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arXiv 0906.4845math.PR
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多类型接触过程的生存与共存

Survival and coexistence for a multitype contact process

J. Theodore Cox, Rinaldo B. Schinazi

摘要:

研究了$d$维整数格和正则树上具有等死亡率和不等出生率的多型接触过程的遍历论。我们证明了,在一定的时间间隔内的出生率有共存的树,这是由Neuhauser的结果是不可能的格。我们还证明了一个全收敛的结果时,较大的出生率落在这个区间之外。

英文摘要:

We study the ergodic theory of a multitype contact process with equal death rates and unequal birth rates on the $d$-dimensional integer lattice and regular trees. We prove that for birth rates in a certain interval there is coexistence on the tree, which by a result of Neuhauser is not possible on the lattice. We also prove a complete convergence result when the larger birth rate falls outside of this interval.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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