Stochastic Geometry for Population-Dynamic Modeling: A Dieckmann Model with Immovable Individuals

Stochastic Geometry for Population-Dynamic Modeling: A Dieckmann Model with Immovable Individuals

A study is performed of the main approaches to investigating the stochastic process of population dynamics. Continuous time and space and immovable individuals are used to derive a denumerable system of integrodifferential equations corresponding to the dynamics of the spatial momentum of this proce...

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Bibliographic Details
Published in:Moscow University computational mathematics and cybernetics Vol. 44; no. 2; pp. 61 - 68
Main Authors: Galkin, E. G., Nikitin, A. A.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 2020
Springer Nature B.V
Subjects:
Dynamic models
Mathematics
Mathematics and Statistics
Momentum
Stochastic processes
mathematical modeling
mathematical biology
integrodifferential equations
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Summary:A study is performed of the main approaches to investigating the stochastic process of population dynamics. Continuous time and space and immovable individuals are used to derive a denumerable system of integrodifferential equations corresponding to the dynamics of the spatial momentum of this process. A way to find an approximate solution using the momentum approach is described.
ISSN:0278-6419
1934-8428
DOI:10.3103/S027864192002003X