Rothe’s method for physiologically structured models with diffusion-Reference-Cited by-同舟云学术

Rothe’s method for physiologically structured models with diffusion

Published:2018-02-01 Issue:1 Volume:68 Page:211-224
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Bartłomiejczyk Agnieszka¹,Leszczński Henryk²,Marciniak Agnieszka²

Affiliation:

1. Faculty of Applied Physics and Mathematics, Gdańsk University of Technology , Gabriela Narutowicza 11/12 , Gdańsk , Poland

2. Institute of Mathematics, University of Gdańsk , Wita Stwosza 57 , Gdańsk , Poland

Abstract

Abstract We consider structured population models with diffusion and dynamic boundary conditions. The respective approximation, called Rothe’s method, produces positive and exponentially bounded solutions. Its solutions converge to the exact solution of the original PDE.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0094/pdf

Reference19 articles.

1. Bartłomiejczyk, A.—Leszczyński, H.: Method of lines for physiologically structured models with diffusion, Appl. Numer. Math. 94 (2015), 140–148.10.1016/j.apnum.2015.03.006

2. Bartłomiejczyk, A.—Leszczyński, H.: Structured populations with diffusion and Feller conditions, Math. Biosci. Eng. 13 (2016), 261–279.27105990

3. Blank, I.—Smith, P.:Convergence of Rothe’s method for fully nonlinear parabolic equations, J. Geom. Anal. 15 (2005), 363–372.10.1007/BF02930976

4. Calsina, A.—Saldana, J.: A model of physiologically structured population dynamics with a nonlinear individual growth rate, J. Math. Biol. 33 (1995), 335–364.

5. Farkas, A.—Hinow, P.: Physiologically structured population with diffusion and dynamic boundary conditions, Math. Biosci. Eng. 8 (2011), 503–513.2163114210.3934/mbe.2011.8.503

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