# Spatial population dynamics: Beyond the Kirkwood superposition approximation by advancing to the Fisher–Kopeliovich ansatz

@article{Omelyan2020SpatialPD, title={Spatial population dynamics: Beyond the Kirkwood superposition approximation by advancing to the Fisher–Kopeliovich ansatz}, author={Igor Omelyan}, journal={Physica A: Statistical Mechanics and its Applications}, year={2020} }

## 6 Citations

Population dynamics with spatial structure and an Allee effect

- Mathematics, Environmental ScienceProceedings of the Royal Society A
- 2020

An individual-based model that incorporates both short-range interactions and an Allee effect is developed that accurately captures the modified Allee threshold in the presence of spatial structure and derives a mathematically tractable continuum approximation of the IBM in terms of the dynamics of spatial moments.

Population dynamics with spatial structure and an Allee effect

- MathematicsbioRxiv
- 2020

This work develops an individual-based model (IBM) that incorporates both short-range interactions and an Allee effect and derives a mathematically tractable continuum approximation of the IBM in terms of the dynamics of spatial moments that accurately captures the modified Allee threshold in the presence of spatial structure.

Algorithm for numerical solutions to the kinetic equation of a spatial population dynamics model with coalescence and repulsive jumps

- MathematicsNumerical Algorithms
- 2020

The numerical algorithm used to solve the kinetic equation is based on space-time discretization, boundary conditions, composite Simpson and trapezoidal rules, Runge-Kutta methods, and adjustable system-size schemes and it is shown that, for special choices of the model parameters, the solutions manifest unusual time behavior.

Asymptotic expansion approximation for spatial structure arising from directionally biased movement

- Mathematics, Environmental Science
- 2019

Management of Demographic Processes in the Countryside of the Far East of Russia

- Fundamental and Applied Scientific Research in the Development of Agriculture in the Far East (AFE-2021)
- 2021

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