I am interested in the applications of differential equations, especially those of elliptic and parabolic types. Currently I am working on the blowup phenomena in elliptic and parabolic equations. Previously I worked on pattern formation arising in parabolic systems. I am also working on the mathematical modeling of gene expression.

Spring 2008: Analysis II, Ordinary Differential Equations, Elementary Calculus

Fall 2007: Calculus II, Analysis, Elementary Calculus

Spring 2007: Calculus II, Linear Operators and Differential Equations and Foundation of Applied Mathematics(III)

Fall 2006: Calculus II, Linear Operators and Differential Equations and Dynamical Systems

Since Fall 2007: Reviewer for Journal of Mathematical Analysis and Applications

Since Fall 2007: Invited Reviewer for Mathematical Review

Since Jan  2007: Biotechnology Seminar Search Committee

Since Fall 2006: Associate Graduate Faculty

Since Fall 2005: Advisor to Mathematics Club

2008-2009: Junior Faculty Scholarship Excellence Award

• American Mathematical Society

• Society for Industrial and Applied Mathematics

• Mathematical Association of America

• Mathematical Biosciences Institute

• Institute of Mathematics and Its Applications(IMA)

Travel Schedules:

May 7-9, 2009, 8th MSU-UAB Conference on Differential Equations & Computational Simulations;

June 8-12, 2009, Mathematical Bioscience Institute (OSU) workshop on Drosophila Development;

July 27-30, 2009, Annual Meeting of The Society of Mathematical Biology, University of British Columbia, Vancouver, Canada.

Recent Publications:

• Existence of Explosive Positive Radial Solutions to Elliptic Systems of Competitive Type, in preparation

• A Priori Estimate and Uniqueness of Positive Radial Solutions for Elliptic Systems of Competitive Type,  in preparation

• Peng Feng, Remarks on Large Solutions of a Class of Semilinear Elliptic Equations, Accepted for publication in  JMAA(pdf)

• Peng Feng, Global Bifurcation of Positive Solutions to Some Quasilinear Elliptic Problem, submitted to Rocky Mountain Journal of Math.

• Peng Feng, On Radial Solutions to an Elliptic Equation with Singular Nonlinearities, submitted to JMAA

• Peng Feng , Dynamics of a segmentation clock model with discrete and distributed delays, submitted to Mathematical Biosciences

• Peng Feng, Global and Blow up Solution in a Mutualistic Model, 68(2008), pp. 1898-1998,  Nonlinear Analysis: Theory, Method and Applications(pdf)

• Peng Feng, On the Blowup Rate of Large Solutions of a Porous Media Logistic Equation on Radial Domain,  329(2007) 347-356, Journal of Mathematical Analysis and Applications.(pdf)

• Peng Feng and Menaka Navaratna, Modelling Periodic Oscillations During Somitogenesis, Vol.4, No.4, 2007, pp.661-673, Mathematical Biosciences and Engineering(pdf)

• Peng Feng and Zhengfang Zhou, Existence of Finite Travelling Wave Solutions in a Degenerate Cross-Diffusion System,Vol.6, No.4, 2007, pp.1145-1165, Communications On Pure and Applied Analysis. (With Zhengfang Zhou)(pdf)

• Peng Feng and Zhengfang Zhou, Multiplicity and Symmetry Breaking of Positive Radial Solutions for a Semilinear Elliptic Equation Modelling MEMS on Annular Domain, Vol. 2005(2005), No. 146, pp. 1-14, El. J. Diff. Eqns.(pdf)

Presentations and Conferences:

• April 17-18, 2008, IMA Network Dynamics and Cell Physiology workshop, University of Minnesota, Minnesota, USA
• Nov 1-3, 7^th Mississippi State-UAB Conference on Differential Equations & Computational Simulations, Birmingham, AL
• June 2007, The fourth International Conference on Mathematical Biology, CHINA
• January 2007, AMS National Meeting, New Orleans, USA

• June 2007, Travel Grant (Faculty Travel Award and Professional Development Award) for The fourth International Conference on Mathematical Biology, CHINA

•  Feb 26th, 2007, Patterns in Nature and the Mathematics Behind It, Florida Gulf  Coast University and Ave Maria University,  Florida

• December 16-18, 2006, 30 minutes talk, 5th International Conference on Differential Equations and Dynamical Systems, University of Texas, Pan American, TX

• April 1-2, 2006, 30 minutes talk, AMS Sectional Meeting, Florida International University, Miami, FL

•  January 12-15, 2006, Give talk on AMS Joint Mathematical Meeting, San Antonio, TX

• May 13-14, 2005, 30 minutes talk, The Sixth Mississippi State - UAB Conference on Differential Equations and Computational Simulations, Mississippi State University

• June 7, 2004, IMA Travel Grant for Second Symposium on Analysis and PDEs, Purdue University

• April 13, 2004, Seminar talk on  Study on Pattern Formation Far From Equilibrium
  Mathematical Biology Seminar, Michigan State University

• Nov 17, 2003, Travel Grant for Workshop on Mathematical Challenges Arising in Cancer Models, Mathematical Biology Institute, Ohio State University

• Sept 29, 2003, Seminar talk on Support Property of Solutions to Degenerate Parabolic Equations Arising in Biology and Physics: An Exposition, PDE Seminar, Michigan State University

• Aug 14, 2003, 30 minutes talk, Conference on Partial Differential Equations and Applications, University of Notre Dame

• June 11, 2003, Travel Grant for 2003 International Conference on Nonlinear Evolutions and Applications, Northwestern University

• May 23, 2003, IMA Travel Grant for Symposium on Analysis and PDEs,  Purdue University

• March 5, 2003, Seminar talk on Radial Symmetry in a Parabolic System, PDE Seminar, Michigan State University

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