- PII
- 10.31857/S0555292323020055-1
- DOI
- 10.31857/S0555292323020055
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 59 / Issue number 2
- Pages
- 63-82
- Abstract
- 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.
- Keywords
- маркированная модель контактов в непрерывном пространстве процесс рождения и гибели в непрерывной среде критический режим корреляционные функции
- Date of publication
- 18.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 14
References
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