDA Forest Service / UNL Faculty Publications (2000)