Stationary distribution of stochastic NP ecological model under regime switching

Huazheng Wang, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi and Bashir Ahmad

Physica A: Statistical Mechanics and its Applications, 2020, vol. 549, issue C

Abstract: Marine ecosystem is inevitably disturbed by random factors. This article discusses a nutrient–phytoplankton (NP) model with TPP which is disturbed by both white and telegraph noises. Firstly, we get sufficient conditions for the existence of ergodic stationary distribution by constructing a suitable stochastic Lyapunov function with regime switching. And then we establish sufficient conditions for extinction of the phytoplankton. Finally, the results of this paper are verified by numerical simulation.

Keywords: Nutrient–phytoplankton model; Itô formula; Stationary distribution; Stochastic Lyapunov function; Markov switching (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:549:y:2020:i:c:s0378437119322460

DOI: 10.1016/j.physa.2019.124064

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