Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2019 (2019)

Commun. Math. Biol. Neurosci. 2019 (2019), Article ID 7

Numerical analysis of stability for a nonlinear size-structured population model with elastic growth

Shu-Ping Wang, Peng Wu, Ze-Rong He

PDF (572.6 KB) https://doi.org/10.28919/cmbn/3930

Abstract

This article is concerned with an upwind difference scheme for a nonlinear size-dependent population model, into which an elastic growth is incorporated; that is, a decrease of size is possible. We make a through analysis of convergence for the numerical method, and use it as an auxiliary tool in the investigation of stability of population steady states. Two examples are presented.

Published
22 March 2019
Volume
2019 (2019)
License
CC BY 3.0

Copyright © 2019 Shu-Ping Wang, Peng Wu, Ze-Rong He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S.-P. Wang, P. Wu, Z.-R. He, Numerical analysis of stability for a nonlinear size-structured population model with elastic growth, Commun. Math. Biol. Neurosci. 2019 (2019), 7. https://doi.org/10.28919/cmbn/3930

BibTeX
@article{Wang2019,
  author  = {Wang, Shu-Ping and Wu, Peng and He, Ze-Rong},
  title   = {Numerical analysis of stability for a nonlinear size-structured population model with elastic growth},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2019},
  year    = {2019},
  pages   = {7},
  doi     = {10.28919/cmbn/3930}
}