Asymptotic behaviour of some Markov operators appearing in mathematical models of biology

Igor Melicherčík

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 3, page 303-314
  • ISSN: 0232-0525

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Melicherčík, Igor. "Asymptotic behaviour of some Markov operators appearing in mathematical models of biology." Mathematica Slovaca 48.3 (1998): 303-314. <http://eudml.org/doc/32273>.

@article{Melicherčík1998,
author = {Melicherčík, Igor},
journal = {Mathematica Slovaca},
keywords = {Markov process; integral Markov operator; stationary density; sweeping},
language = {eng},
number = {3},
pages = {303-314},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Asymptotic behaviour of some Markov operators appearing in mathematical models of biology},
url = {http://eudml.org/doc/32273},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Melicherčík, Igor
TI - Asymptotic behaviour of some Markov operators appearing in mathematical models of biology
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 3
SP - 303
EP - 314
LA - eng
KW - Markov process; integral Markov operator; stationary density; sweeping
UR - http://eudml.org/doc/32273
ER -

References

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  1. BARON K.-LASOTA A., Asymptotic properties of Markov operators defined by Volterra type integrals, Preprint. Zbl0839.47021MR1239020
  2. FOGUEL S. R., The Ergodic Theory of Markov Processes, Van Nostrand-Reinhold, New York, 1969. (1969) Zbl0282.60037MR0261686
  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. (1995) Zbl0873.47021MR1372975
  4. KOMOROWSKI T.-TYRCHA J., Asymptotic properties of some Markov operators, Bull. Polish Acad. Sci. Math. 37 (1989), 221-228. (1989) Zbl0767.47012MR1101473
  5. LASOTA A.-MYJAK J., Generic properties of stochastic semigroups, Bull. Polish Acad. Sci. Math. 40 (1992), 283-292. (1992) Zbl0796.47032MR1402315
  6. LASOTA A.-MACKEY M. C., TYRCHA J., The stastical dynamics of recurrent biological events, J. Math. Biol. 30 (1992), 775-800. (1992) MR1188340
  7. TYRCHA J., Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle, J. Math. Biol. 26 (1988), 465-475. (1988) Zbl0716.92017MR0966316

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