| Title:
|
Asymptotic behaviour of some Markov operators appearing in mathematical models of biology (English) |
| Author:
|
Melicherčík, Igor |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
303-314 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47B38 |
| MSC:
|
47B65 |
| MSC:
|
47G10 |
| MSC:
|
60J05 |
| MSC:
|
92B05 |
| idZBL:
|
Zbl 0945.47024 |
| idMR:
|
MR1647706 |
| . |
| Date available:
|
2009-09-25T11:30:48Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132272 |
| . |
| Reference:
|
[1] BARON K.-LASOTA A.: Asymptotic properties of Markov operators defined by Volterra type integrals.Preprint. Zbl 0839.47021, MR 1239020 |
| Reference:
|
[2] FOGUEL S. R.: The Ergodic Theory of Markov Processes.Van Nostrand-Reinhold, New York, 1969. Zbl 0282.60037, MR 0261686 |
| Reference:
|
[3] KOMORNÍK J.-MELICHERČÍK I.: The Foguel alternative for integral Markov operators.In: Dynamical Systems and Applications. World Sci. Ser. Appl. Anal. 4, World Sci. Publishing, River Edge, NJ, 1995, pp. 441-452. Zbl 0873.47021, MR 1372975 |
| Reference:
|
[4] KOMOROWSKI T.-TYRCHA J.: Asymptotic properties of some Markov operators.Bull. Polish Acad. Sci. Math. 37 (1989), 221-228. Zbl 0767.47012, MR 1101473 |
| Reference:
|
[5] LASOTA A.-MYJAK J.: Generic properties of stochastic semigroups.Bull. Polish Acad. Sci. Math. 40 (1992), 283-292. Zbl 0796.47032, MR 1402315 |
| Reference:
|
[6] LASOTA A.-MACKEY M. C., TYRCHA J.: The stastical dynamics of recurrent biological events.J. Math. Biol. 30 (1992), 775-800. MR 1188340 |
| Reference:
|
[7] TYRCHA J.: Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle.J. Math. Biol. 26 (1988), 465-475. Zbl 0716.92017, MR 0966316 |
| . |
