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 regi...
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| Veröffentlicht in: | Problemy peredači informacii 2023-12, Vol.59 (2), p.63-82 |
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| container_title | Problemy peredači informacii |
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| creator | Zhizhina, E. A Pirogov, S. A |
| description | 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. |
| doi_str_mv | 10.31857/S0555292323020055 |
| format | Article |
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A</creatorcontrib><description>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. 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A</creatorcontrib><title>Invariant measures for contact processes with state-dependent birth and death rates</title><title>Problemy peredači informacii</title><description>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. 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A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Invariant measures for contact processes with state-dependent birth and death rates</atitle><jtitle>Problemy peredači informacii</jtitle><date>2023-12-15</date><risdate>2023</risdate><volume>59</volume><issue>2</issue><spage>63</spage><epage>82</epage><pages>63-82</pages><issn>0555-2923</issn><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. 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| language | eng |
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| source | Math-Net.Ru (free access) |
| title | Invariant measures for contact processes with state-dependent birth and death rates |
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