出生率和死亡率随州变化的接触过程的不变度量

IF 0.5 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Problems of Information Transmission Pub Date : 2023-12-23 DOI:10.1134/s0032946023020059

E. A. Zhizhina, S. A. Pirogov

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引用次数: 0

摘要

我们考虑局部紧凑可分离度量空间上的接触过程，其出生率和死亡率在空间上是异质的。我们提出了确保接触过程不变度量存在的比率条件。其中一个关键条件就是所谓的临界机制条件。为了证明不变量的存在，我们使用了前一篇论文中提出的方法。我们将详细讨论具有紧凑标记（物种）空间的多物种接触模型，在该模型中，出生率和死亡率都取决于标记。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Invariant Measures for Contact Processes with State-Dependent Birth and Death Rates

We consider contact processes on locally compact separable metric spaces with birth and death rates that are heterogeneous in space. We formulate conditions on the rates that ensure the existence of invariant measures of contact processes. One of the crucial conditions is the so-called critical regime condition. To prove the existence of invariant measures, we use the approach proposed in our preceding paper. We discuss in detail the multi-species contact model with a compact space of marks (species) in which both birth and death rates depend on the marks.

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来源期刊

Problems of Information Transmission 工程技术-计算机：理论方法

CiteScore

2.00

自引率

25.00%

发文量

审稿时长

>12 weeks

期刊介绍： Problems of Information Transmission is of interest to researcher in all fields concerned with the research and development of communication systems. This quarterly journal features coverage of statistical information theory; coding theory and techniques; noisy channels; error detection and correction; signal detection, extraction, and analysis; analysis of communication networks; optimal processing and routing; the theory of random processes; and bionics.