Dr. Bonni Dichone

Research


stripesCurrent 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.  *Peer reviewed and accepted to be published by Springer - TBD. 
  • 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 2018.
  • 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
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Presentations
  • 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.