Bonni Dichone, Ph.D.

Associate Professor of Mathematics

Dr. Dichone is an Applied Mathematician whose areas of interest include mathematical modeling and differential equations. She is passionate about teaching and has taught mathematics at the university level since 2003. She enjoys working with students...

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Dr. Bonni Dichone

Contact Information

Education & Curriculum Vitae

Ph.D., Mathematics (Applied Mathematics Option), Washington State University

M.S., Mathematics, Eastern Washington University

B.A., Mathematics, Eastern Washington University

Courses Taught

MATH 148: Survey of Calculus 

MATH 157: Calculus I

MATH 258: Calculus II

MATH 259: Calculus III

MATH 260: Ordinary Differential Equations

MATH 350: Elementary Numerical Analysis

MATH 363: Topics in Applied Mathematics

MATH 413: Real Analysis I

MATH 440: Foundations of Applied Math

ENSC 244: Computer Methods for Engineers

ENSC 371: Advanced Engineering Mathematics

Dr. Dichone is an Applied Mathematician whose areas of interest include mathematical modeling and differential equations. She is passionate about teaching and has taught mathematics at the university level since 2003. She enjoys working with students across discipline, especially those in engineering and biology. Her favorite classes to teach include Differential Equations and Advanced Engineering Mathematics. She also loves advising students about research opportunities, graduate school, and careers. A self-proclaimed “geek by day, artist by night”, Dr. Dichone has an extensive background in the arts, with careers in dance, musical theatre, music, and acting. She lives a full happy life with her husband, Paulo, and their children, Georgina & Rafael.

Books

Peer-Reviewed Articles

  • Sydney Schmidt, Stephanie Kolden, Bonni Dichone, David Wollkind. Rhombic planform nonlinear stability analysis of an ion-sputtering evolution equation. Involve, A Journal of Mathematics, Vol. 14, No.1:119-142, March 2021.
  • Kohl Gill, David J. Wollkind, and Bonni Dichone. A systematic development of Jeans' criterion with rotation for gravitational instabilities. Involve, A Journal of Mathematics, Vol. 12 No.7: 1099-1108, October 2019.
  • Mitchell G. Davis, David J. Wollkind, Richard A. Cangelosi, and Bonni J. Kealy-Dichone. The Behavior of a Population Interaction-Diffusion Equation and its Subcritical Regime. Involve, A Journal of Mathematics, Vol. 11 No.2: 297-309, September 2017. 
  • Michael Jacroux and Bonni Kealy-Dichone. On the Use of Blocked 2-Level Main Effects Plans Having Blocks of Different Sizes. Statistics and Probability Letters, Vol.107, Issue C: 362-368. 2015.
  • Bonni J. Kealy-Dichone, David J. Wollkind, and Richard A. Cangelosi. Rhombic Analysis Extension of a Plant-Surface Water Interaction-Diffusion Model for Hexagonal Pattern Formation in an Arid Flat Environment. American Journal of Plant Science, Vol.6, No. 8. DOI: 10.4236/ajps.2015.68128, 2015.
  • Inthira Chaiya, David J. Wollkind, Richard A. Cangelosi, Bonni J. Kealy-Dichone, and Chontita Rattanakul. Vegetative Rhombic Pattern Formation Driven by Root Suction for an Interaction-Diffusion Plant-Ground Water Model System in an Arid Flat Environment. American Journal of Plant Science, Vol.6 No. 8. DOI: 10.4236/ajps.2015.68129, 2015.
  • Michael Jacroux and Bonni Kealy-Dichone. On the E-Optimality of Blocked Main Effects Plans in Blocks of Different Sizes. Communications in Statistics – Theory and Methods. http://dx.doi.org/10.1080/03610926.2015.1033427, 2015.
  • Michael Jacroux and Bonni Kealy-Dichone. On the E-optimality of Blocked Main Effect Plans When n = 2 (mod 4). Sankhya B, Vol. 77: 165-174, May 2015.
  • Michael Jacroux and Bonni Kealy-Dichone. On the Type I Optimality of Blocked 2-Level Main Effects Plans Having Different Sizes. Statistics and Probability Letters, Vol. 98: 39-43, March 2015.
  • Richard A. Cangelosi, David J. Wollkind, Bonni J. Kealy-Dichone, and Inthira Chaiya. Nonlinear Stability Analyses of Turing Patterns for a Mussel-Algae Model. Journal of Mathematical Biology, Vol. 70: 1249-1294, May 2014.
  • Michael Jacroux and Bonni Kealy-Dichone. On the Joint Use of the Foldover and Partial Confounding for the Construction of Follow-up Two-level Blocked Fractional Factorial Designs. The Journal of Statistical Theory and Practice, Vol. 9: 436-462, July 2014.
  • Michael Jacroux and Bonni Kealy-Dichone. On the E-optimality of Blocked Main Effect Plans When n= 3 (mod 4). Journal of Statistics and Probability Letters, Vol. 87: 143-148, April 2014. 
  • Michael Jacroux and Bonni Kealy-Dichone. Alternative Optimal Foldover Plans for Regular Fractional Factorial Split-Plot Designs. Sankhya B, Vol. 75: 343-373, November 2013.
  • Bonni J. Kealy and David J. Wollkind. A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment. Bulletin of Mathematical Biology, Vol. 74: 803-833, April 2012.

Conference Proceedings

  • Joshua A. Schultz, Bonni Dichone, Benjamin Cope. Analytical Model for 5-ply Cross-Laminated Timber. IWSS 2020. Contributed Paper.
  • Inthira Chaiya, David Wollkind, Bonni Dichone, Richard Cangelosi. Vegetative Rhombic Pattern Formation Driven by Root Suction for an Interaction-Diffusion Plant-Ground Water Model System in an Arid Flat Environment. ICAIM 2015. Contributed Paper.

Other Publications

  • Bonni J. Kealy. A Nonlinear Stability Analysis of Vegetative Turing Pattern Formation for an Interaction-Diffusion Plant-Surface Water Model System in an Arid Flat Environment. Ph.D. Thesis, December 2011.
  • Bonni J. Kealy. The Transport Equation. M.S. Thesis, June 2005.
  • Yves Nievergelt. Analysis and applications of Priest’s distillation. ACM Transactions on Mathematical Software, 30(4):402-433, December 2004. (Research results cited)

News Features

  • Bonni Dichone: GU math professor by day, dance teacher by night. The Gonzaga Bulletin. 04 September 2019.
  • Bonni Dichone: Math Professor by Day, Artist by Night. Gonzaga University News Feature. 03 October 2018.
  • Mathematical Ecology, Spot Check. The Economist. 14 January 2012. 77.
  • Patterns in the Sand. WSU Magazine Discovery Blog. 15 February 2012.

Presentations

  • A Stuart-Watson Nonlinear Stability Analysis of a Generalize Matkowsky Heat Equation
  • A Systematic Development of Jeans' Criterion with Rotation for Gravitational instabilities
  • Nonlinear Stability Analysis of Turing Patterns for a Mussel-Algae Model System
  • Vegetative Rhombic Pattern Formation Driven by Root Suction for an Interaction-Diffusion Plant-Ground Water Model System in an Arid Flat Environment
  • Nonlinear Stability Analyses of the Sustainability of Ecological Turing Patterns for an Interaction-Diffusion Mussel-Algae Model System in a Static Marine Layer
  • A Model for Soil-Plant-Surface Water Relationships in Arid Flat Environments
  • Vegetative Pattern Formation Model Systems: Comparison of Turing Diffusive and Differential Flow Instabilities
  • Stripes versus Spots in Reaction-Diffusion Systems: Comparison of Vegetative and Chemical Turing Pattern Formation
  • Vegetative Turing Pattern Formation: A Historical Perspective
  • A Vegetative Pattern Formation Aridity Classification Scheme along a Rainfall Gradient: An Example of Desertification Control
  • A Nonlinear Stability Analysis of Vegetative Turing Pattern Formation for an Interaction-Diffusion Plant-Surface Water Model System in an Arid Flat Environment
  • A One-Dimensional Nonlinear Stability Analysis of Vegetative Pattern Formation for an Interaction-Diffusion Plant-Surface Water Model System in an Arid Flat Environment
  • Mathematical Biology Modeling – Pattern Formation
  • Mathematical modeling
  • Biological/natural science applications
  • Partial differential interaction-diffusion equation system models
  • Stability analyses of pattern formation for interaction-diffusion equations; Turing patterns, Stuart-Watson methods, etc.