Stationary distribution of a stochastic hybrid phytoplankton model with allelopathy
Abstract This research proposes and delves into a stochastic competitive phytoplankton model with allelopathy and regime-switching. Sufficient criteria are proffered to ensure that the model possesses a unique ergodic stationary distribution (UESD). Furthermore, it is testified that these criteria are sharp on certain conditions. Some critical functions of regime-switching on the existence of a UESD of the model are disclosed: regime-switching could lead to the appearance of the UESD. The theoretical findings are also applied to research the evolution of Heterocapsa triquetra and Chrysocromulina polylepis.
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2020 ◽
Vol 11
(1)
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pp. 81
2014 ◽
Vol 244
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pp. 235-243
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2020 ◽
Vol 11
(1)
◽
pp. 81
2019 ◽
Vol 535
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pp. 122221