A bivariate non-homogeneous birth and death model for predator-prey interactions

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• 作者：Sorana Froda ; Vasile Vanciu
• 关键词：60J28 ; 92D40
• 刊名：Statistics and Probability Letters
• 出版年：2013
• 出版时间：November, 2013
• 年：2013
• 卷：83
• 期：11
• 页码：2526-2530
• 全文大小：363 K

文摘

We propose a bivariate non-homogeneous birth and death process as a model for predator-prey interactions. Its expectation is periodic, as it is a solution to the classical Lotka-Volterra system. Moreover, the mean age at extinction, as defined in , is infinite.