Research Areas
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.
Publications
Books
David J. Wollkind and Bonni J. Kealy-Dichone. Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences. Springer International Publishing, Switzerland, 2018. (See Springer Textbook Page in left-hand menu for more information.)
Khyruddin Akbar Ansari and Bonni Dichone. An Introduction to Numerical Methods Using MATLAB. SDC Publications, 2019.
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)
Student Paper
News Features
Mathematical Ecology, Spot Check. The Economist. 14 January 2012. 77.
Patterns in the Sand. WSU Magazine Discovery Blog. 15 February 2012.
Bonni Dichone: Math Professor By Day, Artist By Night. Gonzaga University News. 03 October 2018.
Bonni Dichone: GU professor by day, dance teacher by night. The Gonzaga Bulletin. 04 September 2019. (Correction: The full-ride piano scholarship was to Whitworth University, not EWU.)
Presentations
Rhombic Planform Nonlinear Stability Analysis of an Ion-Sputtering Evolution Equation
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
For a more details on conferences attended, presentations given, and other professional development, my Curriculum Vitae is available at request.