## 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:

- Y. Jin, F. Lutscher, and Y. Pei, Meandering rivers: How important is lateral variability for species persistence?, Submitted to
*Bulletin of Mathematical Biology*, 2017. - Y. Jin, F.-B. Wang, Dynamics of a Benthic-Drift Model for Two Competitive Species, Submitted to
*Journal of Mathematical Analysis and Applications*, 2017. - T. Zhang, Y. Jin, Traveling waves for a reaction-diffusion-advection predator- prey model,
*Nonlinear Analysis: Real World Applications*,**36**, (2017), 203-232. - C. Guiver, C. Edholm, Y. Jin, M. Mueller, J. Powell, R. Rebarber, B. Tenhumberg, and S. Townley, Simple adaptive control for positive linear systems with applications to pest management,
*SIAM Journal on Applied Mathematics*,**76(1)**, (2017), 238-275. - Q. Huang, Y. Jin, M. A. Lewis, R0 Analysis of a Benthic-Drift Model for a Stream Population,
*SIAM Journal on Applied Dynamical Systems*,**15(1)**, (2016), 287-321. - K. Gagnon, S. Peacock, Y. Jin, M. A. Lewis, Modelling the spread of the invasive alga Codium fragile driven by long-distance dispersal of buoyant propagules,
*Ecological Modelling*,**316**, (2015), 111-121. - J. Jacobsen, Y. Jin, M. A. Lewis, Integrodifference models for persistence in temporally varying river environments,
*Journal of Mathematical Biology*,**70**, (2015), 549-590. - Y. Jin, F. Hilker, P. Steffler, M. A. Lewis, Seasonal invasion dynamics in a spatially heterogeneous river with fluctuating flows,
*Bulletin of Mathematical Biology*,**76**, (2014), 1522-1565. - K. Wang, Y. Jin, A. Fan, The effect of immune responses in viral infections: a mathematical model view,
*Discrete and Continuous Dynamical Systems-Series B*,**19(10)**, (2014), 3379-3396. - H. W. Mckenzie, Y. Jin, J. Jacobsen and M. A. Lewis, R0 analysis of a spatiotemporal model for a stream population,
*SIAM Journal on Applied Dynamical Systems*,**11(2)**, (2012), 567-596. - Y. Jin and M. A. Lewis, Seasonal influences on population spread and persistence in streams: spreading speeds,
*Journal of Mathematical Biology*,**65(3)**, (2012), 403-439. - Y. Jin and M. A. Lewis, Seasonal influences on population spread and persistence in streams: critical domain size,
*SIAM Journal on Applied Mathematics*,**71(4)**, (2011), 1241-1262. - J. N. Marleau, Y. Jin, J. G. Bishop, W. F. Fagan and M. A. Lewis, A stoichiometric model of early plant primary succession,
*The American Naturalist*,**177(2)**, (2011), 233-245. - Y. Jin and X. - Q. Zhao, Spatial dynamics of a discrete-time population model in a periodic lattice habitat,
*Journal of Dynamics and Differential Equations*,**21(3)**, (2009), 501-525. - Y. Jin and X. - Q. Zhao, Spatial dynamics of a periodic population model with dispersal,
*Nonlinearity*,**22**, (2009), 1167-1189. - Y. Jin and X. - Q. Zhao, Spatial dynamics of a nonlocal periodic reaction-diffusion model with stage structure,
*SIAM Journal on Mathematical Analysis*,**40(6)**, (2009), 2496-2516. - Y. Jin and X. - Q. Zhao, Bistable waves for a class of cooperative reaction-diffusion systems,
*Journal of Biological Dynamics*,**2(2)**, (2008) 196-207. - Y. Jin, W. Wang and S. Xiao, An SIRS model with a nonlinear incidence rate,
*Chaos, Solitons and Fractals*,**34(5)**, (2007) 1482-1497. - S. Xiao, W. Wang and Y. Jin, Asymptotic behavior of a predator-prey population model with stage-structure,
*Journal of Biomathematics*,**22(1)**, (2007) 37-45. - Y. Jin and W. Wang, The effect of population dispersal on the spread of a disease,
*Journal of Mathematical Analysis and Applications*,**308**, (2005) 343-364. - Y. Jin and W. Wang, Advances in epidemic models (in Chinese),
*Notices of the Chinese Society for Mathematical Biology*,**2**, (2005), 3-6. - Y. Jin, Y. Zhang and W. Wang, An epidemic model with stage structure (in Chinese),
*Journal of Southwest China Normal University (Natural Science)*,**28(6)**, (2003) 863- 868.

## 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.