Bonni Dichone, Ph.D.

Books

• David J. Wollkind and Bonni J. Kealy-Dichone. Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences. Springer International Publishing, Switzerland, 2018.
• Khyruddin Akbar Ansari and Bonni Dichone. An Introduction to Numerical Methods Using MATLAB. Writing in process. Accepted to be published by SDC Publications – TBD.

Peer-Reviewed Articles

• 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

• 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

• 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.