Yu Jin

Home

Education

Research

Teaching

RESEARCH

Research Interests

  • Mathematical biology

  • Dynamical systems and differential equations

  • Applied mathematics

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

  • UNL faculty startup fund

Published, Accepted and Submitted Peer-Reviewed Papers
  1. Y. Jin, F. Lutscher, and Y. Pei, Meandering rivers: How important is lateral variability for species persistence?, Submitted to Bulletin of Mathematical Biology, 2017.

  2. Y. Jin, F.-B. Wang, Dynamics of a Benthic-Drift Model for Two Competitive Species, Submitted to Journal of Mathematical Analysis and Applications, 2017.

  3. T. Zhang, Y. Jin, Traveling waves for a reaction-diffusion-advection predator- prey model, Nonlinear Analysis: Real World Applications, 36, (2017), 203-232.

  4. 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.

  5. 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.

  6. 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.

  7. J. Jacobsen, Y. Jin, M. A. Lewis, Integrodifference models for persistence in temporally varying river environments, Journal of Mathematical Biology, 70, (2015), 549-590.

  8. 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.

  9. 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.

  10. 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.

  11. 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.

  12. 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.

  13. 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.

  14. 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.

  15. Y. Jin and X. - Q. Zhao, Spatial dynamics of a periodic population model with dispersal, Nonlinearity, 22, (2009), 1167-1189.

  16. 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.

  17. 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.

  18. Y. Jin, W. Wang and S. Xiao, An SIRS model with a nonlinear incidence rate, Chaos, Solitons and Fractals, 34(5), (2007) 1482-1497.

  19. 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.

  20. 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.

  21. Y. Jin and W. Wang, Advances in epidemic models (in Chinese), Notices of the Chinese Society for Mathematical Biology, 2, (2005), 3-6.

  22. 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.

Presentations
  1. 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)

  2. 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)

  3. R0 Analysis of a Benthic-Drift Model for a Stream Population, Mathematical Biology Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2016.

  4. Population Dynamics in Temporally Varying River Environments, Department of Mathematics, National Chung Cheng University, Taiwan, June 2016. (Invited talk)

  5. Traveling waves for a reaction-diffusion-advection predator-prey model, Seminar at National Center for Theoretical Sciences Mathematics Division (NCTS), Hsinchu, Taiwan, June 2016.

  6. Seasonal Influences on Population Spread and Persistence in Streams, Seminar at National Center for Theoretical Sciences Mathematics Division (NCTS), Hsinchu, Taiwan, June 2016.

  7. 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)

  8. 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)

  9. Spatial Population Dynamics in Streams and Rivers, Landscape Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2016.

  10. The effect of immune responses in viral infections, Mathematical Biology Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2015.

  11. 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)

  12. Population Persistence in Temporally Varying River Environments, Southwest University, Chongqing, P. R. China, 2015. (Invited talk)

  13. 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)

  14. Population Persistence in River Environments, Workshop on Differential Equations and Applications to Biological Models, Tongji University, Shanghai, China, May 25-27, 2015. (Invited talk)

  15. 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)

  16. 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)

  17. 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)

  18. 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)

  19. Population persistence in temporally varying river environments, Joint Mathematics Meetings, San Antonio, TX, 2015.

  20. Seasonal Invasion Dynamics in Spatially Heterogeneous Rivers with Fluctuating Flows, Mathematical Biology Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2014.

  21. A Journey into Mathematical Biology, Mathematics Club Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2014.

  22. Instream Flow Needs and Spatial Population Dynamics in Streams and Rivers, Landscape Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2014.

  23. Population Persistence in River Environments, Mathematical Biosciences Institute, The Ohio State University, 2014.

  24. Population Persistence in Temporally Varying River Environments, Mathematical Biology Seminar, Department of Mathematics and Statistics, University of Ottawa, 2014.

  25. Instream flow needs and spatial population dynamics in streams, Ecology, Evolution and Behavior (EEB) Seminar, University of Nebraska-Lincoln, 2013.

  26. Metrics for Population Persistence in Rivers, The Fourth Conference on Computational and Mathematical Population Dynamics, Taiyuan, China, 2013. (Invited talk)

  27. 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)

  28. Population persistence metrics in rivers, Mathematical Biology Seminar, Department of Mathematics, University of Nebraska-Lincoln, 2012.

  29. 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)

  30. Population spread and persistence in streams, Department of mathematics, Southwest University, Chongqing, P. R. China, 2012. (Invited talk)

  31. Population spread and persistence in streams, Department of mathematics, University of Science and Technology of China, Hefei, Anhui, P. R. China, 2012. (Invited talk)

  32. A new river metric - R_0, PIMS Mathematical Biology Seminar, Department of Mathematical and Statistical Sciences, University of Alberta, 2012.

  33. Population spread and persistence in streams, The International Council for Industrial and Applied Mathematics (ICIAM), Vancouver, 2011.

  34. Spread and persistence of stream species, PIMS Mathematical Biology Seminar, Department of Mathematical and Statistical Sciences, University of Alberta, 2011.

  35. The effects of temporal and spatial heterogeneity on population invasions in streams, Workshop on Modeling, Understanding, and Managing River Ecosystems, Ottawa, 2010.

  36. Bistable traveling waves for a reaction-diffusion system, Seventh Annual Canadian Young Researchers Conference in Mathematics and Statistics (CYRC 2010), Edmonton, 2010.

  37. Seasonal influences on spatial population dynamics, 2010 Canadian Mathematical Society Summer Meeting, Fredericton, 2010.

  38. Traveling waves for a population model, Second Annual Atlantic Mathematical Biology Workshop, Fredericton, 2010.

  39. 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.

  40. Population dispersal in a periodic environment, International Conference on Mathematical Biology and Annual Meeting of The Society for Mathematical Biology, Vancouver, 2009.

  41. Evolution dynamics of biological systems with spatial and temporal heterogeneities, PIMS Mathematical Biology Seminar, Department of Mathematical and Statistical Sciences, University of Alberta, 2009.

  42. Bistable waves for a class of reaction-di usion systems, School of Mathe- matics and Statistics, Southwest University, P. R. China, 2008.

  43. Spatial dynamics of a periodic population model, School of Mathematics and Statistics, Southwest University, P. R. China, 2008.

  44. Spatial dynamics of a periodic population model with dispersal, Departmental Colloquium, Department of Mathematics and Statistics, University of New Brunswick, 2008.

  45. 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.

  46. Spatial dynamics of a periodic population model with dispersal, CMS-MITACS Joint Conference 2007 (national), Winnipeg, June, 2007.

  47. Spatial dynamics of a population model with dispersal, Applied Dynamical Systems Seminar, Department of Mathematics and Statistics, Memorial University of Newfoundland, 2007.

  48. Dynamics of an SIRS model, Applied mathematics seminar, Department of Mathematics and Statistics, Memorial University of Newfoundland, 2006.

  49. The effect of population dispersal on the spread of a disease, Applied mathematics seminar, Department of Mathematics and Statistics, Memorial University of Newfoundland, 2006.

  50. The effect of population dispersal, First International Conference on Recent Advances in Bifurcation Theory and Applications of Dynamical Systems, Jinhua, P. R. China, 2005.

  51. 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
  1. The Eleventh International Conference on Recent Advances in Applied Dynamical Systems, Xi’an Jiaotong University, Xi'an, China, June 9-11, 2017.
  2. AMS Spring Western Sectional Meeting, Washington State University, Pullman, WA, April 22-23, 2017.
  3. 2016 NCTS International Workshop in Mathematical Biology, Hsinchu, Taiwan, May 21-23, 2016.
  4. 46th Annual John H. Barrett Memorial Lectures, Modeling and Analysis of Nonlinear PDEs in Spatial Ecology, Knoxville, Tennessee, May 16-18, 2016.
  5. International Symposium on Application of Nonlinear Partial Differential Equations in Life Science, Tianjin, China, August 4-7, 2015.
  6. Workshop on Differential Equations and Applications to Biological Models, Tongji University, Shanghai, China, May 25-27, 2015.
  7. Workshop on Recent Advances in Reaction-Diffusion Equations and Applications, Jiangsu Normal University, Xuzhou, China, May 21-24, 2015.
  8. AMS Spring Southeastern Sectional Meeting, University of Alabama in Huntsville, Huntsville, AL, March 27-29, 2015.
  9. AMS Spring Eastern Sectional Meeting, Georgetown University, Washington, DC, March 7-8, 2015.
  10. Joint Mathematics Meetings, San Antonio, TX, 2015.
  11. The International Council for Industrial and Applied Mathematics (ICIAM) workshop, Mathematical Biosciences Institute, The Ohio State University, Columbus, OH, May 2014.
  12. The Fourth Conference on Computational and Mathematical Population Dynamics, Taiyuan, China, 2013.
  13. Everything Disperses to Miami: The Role of Movement and Dispersal in Spatial Ecology, Epidemiology and Environmental Science, Miami, FL, 2012.
  14. The International Council for Industrial and Applied Mathematics (ICIAM), Vancouver, BC, 2011.
  15. Emerging Challenges at the Interface of Mathematics, Environmental Science and Spatial Eco, Banff, AB, 2011.
  16. The MBI Workshop for Young Researchers in Mathematical Biology (WYRMB), Columbus, OH, 2010.
  17. Workshop on Modeling, Understanding, and Managing River Ecosystems, Ottawa, ON, 2010.
  18. Seventh Annual Canadian Young Researchers Conference in Mathematics and Statistics (CYRC 2010), Edmonton, AB, 2010.
  19. 2010 Canadian Mathematical Society Summer Meeting, Fredericton, NB, 2010.
  20. Second Annual Atlantic Mathematical Biology Workshop, Fredericton, NB, 2010.
  21. International Conference on Mathematical Biology and Annual Meeting of The Society for Mathematical Biology, Vancouver, 2009.
  22. Workshop on Multiscale Analysis of Self-Organization in Biology (international), Banff, 2009.
  23. Alberta Colleges Mathematics Conference \& North South Dialogue in Mathematics (provincial), Red Deer, Alberta, 2009.
  24. Workshop on Deconstructing Biochemical Networks, Montreal (international), Quebec, September, 2007.
  25. Minicourse on Quantitative Biology, Montreal (international), Quebec, September, 2007.
  26. CMS-MITACS Joint Conference 2007 (national), Winnipeg, MB, June, 2007.
  27. CAIMS-MITACS 2006 Joint Annual Conference (national), Toronto, ON, 2006.
  28. 2006 Summer school on mathematical modeling of infectious diseases (national), York University, Toronto, ON, 2006.
  29. First International Conference on Recent Advances in Bifurcation Theory and Applications of Dynamical Systems, Jinhua, P. R. China, 2005.
  30. The 3rd International Conference on Mathematical Biology (A Satellite Meeting of ICM-2002), Guilin, P. R. China, 2002.