摘要 Cooperative interactions pervade the dynamics of

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論文資訊

• 類型：已發表論文
• 日期：2021

摘要

Cooperative interactions pervade the dynamics of a broad rage of many-body systems, such as ecological communities, the organization of 社會 structures, and 經濟 webs. In this work, we investigate the dynamics of a simple 族群 model that is driven by cooperative and symmetric interactions between two 物種. We develop a mean-field and a 隨機 description for this cooperative two-物種 reaction scheme. For an isolated 族群, we determine the probability to reach a state of fixation, where only one 物種 survives, as a function of the initial concentrations of the two 物種. We also determine the time to reach the fixation state. When each 物種 can migrate into the 族群 and replace a randomly selected individual, the 族群 reaches a steady state. We show that this steady-state distribution undergoes a unimodal to trimodal

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