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Yun Kang

Assoc Professor
Faculty, POLY Campus, Mailcode 2780
Assoc Professor
Faculty, POLY Campus, Mailcode 2780
Assoc Professor
Faculty, POLY Campus, Mailcode 2780
Biography

Yun Kang is a co-director (with Professor Carlos Castillo-Chavez) of the Simon A. Levin Mathematical, Computational, and Modeling Sciences Center and an associate professor in the sciences and mathematics faculty group in the College of Integrative Sciences and Arts.

Kang obtained her bachelor's degree in applied mathematics from Shanghai Jiaotong University, China, in 2002 and her master's degree in mathematics from University of Arizona in 2004. She joined the Department of Applied Sciences and Mathematics as an assistant professor in 2008, immediately after completing her doctorate in mathematics from Arizona State University. Her  primary research interests are mathematical biology and nonlinear dynamical systems theory with applications in biology, life and social sciences. Her research has both theoretical and modeling components with empirical supports. The theoretical component is to study ecological and evolutionary dynamics of complex adaptive systems that are of interest to biologists, ecologists, and epidemiologists. The modeling component is to explore different modeling techniques, based on experiments or important hypotheses, to get a better understanding of quantitatively and qualitatively various aspects of biological/social behaviors, structures, and processes. She has published more than 30 articles in high profile journals of mathematical biology. Her current research on "Multiscale Modeling of Division of Labor in Social Insects" has been funded by mathematical biology program of the National Science Foundation.

Kang is actively involved in encouraging women and girls to study and to have active careers in the mathematical sciences. Since May, 2009, she has been a committee member on the Association for Women in Mathematics (AWM) mentor network. She is also a member of American Mathematical Society, the Society for Industrial and Applied Mathematics, and the Society for Mathematical Biology.

Education
  • Ph.D. Mathematics, Arizona State University 2008
  • M.S. Pure Mathematics (Random Graphs), University of Arizona 2004
  • B.S. Applied Mathematics, Shanghai Jiao Tong University, China 2002

 

Research Interests

Mathematical biology and dynamical system theory. Complex Adaptive Systems.

Publications
  • Yun Kang. Scramble competitions can rescue endangered species subject to strong Allee effects. Mathematical Biosciences (2013).
  • Kang Yun. Pre-images of invariant sets of a discrete-time two species competition model. Journal of Difference Equations and Applications (2012).
  • Kang Yun and Nicolas Lanchier. The role of space in the exploitation of resources. Bulletin of Mathematical Biology (2012).
  • Kang Yun and Smith Hal. Global dynamics of a discrete-time two-species Lottery-Ricker competition model. Journal of Biological Dynamics (2012).
  • Yun Kang and Carlos Castillo-Chavez. Multiscale analysis of compartment models with dispersal. Journal of Biological Dynamics (2012).
  • Kang Yun and Armbruster Dieter. Dispersal effects on a two-patch discrete model for plant-herbivore interactions. Journal of Theoretical Biology (2011).
  • Kang Yun and Armbruster Dieter. Noise and seasonal effects on the dynamics of plant-herbivore models with monotone plant growth functions,. International Journal of Biomathematics (2011).
  • Kang Yun and Nicolas Lanchier. Expansion or extinction: deterministic and stochastic two-patch models with Allee effects,. Journal of Mathematical Biology (2011).
  • Kang Yun and Yakubu Abdul-Aziz. Weak Allee effects and species coexistence,. Nonlinear Analysis: Real World Applications (2011).
  • Kang Yun, Clark Rebecca , Michael Makiyama and Fewell Jennifer. Mathematical modeling on obligate mutualism: leaf-cutter ants and fungus growth during early colony expansion. Journal of Theoretical Biology (2011).
  • Kang Yun and Chesson Peter,. Relative nonlinearity and permanence. Theoretical Population Biology (2010).
  • Kang, Yun, Armbruster, Dieter and Kuang, Yang,. Dynamics of a plant-herbivore model,. Journal of Biological Dynamics (2008).
Research Activity
Spring 2019
Course NumberCourse Title
ABS 492Honors Directed Study
MAT 492Honors Directed Study
MAT 493Honors Thesis
BIO 493Honors Thesis
MAT 494Special Topics
BIO 495Undergraduate Research
MAT 495Undergraduate Research
ABS 500Research Methods
ABS 560Ecological Modeling
AML 590Reading and Conference
AML 592Research
APM 792Research
AML 792Research
AML 799Dissertation
APM 799Dissertation
Fall 2018
Course NumberCourse Title
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 494Special Topics
BIO 495Undergraduate Research
MAT 495Undergraduate Research
AML 590Reading and Conference
AML 592Research
APM 792Research
AML 792Research
APM 799Dissertation
AML 799Dissertation
Summer 2018
Course NumberCourse Title
APM 792Research
Spring 2018
Course NumberCourse Title
ABS 492Honors Directed Study
MAT 492Honors Directed Study
MAT 493Honors Thesis
BIO 493Honors Thesis
MAT 495Undergraduate Research
ABS 560Ecological Modeling
AML 590Reading and Conference
AML 592Research
AML 792Research
APM 792Research
AML 799Dissertation
APM 799Dissertation
Fall 2017
Course NumberCourse Title
MAT 265Calculus for Engineers I
MAT 492Honors Directed Study
MAT 493Honors Thesis
BIO 495Undergraduate Research
MAT 495Undergraduate Research
AML 590Reading and Conference
AML 592Research
APM 792Research
AML 792Research
APM 799Dissertation
AML 799Dissertation
Summer 2017
Course NumberCourse Title
APM 792Research
Spring 2017
Course NumberCourse Title
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 495Undergraduate Research
ABS 560Ecological Modeling
AML 590Reading and Conference
AML 592Research
AML 792Research
APM 792Research
AML 799Dissertation
APM 799Dissertation
Fall 2016
Course NumberCourse Title
MAT 265Calculus for Engineers I
MAT 492Honors Directed Study
BIO 492Honors Directed Study
MAT 493Honors Thesis
MAT 495Undergraduate Research
AML 590Reading and Conference
AML 592Research
AML 790Reading and Conference
APM 792Research
AML 792Research
AML 799Dissertation
Summer 2016
Course NumberCourse Title
APM 792Research
Spring 2016
Course NumberCourse Title
MAT 265Calculus for Engineers I
MAT 493Honors Thesis
ABS 560Ecological Modeling
AML 590Reading and Conference
AML 792Research
APM 792Research
AML 799Dissertation
Fall 2015
Course NumberCourse Title
MAT 265Calculus for Engineers I
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 495Undergraduate Research
AML 590Reading and Conference
AML 592Research
AML 790Reading and Conference
AML 792Research
APM 792Research
AML 799Dissertation
Summer 2015
Course NumberCourse Title
APM 792Research
Spring 2015
Course NumberCourse Title
MAT 493Honors Thesis
AML 590Reading and Conference
AML 792Research
APM 792Research
Fall 2014
Course NumberCourse Title
MAT 265Calculus for Engineers I
MAT 492Honors Directed Study
AML 590Reading and Conference
AML 592Research
ABS 691Seminar
AML 790Reading and Conference
AML 792Research
APM 792Research
AML 799Dissertation
Summer 2014
Course NumberCourse Title
APM 792Research
AML 792Research
Presentations
  • Yun Kang. Allee effects in Eco-epidemiology models. The Lloyd G. Roeling Mathematics Conference,UL Lafayette campus, Nov 02-04, 2012 (Nov 2012).
  • Yun Kang, et al. Population dynamics of intraguild predations. Math Biology Seminar of School of Mathematical and Statistical Sciences, Arizona State University, O (Oct 2012).
  • Yun Kang and Carlos Castillo-Chavez. A simple epidemiological model with Allee effects and the disease-modified fitness. Special Sessions of Biomathematics, Fall Western Sectional Meeting, AMS, Tucson, Arizona, Oct (Oct 2012).
  • Yun Kang and Lauren Wedekin. Population dynamics of Intraguild Predation models with generalist or specialist predator. SIAM conference on Life Sciences, August 07-10, 2012, San Diego (Aug 2012).
  • Yun Kang. Mathematical models with Positive density dependence. Mathematical and theoretical biology institute: June 14, 2012, 9:00 am -12:30 am, ASU (Jun 2012).
  • Yun Kang. Population dynamics of Intraguild Predation. MTBI- Summer Lecture (Jun 2012).
  • Yun Kang. The relative permanence of a discrete-time competition model. (PODE 2012), Virginia Commonwealth University in Richmond, Virginia, USA, May 13 -18, 2012 (May 2012).
  • Lauren Wedekin and Yun Kang. Modeling Framework of Intraguild Predation,. Showcase poster by Master Student- Lauren Wedekin, at College of Technology & Innovation , Arizona S (Apr 2012).
  • Yun Kang. Mathematical Modeling in Biology. Applied Science Seminar of Department of Applied Sciences and Mathematics, Arizona State University, (Mar 2012).
  • Yun Kang and Nicolas Lanchier. The role of space in the exploitation of resources. minisymposium on Modeling of Ecological Systems at ICIAM 2011, July 18 - 22, Vancouver, BC, Canada (Jul 2011).
  • Yun Kang. Interplay between Allee effects and competition’ at. workshop III on Heterogeneity and Ecologies organized by MCMSC, June 29, 2011, A (Jun 2011).
  • Yun Kang. Relative Permanence in Biological Systems. international conference of Fifth International Conference on Recent Advances in Applied Dynamical S (May 2011).
  • Yun Kang, Rebecca Clark and Jennifer Fewell. Modeling an Obligate Mutualism: Leaf-cutter ants and its fungus garden. minisymposium on Recent applications of dynamical systems in ecology at SIAM Conference on Applicati (May 2011).
Service
  • The Society for Mathematical Biology Annual Meeting and Conference, June 10-13,2013, Tempe, Arizona., Local Organizing Committee (2012 - Present)
  • Acta Biotheoretica, Advances in Difference Equations,, Reviewer (2012 - Present)
  • Nonlinear Dynamics and Systems Theorem, Reviewer (2012 - Present)
  • committee of minor in math and physics, committee (2011 - Present)
  • Academic Standards of College of Technology & Innovation., Committee (2010 - Present)
  • Graduate Degree Program–ABS Master’s degree, committee (2010 - Present)
  • Obama Scholar Mentor, Mentor (2010 - Present)
  • Hiring math lecturer committee, committee (2010 - Present)
  • Reviewer NSF on Population and Community Ecology, Ad hoc reviewer (2010 - Present)
  • Circle on the road-The Tempe Julia Robinson Mathematics Festival., math outreach activities for high school kids (2010 - Present)
  • the graduate committee, committee (2010 - Present)
  • the Association for Women in Mathematics (AWM) Mentor Network, Committee (2009 - Present)
  • Ecology Modeling/Theoretical Population Biology/J. of Theoretical Biology/Mathematical Biosciences, Reviewer (2008 - Present)
  • Journal of Difference Equations and Applications/Journal of Mathematics and Computers in Simulation, Reviewer (2008 - Present)
  • Mathematical Biosciences and Engineering, Journal of Mathematical Biology,, Reviewer (2008 - Present)
  • Proceedings of Royal Society B, Journal of Biological Dynamics, Journal of Oikos,, reviewer (2008 - Present)
  • Mathematical Models in Biology and Medicine in AIMS 2012, July 01-05, 2012, Orlando, Florida, U.S, Chair a session (2012 - 2012)
  • AWM Essay Contest: Biographies of Contemporary Women in Mathematics, Judge (2010 - 2010)