Influence of the environment on pattern formation in the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov model. (English. Russian original) Zbl 1405.35230
Russ. Phys. J. 61, No. 6, 1093-1099 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 61, No. 6, 82-87 (2018).
Summary: 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.
MSC:
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 92D25 | Population dynamics (general) |
| 92C37 | Cell biology |
Keywords:
nonlocal generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation; pattern formation; selfconsistent modelReferences:
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