On Subjected to Rapid Random Extractions Two-Sex Population Growth

APLIMAT 2018 : 17th Conference on Applied Mathematics : Proceedings 2018
Jevgeņijs Carkovs, Andrejs Matvejevs

The paper analyzes a model for isolated population with sexual reproduction under assumption that the extractions are random and going at random time moments. Applying the approximative procedures of stochastic analysis we construct an ordinary differential equation for population dynamics in the mean and a linear stochastic differential equation for deviations on the mean trajectories. This approximative model permits to analyze a population growth as the Gaussian process with mean and variance given by ordinary differential equations.

Keywords
two-sex population, random extractions, diffusion approximation, random oscillations
Hyperlink
http://www.evlm.stuba.sk/APLIMAT2018/proceedings/Papers/0179_Carkovs_Matvejes.pdf

Carkovs, J., Matvejevs, A. On Subjected to Rapid Random Extractions Two-Sex Population Growth. In: APLIMAT 2018 : 17th Conference on Applied Mathematics : Proceedings, Slovakia, Bratislava, 6-8 February, 2018. Bratislava: Slovak University of Technology, 2018, pp.179-188. ISBN 978-80-227-4650-2.

Publication language
English (en)