Extinction and Persistence of the Random Barnacle-Algae-Mussel Model

本文主要考虑一个具有相互作用的潮间带岩石群落的随机藤壶–藻类–贻贝模型的灭绝性和持久性问题。首先证明了该模型具有唯一的全局正解。其次，证明了藤壶–贻贝相互作用导致藤壶–贻贝灭绝。最后，证明了藤壶–藻类–贻贝相互作用的持久性以及藤壶–藻类的灭绝性。This article mainly considers the extinction and persistence issues of a stochastic barnacle algae mussel model with interacting intertidal rock communities. Firstly, it has been proven that the model has a unique global positive solution. Secondly, it has been proven that the interaction between barnacles and mussels led to their extinction. Finally, the persistence of the interaction between barnacles, algae, and mussels, and the extinction of barnacles, algae, were demonstrated.