| Title:
|
Absorption in stochastic epidemics (English) |
| Author:
|
Štěpán, Josef |
| Author:
|
Staněk, Jakub |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
45 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
458-474 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A two dimensional stochastic differential equation is suggested as a stochastic model for the Kermack–McKendrick epidemics. Its strong (weak) existence and uniqueness and absorption properties are investigated. The examples presented in Section 5 are meant to illustrate possible different asymptotics of a solution to the equation. (English) |
| Keyword:
|
SIR epidemic models |
| Keyword:
|
stochastic epidemic models |
| Keyword:
|
stochastic differential equation |
| Keyword:
|
strong solution |
| Keyword:
|
weak solution |
| Keyword:
|
absorption |
| Keyword:
|
Kermack–McKendrick model |
| MSC:
|
37N25 |
| MSC:
|
60H10 |
| MSC:
|
92D25 |
| MSC:
|
92D30 |
| idZBL:
|
Zbl 1165.92319 |
| idMR:
|
MR2543134 |
| . |
| Date available:
|
2010-06-02T18:44:11Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140009 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
