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Volumn 36, Issue 8, 1998, Pages 1-11

A cell population model described by impulsive PDEs - Existence and numerical approximation

Author keywords

Impulsive PDE; Population model; Semigroup

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; THEOREM PROVING;

EID: 0032184127     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00178-3     Document Type: Article
Times cited : (27)

References (16)
  • 1
    • 45449124401 scopus 로고
    • Strong ergodic properties of a first-order partial differential equation
    • P. Brunovsky and J. Komornik, Strong ergodic properties of a first-order partial differential equation, J. Math. Anal. Appl. 133, 14-26, (1988).
    • (1988) J. Math. Anal. Appl. , vol.133 , pp. 14-26
    • Brunovsky, P.1    Komornik, J.2
  • 2
    • 0002358606 scopus 로고
    • Stable and chaotic solutions of a first-order partial differential equation
    • A. Lasota, Stable and chaotic solutions of a first-order partial differential equation, Nonlinear Analysis 5, 1181-1193, (1981).
    • (1981) Nonlinear Analysis , vol.5 , pp. 1181-1193
    • Lasota, A.1
  • 3
    • 0002385033 scopus 로고
    • Periodic and chaotic behavior in structured models of cell population dynamics. Recent developments in evolution equations
    • Edited by A.C. McBride and G.F. Roach
    • G.F. Webb, Periodic and chaotic behavior in structured models of cell population dynamics. Recent developments in evolution equations, In Research Notes in Mathematics Series, (Edited by A.C. McBride and G.F. Roach), Volume 324, pp. 40-49, (1995).
    • (1995) Research Notes in Mathematics Series , vol.324 , pp. 40-49
    • Webb, G.F.1
  • 4
    • 0002766381 scopus 로고
    • Multistability and boundary layer development in a transport equation with delayed arguments
    • A.O. Ray and M.C. Mackey, Multistability and boundary layer development in a transport equation with delayed arguments, Canad. Appl. Math. Quar. 1, 61-81, (1993).
    • (1993) Canad. Appl. Math. Quar. , vol.1 , pp. 61-81
    • Ray, A.O.1    Mackey, M.C.2
  • 5
    • 0020509786 scopus 로고
    • Transport theory for growing cell populations
    • M. Rotenberg, Transport theory for growing cell populations, J. Theor. Biol. 103, 181-199, (1983).
    • (1983) J. Theor. Biol. , vol.103 , pp. 181-199
    • Rotenberg, M.1
  • 7
    • 0001459571 scopus 로고
    • Comparison principles for impulsive parabolic equations with applications to models of single species growth
    • L.H. Erbe, H.I. Freedman, X.Z. Liu and J.H. Wu, Comparison principles for impulsive parabolic equations with applications to models of single species growth, J. Austral. Math. Ser. B 32, 382-400, (1991).
    • (1991) J. Austral. Math. Ser. B , vol.32 , pp. 382-400
    • Erbe, L.H.1    Freedman, H.I.2    Liu, X.Z.3    Wu, J.H.4
  • 8
    • 84972573561 scopus 로고
    • Well-behaved derivation on C[0,1]
    • R. Delaubenfels, Well-behaved derivation on C[0,1], Pacific J. of Math. 115, 73-80, (1984).
    • (1984) Pacific J. of Math. , vol.115 , pp. 73-80
    • Delaubenfels, R.1
  • 9
    • 84972565199 scopus 로고
    • Derivations on the line and flows along orbits
    • C.J.K. Batty, Derivations on the line and flows along orbits, Pacific J. of Math. 126, 209-225, (1987).
    • (1987) Pacific J. of Math. , vol.126 , pp. 209-225
    • Batty, C.J.K.1
  • 10
    • 21744443380 scopus 로고    scopus 로고
    • The operator a(cursive chi)d/dcursive chi on Banach space
    • F.Y. Yao, The operator a(cursive chi)d/dcursive chi on Banach space, Proc. of the American Math. Soc. 125, 1027-1032, (1997).
    • (1997) Proc. of the American Math. Soc. , vol.125 , pp. 1027-1032
    • Yao, F.Y.1
  • 11
    • 0001444509 scopus 로고
    • Derivations on compact spaces
    • C.J.K. Batty, Derivations on compact spaces, Proc. London Math. Soc. 42, 299-330, (1981).
    • (1981) Proc. London Math. Soc. , vol.42 , pp. 299-330
    • Batty, C.J.K.1
  • 14
    • 0043167860 scopus 로고    scopus 로고
    • First order impulsive integro-differential equations on unbounded domain in a Banach space
    • D. Guo and X.Z. Liu, First order impulsive integro-differential equations on unbounded domain in a Banach space, Dynamics of Continuous, Discrete and Impulsive Systems 2, 381-394, (1996).
    • (1996) Dynamics of Continuous, Discrete and Impulsive Systems , vol.2 , pp. 381-394
    • Guo, D.1    Liu, X.Z.2
  • 16
    • 84968496845 scopus 로고
    • Abstract evolution equations
    • J.A. Goldstein, Abstract evolution equations, Tran. Amer. Math. Soc. 141, 159-185, (1969).
    • (1969) Tran. Amer. Math. Soc. , vol.141 , pp. 159-185
    • Goldstein, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.