Peng Feng
Associate
Professor of Mathematics
Florida Gulf
Coast University
Fort Myers, FL
33965-6565
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
Society for Industrial and Applied Mathematics
Mathematical Association of America
Mathematical Biosciences Institute
Institute of Mathematics and Its
Applications(IMA)
Travel
Schedules:
May
30th-June 6th, 2012, Spring School in Nonlinear Partial
Differential Equations, Brussels, Belgium
December
15-18th, 7th
International Conference on Differential Equations and Dynamical System,
Tampa, FL(Global Organizing Committee Member)
October
14th, PDE Seminar, Michigan State University (Talk
Slides)
September
27th, Mathematical Biology Seminar, University of Central Florida(Talk Slides)
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, Analysis of a Delayed Predator-Prey Model with
Ratio-Dependent Functional Response and Quadratic Harvesting, submitted
Peng Feng, On a diffusive
predator-prey model with nonlinear harvesting, submitted
Peng Feng
and Jaffar Ali, A Remark on Entire Explosive
Solutions for a Class of Elliptic System with Linear Gradient Terms, to appear in International Journal of Mathematical Analysis
Peng Feng, Remarks
on Large Solutions of a Class of Semilinear Elliptic
Equations, Volume
356, Issue 2, 15 August 2009, Pages 393-404, JMAA(pdf)
Peng Feng, Global
Bifurcation of Positive Solutions to Some Quasilinear
Elliptic Problem, accepted for publication in Rocky Mountain Journal of
Math.
Peng Feng, On the structure of positive solutions to
an elliptic problem arising in thin film equations , 370(2010) 573-583, Journal of
Mathematical Analysis and Applications.
Peng Feng , Dynamics
of a segmentation clock model with discrete and distributed delays, Volume 3, Number 4, Dec 2010, International Journal of
Biomathematics(pdf)
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, 7th
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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