Abstract
A self-consistent model of the dynamics of a cellular population described by the generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation with nonlocal competitive losses and interaction with the environment is formulated, in which the dynamics is described by the diffusion equation with allowance for the interaction of the population and the environment. With the help of computer modeling, the formation of the population pattern under the influence of the environment is considered. Possible applications of the model and its generalizations are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 1093-1099 |
| Number of pages | 7 |
| Journal | Russian Physics Journal |
| Volume | 61 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Oct 2018 |
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Keywords
- nonlocal generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation
- pattern formation
- selfconsistent model
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Influence of the Environment on Pattern Formation in the One-Dimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Model. / Shapovalov, A. V.; Obukhov, V. V.
In: Russian Physics Journal, Vol. 61, No. 6, 01.10.2018, p. 1093-1099.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Influence of the Environment on Pattern Formation in the One-Dimensional Nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov Model
AU - Shapovalov, A. V.
AU - Obukhov, V. V.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - A self-consistent model of the dynamics of a cellular population described by the generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation with nonlocal competitive losses and interaction with the environment is formulated, in which the dynamics is described by the diffusion equation with allowance for the interaction of the population and the environment. With the help of computer modeling, the formation of the population pattern under the influence of the environment is considered. Possible applications of the model and its generalizations are discussed.
AB - A self-consistent model of the dynamics of a cellular population described by the generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation with nonlocal competitive losses and interaction with the environment is formulated, in which the dynamics is described by the diffusion equation with allowance for the interaction of the population and the environment. With the help of computer modeling, the formation of the population pattern under the influence of the environment is considered. Possible applications of the model and its generalizations are discussed.
KW - nonlocal generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation
KW - pattern formation
KW - selfconsistent model
UR - http://www.scopus.com/inward/record.url?scp=85055122648&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85055122648&partnerID=8YFLogxK
U2 - 10.1007/s11182-018-1501-8
DO - 10.1007/s11182-018-1501-8
M3 - Article
VL - 61
SP - 1093
EP - 1099
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 6
ER -