Yu Jin

Associate Professor Profile Image
Associate Professor Mathematics yjin6@unl.edu 309 Avery Hall

Contact Information

Mailing Address:
309 Avery Hall
Department of Mathematics
University of Nebraska-Lincoln
Lincoln, NE 68588-0130

FAX: 402-472-8466

Office hours:

Teaching

Spring 2017: Math 221 - Ordinary Differential Equations

Fall 2016: Math 424/824 - Introduction to Partial Differential Equations

Fall 2016: Math 208 - Calculus III

Spring 2016: Math 208 - Calculus III

Fall 2015: Math 430 - Ordinary Differential Equations

Fall 2015: Math 314 - Matrix Theory

Spring 2015: Math 831 - Ordinary Differential Equations II (In fact, Partial Differential Equations)

Fall 2014: Math 314 - Matrix Theory

Fall 2014: Math 424/824 - Introduction to Partial Differential Equations

Spring 2014: Math 221 - Differential Equations

Spring 2014: Math 439 - Mathematical Modelling in Biology

Fall 2013: Math 324 - Introduction to Partial Differential Equations

Spring 2013: Math 208 - Calculus III

Spring 2013: Math 221 - Ordinary Differential Equations

Fall 2012: Math 221 - Ordinary Differential Equations

Research

My research interests lie in the fields of mathematical biology, dynamical systems and differential equations, and applied mathematics.

Below are some of my publications:

Grants and Fellows

  • NSF Grant DMS 1411703 "Spatial Population Dynamics in Streams or Rivers", $163,579, 2014-2018. Principal Investigator
  • Multidisciplinary Seed Grant "Prediction and control of invasive species in the presence of uncertainty" (with Richard Rebarber and Brigitte Tenhumberg), University of Nebraska-Lincoln, $8,000, 2013 - 2014
  • AMS-Simons Travel Grant, $4,000, July 2012 - June 2014
  • Research Development Fellows Program, 2012-2013, University of Nebraska-Lincoln
  • NSF, REU Site: Nebraska REU in Applied math, May 1, 2013 - April 30, 2016, Senior Investigator. (PI: Richard Rebarber, co-PI: Glenn Ledder)
  • Project NEXT Follow 2012-2013, declined because I did not get the visa before the first workshop

Presentations:

  • Traveling waves for a predator-prey model in a river environment, The Eleventh International Conference on Recent Advances in Applied Dynamical Systems, Xi’an Jiaotong University, Xi'an, China, June 9-11, 2017. (Invited talk)
  • Traveling waves for a reaction-diffusion-advection predator-prey model, AMS Spring Western Sectional Meeting, Washington State University, Pullman, WA, April 22-23, 2017. (Invited talk)
  • R0 Analysis of a Benthic-Drift Model for a Stream Population, Mathematical Biology Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2016.
  • Population Dynamics in Temporally Varying River Environments, Department of Mathematics, National Chung Cheng University, Taiwan, June 2016. (Invited talk)
  • Traveling waves for a reaction-diffusion-advection predator-prey model, Seminar at National Center for Theoretical Sciences Mathematics Division (NCTS), Hsinchu, Taiwan, June 2016.
  • Seasonal Influences on Population Spread and Persistence in Streams, Seminar at National Center for Theoretical Sciences Mathematics Division (NCTS), Hsinchu, Taiwan, June 2016.
  • R0 Analysis of a Benthic-Drift Model for a Stream Population, 2016 NCTS International Workshop in Mathematical Biology, Hsinchu, Taiwan, May 21-23, 2016. (Invited talk)
  • Population Dynamics in Temporally Varying Environments, 46th Annual John H. Barrett Memorial Lectures, Modeling and Analysis of Nonlinear PDEs in Spatial Ecology, The University of Tennessee, Knoxville, May 16-18, 2016. (Invited talk)
  • Spatial Population Dynamics in Streams and Rivers, Landscape Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2016.
  • The effect of immune responses in viral infections, Mathematical Biology Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2015.
  • Persistence Metrics and Invasion Ratchet of Stream and River Species, International Symposium on Application of Nonlinear Partial Differential Equations in Life Science, Tianjin, China, August 4-7, 2015. (Invited talk)
  • Population Persistence in Temporally Varying River Environments, Southwest University, Chongqing, P. R. China, 2015. (Invited talk)
  • Population Spread and Persistence in River Environments, School of Biomedical Engineering and Medical Imaging Third Military Medical University Chongqing, P. R. China, 2015. (Invited talk)
  • Population Persistence in River Environments, Workshop on Differential Equations and Applications to Biological Models, Tongji University, Shanghai, China, May 25-27, 2015. (Invited talk)
  • Seasonal Influences on Population Spread and Persistence in Streams, Workshop on Differential Equations and Applications to Biological Models, Tongji University, Shanghai, China, May 25-27, 2015. (Invited talk)
  • Persistence Metrics and Invasion Ratchet of Stream/River Species, Workshop on Recent Advances in Reaction-Diffusion Equations and Applications, Jiangsu Normal University, Xuzhou, China, May 21-24, 2015. (Invited talk)
  • Population persistence in temporally varying river environments, AMS Spring Southeastern Sectional Meeting, University of Alabama in Huntsville, Huntsville, AL, March 27-29, 2015. (Invited talk)
  • Seasonal Invasion Dynamics in a Spatially Heterogeneous River with Fluctuating Flows, AMS Spring Eastern Sectional Meeting, Georgetown University, Washington, DC, March 7-8, 2015. (Invited talk)
  • Population persistence in temporally varying river environments, Joint Mathematics Meetings, San Antonio, TX, 2015.
  • Seasonal Invasion Dynamics in Spatially Heterogeneous Rivers with Fluctuating Flows, Mathematical Biology Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2014.
  • A Journey into Mathematical Biology, Mathematics Club Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2014.
  • Instream Flow Needs and Spatial Population Dynamics in Streams and Rivers, Landscape Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2014.
  • Population Persistence in River Environments, Mathematical Biosciences Institute, The Ohio State University, 2014.
  • Population Persistence in Temporally Varying River Environments, Mathematical Biology Seminar, Department of Mathematics and Statistics, University of Ottawa, 2014.
  • Instream flow needs and spatial population dynamics in streams, Ecology, Evolution and Behavior (EEB) Seminar, University of Nebraska-Lincoln, 2013.
  • Metrics for Population Persistence in Rivers, The Fourth Conference on Computational and Mathematical Population Dynamics, Taiyuan, China, 2013. (Invited talk)
  • Metrics for Population Persistence in Rivers, Everything Disperses to Miami: The Role of Movement and Dispersal in Spatial Ecology, Epidemiology and Environmental Science, Miami, FL, 2012. (Invited talk)
  • Population persistence metrics in rivers, Mathematical Biology Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2012.
  • A new river metric for population persistence in streams, School of Biomedical Engineering and Medical Imaging Third Military Medical University Chongqing, P. R. China, 2012. (Invited talk)
  • Population spread and persistence in streams, Department of mathematics, Southwest University, Chongqing, P. R. China, 2012. (Invited talk)
  • Population spread and persistence in streams, Department of mathematics, University of Science and Technology of China, Hefei, Anhui, P. R. China, 2012. (Invited talk)
  • A new river metric - R_0, PIMS Mathematical Biology Seminar, Department of Mathematical and Statistical Sciences, University of Alberta, 2012.
  • Population spread and persistence in streams, The International Council for Industrial and Applied Mathematics (ICIAM), Vancouver, 2011.
  • Spread and persistence of stream species, PIMS Mathematical Biology Seminar, Department of Mathematical and Statistical Sciences, University of Alberta, 2011.
  • The effects of temporal and spatial heterogeneity on population invasions in streams, Workshop on Modeling, Understanding, and Managing River Ecosystems, Ottawa, 2010.
  • Bistable traveling waves for a reaction-diffusion system, Seventh Annual Canadian Young Researchers Conference in Mathematics and Statistics (CYRC 2010), Edmonton, 2010.
  • Seasonal influences on spatial population dynamics, 2010 Canadian Mathematical Society Summer Meeting, Fredericton, 2010.
  • Traveling waves for a population model, Second Annual Atlantic Mathematical Biology Workshop, Fredericton, 2010.
  • A nonlocal periodic reaction-diffusion model with stage-structure, Differential Equations and Dynamical Systems Seminar, Department of Mathematical and Statistical Sciences, University of Alberta, 2009.
  • Population dispersal in a periodic environment, International Conference on Mathematical Biology and Annual Meeting of The Society for Mathematical Biology, Vancouver, 2009.
  • Evolution dynamics of biological systems with spatial and temporal heterogeneities, PIMS Mathematical Biology Seminar, Department of Mathematical and Statistical Sciences, University of Alberta, 2009.
  • Bistable waves for a class of reaction-diusion systems, School of Mathe- matics and Statistics, Southwest University, P. R. China, 2008.
  • Spatial dynamics of a periodic population model, School of Mathematics and Statistics, Southwest University, P. R. China, 2008.
  • Spatial dynamics of a periodic population model with dispersal, Departmental Colloquium, Department of Mathematics and Statistics, University of New Brunswick, 2008.
  • Asymptotic behavior of a nonlocal periodic population model with stage structure, Applied Dynamical Systems Seminar, Department of Mathematics and Statistics, Memorial University of Newfoundland, 2008.
  • Spatial dynamics of a periodic population model with dispersal, CMS-MITACS Joint Conference 2007 (national), Winnipeg, June, 2007.
  • Spatial dynamics of a population model with dispersal, Applied Dynamical Systems Seminar, Department of Mathematics and Statistics, Memorial University of Newfoundland, 2007.
  • Dynamics of an SIRS model, Applied mathematics seminar, Department of Mathematics and Statistics, Memorial University of Newfoundland, 2006.
  • The effect of population dispersal on the spread of a disease, Applied mathematics seminar, Department of Mathematics and Statistics, Memorial University of Newfoundland, 2006.
  • The effect of population dispersal, First International Conference on Recent Advances in Bifurcation Theory and Applications of Dynamical Systems, Jinhua, P. R. China, 2005.
  • The global qualitative behavior of epidemic models, presented in the Department of Mathematics, Southwest China Normal University, Chongqing, P. R. China, 2004.

Posters:

  • Y. Jin and M. A. Lewis, Seasonal effects on population persistence in streams, The MBI Workshop for Young Researchers in Mathematical Biology (WYRMB), Columbus, OH, 2010.
  • Y. Jin and X.-Q. Zhao, Spatial dynamics of a periodic population model with dispersal, Workshop on Multiscale Analysis of Self-Organization in Biology, Banff, 2009.

Conferences and Workshops:

  • The Eleventh International Conference on Recent Advances in Applied Dynamical Systems, Xi’an Jiaotong University, Xi'an, China, June 9-11, 2017.
  • AMS Spring Western Sectional Meeting, Washington State University, Pullman, WA, April 22-23, 2017.
  • 2016 NCTS International Workshop in Mathematical Biology, Hsinchu, Taiwan, May 21-23, 2016.
  • 46th Annual John H. Barrett Memorial Lectures, Modeling and Analysis of Nonlinear PDEs in Spatial Ecology, Knoxville, Tennessee, May 16-18, 2016.
  • International Symposium on Application of Nonlinear Partial Differential Equations in Life Science, Tianjin, China, August 4-7, 2015.
  • Workshop on Differential Equations and Applications to Biological Models, Tongji University, Shanghai, China, May 25-27, 2015.
  • Workshop on Recent Advances in Reaction-Diffusion Equations and Applications, Jiangsu Normal University, Xuzhou, China, May 21-24, 2015.
  • AMS Spring Southeastern Sectional Meeting, University of Alabama in Huntsville, Huntsville, AL, March 27-29, 2015.
  • AMS Spring Eastern Sectional Meeting, Georgetown University, Washington, DC, March 7-8, 2015.
  • Joint Mathematics Meetings, San Antonio, TX, 2015.
  • The International Council for Industrial and Applied Mathematics (ICIAM) workshop, Mathematical Biosciences Institute, The Ohio State University, Columbus, OH, May 2014.
  • The Fourth Conference on Computational and Mathematical Population Dynamics, Taiyuan, China, 2013.
  • Everything Disperses to Miami: The Role of Movement and Dispersal in Spatial Ecology, Epidemiology and Environmental Science, Miami, FL, 2012.
  • The International Council for Industrial and Applied Mathematics (ICIAM), Vancouver, BC, 2011.
  • Emerging Challenges at the Interface of Mathematics, Environmental Science and Spatial Eco, Banff, AB, 2011.
  • The MBI Workshop for Young Researchers in Mathematical Biology (WYRMB), Columbus, OH, 2010.
  • Workshop on Modeling, Understanding, and Managing River Ecosystems, Ottawa, ON, 2010.
  • Seventh Annual Canadian Young Researchers Conference in Mathematics and Statistics (CYRC 2010), Edmonton, AB, 2010.
  • 2010 Canadian Mathematical Society Summer Meeting, Fredericton, NB, 2010.
  • Second Annual Atlantic Mathematical Biology Workshop, Fredericton, NB, 2010.
  • International Conference on Mathematical Biology and Annual Meeting of The Society for Mathematical Biology, Vancouver, 2009.
  • Workshop on Multiscale Analysis of Self-Organization in Biology (international), Banff, 2009.
  • Alberta Colleges Mathematics Conference \& North South Dialogue in Mathematics (provincial), Red Deer, Alberta, 2009.
  • Workshop on Deconstructing Biochemical Networks, Montreal (international), Quebec, September, 2007.
  • Minicourse on Quantitative Biology, Montreal (international), Quebec, September, 2007.
  • CMS-MITACS Joint Conference 2007 (national), Winnipeg, MB, June, 2007.
  • CAIMS-MITACS 2006 Joint Annual Conference (national), Toronto, ON, 2006.
  • 2006 Summer school on mathematical modeling of infectious diseases (national), York University, Toronto, ON, 2006.
  • First International Conference on Recent Advances in Bifurcation Theory and Applications of Dynamical Systems, Jinhua, P. R. China, 2005.
  • The 3rd International Conference on Mathematical Biology (A Satellite Meeting of ICM-2002), Guilin, P. R. China, 2002.

Education

  • Ph. D. in Mathematics (Applied Mathematics), Memorial University of Newfoundland, St. John's, NL, Canada, Sep. 2005-Dec. 2008.
    Supervisor: Professor Xiaoqiang Zhao.
  • M. Sc. in Mathematics (Mathematical Biology), Southwest China Normal University, Chongqing, P. R. China, Sep. 2001-Aug. 2004.
    Supervisor: Professor Wendi Wang.
  • B. Sc. in Mathematics, Southwest China Normal University, Chongqing, P. R. China, Sep. 1997-Aug. 2001.