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On a Mathematical model with non-compact boundary conditions describing bacterial population (Ⅱ)
LMCM-RSA, 22 Rue Des Canadiens, Poitiers, 86000, France |
This work is a natural continuation of an earlier one [
References:
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M. Boulanouar,
On a Mathematical model with non-compact boundary conditions describing bacterial population, Trans. Theory. and Stat. Physics, 42 (2013), 99-130.
doi: 10.1080/00411450.2013.866144. |
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M. Boulanouar,
Transport equation for growing bacterial populations (Ⅰ), Electron. J. Diff. Equ., 221 (2012), 1-25.
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M. Boulanouar,
Un modèle de Rotenberg avec la loi à mémoire parfaite, C.R.A.S. Paris Série I Math., 327 (1998), 965-968.
doi: 10.1016/S0764-4442(99)80161-X. |
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M. Boulanouar, On a Mathematical model with non-compact boundary conditions describing bacterial population : Asynchronous Growth Property, Submitted |
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C. V. M. van der Mee and P. Zweifel,
A Fokker-Planck equation for growing cell populations, J. Math. Biol., 25 (1987), 61-72.
doi: 10.1007/BF00275888. |
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C. V. M. van der Mee, A transport equation modeling in cell growth, Stochastic Modeling in Biology (P. Tautu, Eds), Word Sci., Publishing, 1990,381–398. |
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W. Desch, I. Lasiecka and W. Schappacher, Feedback boundary control problems for linear semigroups, Isr., J., Math., 51 91985), 177–207.
doi: 10.1007/BF02772664. |
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B. Pagter,
Irreducible compact operators, Math. Z, 192 (1986), 149-153.
doi: 10.1007/BF01162028. |
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M. Rotenberg,
Transport theory for growing cell populations, J. Theor. Biol., 103 (1983), 181-199.
doi: 10.1016/0022-5193(83)90024-3. |
show all references
References:
| [1] |
M. Boulanouar,
On a Mathematical model with non-compact boundary conditions describing bacterial population, Trans. Theory. and Stat. Physics, 42 (2013), 99-130.
doi: 10.1080/00411450.2013.866144. |
| [2] |
M. Boulanouar,
Transport equation for growing bacterial populations (Ⅰ), Electron. J. Diff. Equ., 221 (2012), 1-25.
|
| [3] |
M. Boulanouar,
Un modèle de Rotenberg avec la loi à mémoire parfaite, C.R.A.S. Paris Série I Math., 327 (1998), 965-968.
doi: 10.1016/S0764-4442(99)80161-X. |
| [4] |
M. Boulanouar, On a Mathematical model with non-compact boundary conditions describing bacterial population : Asynchronous Growth Property, Submitted |
| [5] |
C. V. M. van der Mee and P. Zweifel,
A Fokker-Planck equation for growing cell populations, J. Math. Biol., 25 (1987), 61-72.
doi: 10.1007/BF00275888. |
| [6] |
C. V. M. van der Mee, A transport equation modeling in cell growth, Stochastic Modeling in Biology (P. Tautu, Eds), Word Sci., Publishing, 1990,381–398. |
| [7] |
W. Desch, I. Lasiecka and W. Schappacher, Feedback boundary control problems for linear semigroups, Isr., J., Math., 51 91985), 177–207.
doi: 10.1007/BF02772664. |
| [8] |
B. Pagter,
Irreducible compact operators, Math. Z, 192 (1986), 149-153.
doi: 10.1007/BF01162028. |
| [9] |
M. Rotenberg,
Transport theory for growing cell populations, J. Theor. Biol., 103 (1983), 181-199.
doi: 10.1016/0022-5193(83)90024-3. |
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