Stochastic Approximation Procedure for Isolated Population in Fast Oscillated Random Environment

APLIMAT 2018 : 17th Conference on Applied Mathematics : Proceedings 2018
Jevgeņijs Carkovs, Jolanta Goldšteine, Kārlis Šadurskis

The paper deals with a logistic type population mathematical model given in a form of Markov impulsive differential equation controlled by a fast oscillating ergodic Poisson process. Applying the stochastic approximation procedure, we construct and analyse ordinary differential equations for the mean value of population size and stochastic Ito differential equation for random deviations on the mean values.

Keywords
Stochastic modelling, logistic equations, stochastic approximation
Hyperlink
http://www.evlm.stuba.sk/APLIMAT2018/proceedings/Papers/0197_Carkovs_et_al.pdf

Carkovs, J., Goldšteine, J., Šadurskis, K. Stochastic Approximation Procedure for Isolated Population in Fast Oscillated Random Environment. In: APLIMAT 2018 : 17th Conference on Applied Mathematics : Proceedings, Slovakia, Bratislava, 6-8 February, 2018. Bratislava: Slovak University of Technology, 2018, pp.197-204. ISBN 978-80-227-4765-3.

Publication language
English (en)