Search Advanced

Mathematical Biosciences and Engineering

2016, Volume 13, Issue 2: 261-279. doi: 10.3934/mbe.2015002
Previous Article Next Article

Structured populations with diffusion and Feller conditions

  • 1.
    Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdańsk
  • 2.
    Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk
  • Received: 01 February 2015 Accepted: 29 June 2018 Published: 25 November 2015

  • MSC : Primary: 35Q92, 92D25; Secondary: 47N60, 35B35.

  • We prove a weak maximum principle for structured population models with dynamic boundary conditions. We establish existence and positivity of solutions of these models and investigate the asymptotic behaviour of solutions. In particular, we analyse so called size profile.

    Citation: Agnieszka Bartłomiejczyk, Henryk Leszczyński. Structured populations with diffusion and Feller conditions[J]. Mathematical Biosciences and Engineering, 2016, 13(2): 261-279. doi: 10.3934/mbe.2015002

    Related Papers:

  • We prove a weak maximum principle for structured population models with dynamic boundary conditions. We establish existence and positivity of solutions of these models and investigate the asymptotic behaviour of solutions. In particular, we analyse so called size profile.


    加载中
    [1] Appl. Math., 45 (2000), 69-80.
    [2] Birkhauser, 2014.
    [3] Appl. Numer. Math., 94 (2015), 140-148.
    [4] Nonlinear. Anal., 57 (2004), 63-84.
    [5] Disc. Cont. Dyn. Sys. Series B, 17 (2012), 2313-2327.
    [6] J. Evol. Equat., 12 (2012), 495-512.
    [7] SIAM, Philadelphia, 1998.
    [8] Springer, New York, 2000.
    [9] J. Math. Anal. App., 328 (2007), 119-136.
    [10] Math. Biosci. Eng., 8 (2011), 503-513.
    [11] Trans. Amer. Math. Soc., 77 (1954), 1-31.
    [12] Prentice-Hall, Englewood Cliffs, N.J. 1964.
    [13] Math. Biosc., 54 (1981), 49-59.
    [14] Math. Biosci. Eng., 7 (2010), 37-49.
    [15] J. Math. Anal. Appl., 297 (2004), 234-256.
    [16] Non. Anal., 73 (2010), 3162-3170.
    [17] Nauka, Moscow, 1967; (Translation of Mathematical Monographs, Vol. 23 Am. Math. Soc., Providence, R.I., 1968).
    [18] Lecture Notes in Mathematics, Vol.1936, Springer-Verlag, Berlin, Heidelberg, 2008.
    [19] Lect. Notes in Biomath. Vol. 68, Springer, Berlin, 1986.
    [20] Frontiers in Mathematics series, Birkhäuser, Boston, 2007.
    [21] SIAM J. Appl. Math., 48 (1988), 549-591.
    [22] SIAM J. Math. Anal., 19 (1988), 1108-1118.
    [23] Springer-Verlag, Berlin, Heidelberg, 1998.
    [24] Theory Probab. Appl., 4 (1959), 164-177.
  • Reader Comments
  • © 2016 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
Mathematical Biosciences and Engineering
3.9

Metrics

Article views(2238) PDF downloads(704) Cited by(3)

Preview PDF
Download XML
Export Citation
Article outline

Other Articles By Authors

Related pages

Tools

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog