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RESEARCH

Research Interests

  • Mathematical biology
  • Dynamical systems and differential equations
  • Applied mathematics
Publication List
  1. H. W. Mckenzie, Y. Jin, J. Jacobsen and M. A. Lewis, R0 analysis of a spatiotemporal model for a stream population, accepted by SIAM Journal on Applied Dynamical Systems.

  2. Y. Jin and M. A. Lewis, Seasonal influences on population spread and persistence in streams: spreading speeds, Journal of Mathematical Biology, DOI: 10.1007/s00285-011-0465-x.

  3. 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.

  4. 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.

  5. 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.

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

  7. 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.

  8. 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.

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

  10. 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.

  11. 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.

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

  13. 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
  • 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.

  • 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 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.