Yu Jin
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Education
Research
Teaching

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, 20142018. Principal Investigator
 Multidisciplinary Seed Grant "Prediction and control of invasive species in the presence of uncertainty" (with Richard Rebarber and Brigitte Tenhumberg), University of NebraskaLincoln, $8,000, 2013  2014
 AMSSimons Travel Grant, $4,000, July 2012  June 2014
 Research Development Fellows Program, 20122013, University of NebraskaLincoln
 NSF, REU Site: Nebraska REU in Applied math, May 1, 2013  April 30, 2016, Senior Investigator. (PI: Richard Rebarber, coPI: Glenn
Ledder)
 Project NEXT Follow 20122013, declined because I did not get the visa before the first workshop
 UNL faculty startup fund
Published, Accepted and Submitted PeerReviewed
Papers
 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 BenthicDrift Model for Two
Competitive Species,
Submitted to Journal of Mathematical Analysis and Applications, 2017.
 T. Zhang, Y. Jin,
Traveling waves for a reactiondiffusionadvection predator
prey model,
Nonlinear Analysis: Real World Applications, 36, (2017),
203232.
 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),
238275.
 Q. Huang, Y. Jin, M. A. Lewis,
R0 Analysis of a BenthicDrift Model for a Stream Population,
SIAM Journal on Applied Dynamical Systems, 15(1), (2016),
287321.
 K. Gagnon, S. Peacock, Y. Jin, M. A. Lewis,
Modelling the spread of the invasive
alga Codium fragile driven by longdistance dispersal of buoyant propagules, Ecological
Modelling, 316, (2015), 111121.
 J. Jacobsen, Y. Jin, M. A. Lewis,
Integrodifference models for persistence in
temporally varying river environments, Journal of Mathematical Biology, 70, (2015), 549590.
 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), 15221565.
 K. Wang, Y. Jin, A. Fan,
The effect of immune responses in viral infections:
a mathematical model view, Discrete and Continuous Dynamical SystemsSeries B,
19(10), (2014), 33793396.
 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), 567596.
 Y. Jin and M. A. Lewis,
Seasonal influences on population spread and persistence in streams: spreading speeds,
Journal of Mathematical Biology, 65(3), (2012), 403439.
 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), 12411262.
 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), 233245.
 Y. Jin and X.  Q. Zhao,
Spatial dynamics of a discretetime population model in a
periodic lattice habitat, Journal of Dynamics and Differential Equations, 21(3), (2009), 501525.
 Y. Jin and X.  Q. Zhao,
Spatial dynamics of a periodic population model with dispersal, Nonlinearity, 22, (2009), 11671189.
 Y. Jin and X.  Q. Zhao,
Spatial dynamics of a nonlocal periodic reactiondiffusion
model with stage structure, SIAM Journal on Mathematical Analysis, 40(6), (2009),
24962516.
 Y. Jin and X.  Q. Zhao,
Bistable waves for a class of cooperative reactiondiffusion
systems, Journal of Biological Dynamics, 2(2), (2008) 196207.
 Y. Jin, W. Wang and S. Xiao,
An SIRS model with a nonlinear incidence rate, Chaos,
Solitons and Fractals, 34(5), (2007) 14821497.
 S. Xiao, W. Wang and Y. Jin,
Asymptotic behavior of a predatorprey population
model with stagestructure, Journal of Biomathematics, 22(1), (2007) 3745.
 Y. Jin and W. Wang,
The effect of population dispersal on the spread of a disease,
Journal of Mathematical Analysis and Applications, 308, (2005) 343364.
 Y. Jin and W. Wang,
Advances in epidemic models (in Chinese), Notices of the Chinese
Society for Mathematical Biology, 2, (2005), 36.
 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
 Traveling waves for a predatorprey model in a river
environment, The Eleventh International Conference on Recent
Advances in Applied Dynamical Systems, Xi’an Jiaotong University,
Xi'an, China, June 911, 2017. (Invited
talk)
 Traveling waves for a reactiondiffusionadvection predatorprey
model, AMS Spring Western Sectional Meeting, Washington State
University, Pullman, WA, April 2223, 2017. (Invited
talk)
 R0 Analysis of a BenthicDrift Model for a Stream
Population, Mathematical
Biology Seminar, Department of Mathematics, University of
NebraskaLincoln, 2016.
 Population Dynamics in Temporally Varying River
Environments, Department of Mathematics, National Chung Cheng University, Taiwan,
June 2016. (Invited
talk)
 Traveling waves for a reactiondiffusionadvection
predatorprey 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 BenthicDrift Model for a Stream
Population, 2016 NCTS International Workshop in Mathematical Biology, Hsinchu, Taiwan, May 2123, 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 1618, 2016. (Invited
talk)
 Spatial Population Dynamics in Streams and Rivers, Landscape Seminar, Department of Mathematics, University of NebraskaLincoln,
2016.
 The effect of immune responses in viral infections, Mathematical
Biology Seminar, Department of Mathematics, University of
NebraskaLincoln, 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 47,
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 2527,
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 2527,
2015. (Invited
talk)
 Persistence Metrics and Invasion Ratchet of Stream/River Species,
Workshop on Recent Advances in ReactionDiffusion Equations and Applications,
Jiangsu Normal University, Xuzhou, China, May 2124,
2015. (Invited
talk)
 Population persistence in temporally varying river environments, AMS Spring Southeastern Sectional Meeting, University of Alabama in Huntsville, Huntsville, AL, March 2729,
2015. (Invited
talk)
 Seasonal Invasion Dynamics in a Spatially Heterogeneous River with Fluctuating Flows, AMS Spring Eastern Sectional Meeting, Georgetown University, Washington, DC, March 78,
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
NebraskaLincoln, 2014.
 A Journey into Mathematical Biology, Mathematics Club Seminar, Department of Mathematics, University of NebraskaLincoln, 2014.
 Instream Flow Needs and Spatial Population
Dynamics in Streams and Rivers, Landscape Seminar, Department of Mathematics, University of NebraskaLincoln, 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 NebraskaLincoln, 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
NebraskaLincoln, 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 reactiondiffusion 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 reactiondiffusion model with stagestructure,
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 reactiondiusion 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, CMSMITACS 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 SelfOrganization 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 911, 2017.
 AMS Spring Western Sectional Meeting, Washington State
University, Pullman, WA, April 2223, 2017.
 2016 NCTS International Workshop in Mathematical Biology, Hsinchu, Taiwan, May 2123, 2016.
 46th Annual John H. Barrett Memorial Lectures,
Modeling and Analysis of Nonlinear PDEs in Spatial Ecology, Knoxville, Tennessee, May 1618, 2016.
 International Symposium on Application of Nonlinear Partial Differential Equations in Life Science, Tianjin, China, August 47, 2015.
 Workshop on Differential Equations and Applications to Biological Models, Tongji University, Shanghai, China, May 2527, 2015.
 Workshop on Recent Advances in ReactionDiffusion Equations and Applications,
Jiangsu Normal University, Xuzhou, China, May 2124, 2015.
 AMS Spring Southeastern Sectional Meeting, University of Alabama in Huntsville, Huntsville, AL, March 2729, 2015.
 AMS Spring Eastern Sectional Meeting, Georgetown University, Washington, DC, March 78, 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 SelfOrganization 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.
 CMSMITACS Joint Conference 2007 (national),
Winnipeg, MB, June, 2007.
 CAIMSMITACS 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 ICM2002), Guilin, P. R. China, 2002.
