Dynamics of a stochastic three-species nutrient-phytoplankton-zooplankton model

Fu Yingjie, Lan Guijie, Zhang Shuwen, Wei Chunjin

Abstract


We investigate a stochastic three-species nutrient-phytoplankton-zooplankton model in this paper. We verify that the system admits a unique positive global solution starting from any positive initial value firstly. Then the sufficient conditions that guarantee the population extinction and persistence in the mean are derived. The results show that weaker white noise will strengthen the stability of the system, while stronger white noise will result in extinction of population. We also show that around the positive equilibrium point of deterministic system, the stochastic system is weakly persistent in the mean under some conditions.

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Published: 2018-08-24

How to Cite this Article:

Fu Yingjie, Lan Guijie, Zhang Shuwen, Wei Chunjin, Dynamics of a stochastic three-species nutrient-phytoplankton-zooplankton model, Communications in Mathematical Biology and Neuroscience, Vol 2018 (2018), Article ID 17

Copyright © 2018 Fu Yingjie, Lan Guijie, Zhang Shuwen, Wei Chunjin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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