On Interspecific Competition of Logistic Populations with the Assumption of Rapid Random Contacts

APLIMAT 2018 : 17th Conference on Applied Mathematics : Proceedings 2018
Jevgeņijs Carkovs, Oksana Pavļenko

We analyze a logistic type Markov impulsive differential model for interspecific competition of two populations under assumption that they come into contact at random time moments only but between the contacts they grow independently. Assuming the intervals be sufficiently small we apply the stochastic averaging procedure and construct an ordinary 2-dimensional differential equation for population dynamics in the mean and a linear 2-dimensional stochastic differential equation for deviations on the mean trajectories.

Keywords
interspecific competition; random contacts; stochastic approximation.
Hyperlink
http://www.evlm.stuba.sk/APLIMAT2018/proceedings/Papers/0189_Carkovs_Pavlenko.pdf

Carkovs, J., Pavļenko, O. On Interspecific Competition of Logistic Populations with the Assumption of Rapid Random Contacts. In: APLIMAT 2018 : 17th Conference on Applied Mathematics : Proceedings, Slovakia, Bratislava, 6-8 February, 2018. Bratislava: Slovak University of Technology, 2018, pp.189-196. ISBN 978-80-227-4765-3.

Publication language
English (en)