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

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

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.

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Published: 2019-03-22

How to Cite this Article:

Shu-Ping Wang, Peng Wu, Ze-Rong He, Numerical analysis of stability for a nonlinear size-structured population model with elastic growth, Commun. Math. Biol. Neurosci., 2019 (2019), Article ID 7

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.

Commun. Math. Biol. Neurosci.

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