**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:**

**Oct
18 ^{th}-20^{th}, AMS Sectional Meeting, Washington University,
St. Louis, MO**

**May
30 ^{th}-June 6^{th}, 2012, Spring School in Nonlinear Partial
Differential Equations, Brussels, Belgium**

**December
15-18 ^{th}, 7^{th}
International Conference on Differential Equations and Dynamical System,
Tampa, FL(Global Organizing Committee Member)**

**October
14 ^{th}, PDE Seminar, Michigan State University (Talk
Slides)**

**September
27 ^{th}, 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 , ****Dynamics and pattern formation in a modified Leslie-Gower model with Allee effect and Bazykin functional response, **to appear in Journal of Mathematical Analysis and Applications

**Peng Feng****, ****Analysis of a Delayed Predator-Prey Model with
Ratio-Dependent Functional Response and Quadratic Harvesting**, (PDF) May 2013, Journal of Applied Mathematics and
Computing, a Springer Journal.

**Peng Feng****, On a diffusive predator-prey model with
nonlinear harvesting, **Mathematical Biosciences and Engineering 11, 2014, 807-821 **(PDF) **

**Peng Feng ****and Jaffar Ali, A Remark on Entire Explosive Solutions for a
Class of Elliptic System with Linear Gradient Terms, Int**. Journal of Math. Analysis, Vol. 4, 2010, no. 51, 2529 - 2534

**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 Nonnegative Solutions for a Quasilinear
Elliptic Problem**, Volume 41, Number 4 (2011), 1183-1193, 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, 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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