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@inproceedings{1646078,
author = {Pospíšil, Zdeněk},
address = {Cham, Switzerland},
booktitle = {Difference Equations and Discrete Dynamical Systems with Applications},
doi = {http://dx.doi.org/10.1007/978-3-030-35502-9_14},
editor = {M. Bohner, S. Siegmund, R. Šimon Hilscher, P. Stehlík},
keywords = {diffusion; random walk; graph theory; stability of equilibria},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Cham, Switzerland},
isbn = {978-3-030-35501-2},
pages = {323-333},
publisher = {Springer},
title = {Discrete Reaction-Dispersion Equation},
url = {https://www.springer.com/gp/book/9783030355012},
year = {2020}
}
TY - JOUR
ID - 1646078
AU - Pospíšil, Zdeněk
PY - 2020
TI - Discrete Reaction-Dispersion Equation
PB - Springer
CY - Cham, Switzerland
SN - 9783030355012
KW - diffusion
KW - random walk
KW - graph theory
KW - stability of equilibria
UR - https://www.springer.com/gp/book/9783030355012
L2 - https://www.springer.com/gp/book/9783030355012
N2 - The paper introduces a discrete analogy of the reaction-diffusion partial differential equation. Both the time and the space are considered to be discrete, the space is represented by a simple graph. The equation is derived from ``first principles''. Basic qualitative properties, namely, existence and stability of equilibria are discussed. The results are demonstrated on a particular system that can be interpreted as a model of metapopulation on interconnected patches with a deadly boundary. A condition for size of habitat needed for population survival is established.
ER -
POSPÍŠIL, Zdeněk. Discrete Reaction-Dispersion Equation. In M. Bohner, S. Siegmund, R. Šimon Hilscher, P. Stehlík. \textit{Difference Equations and Discrete Dynamical Systems with Applications}. Cham, Switzerland: Springer, 2020, s.~323-333. ISBN~978-3-030-35501-2. Dostupné z: https://dx.doi.org/10.1007/978-3-030-35502-9\_{}14.
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