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Volumn 839, Issue , 2006, Pages 260-264

An anticipatory extension of malthusian model

Author keywords

Piecewise constant argument; Stability; Strong anticipation; The malthusian model

Indexed keywords


EID: 33846029504     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2216634     Document Type: Conference Paper
Times cited : (25)

References (18)
  • 1
    • 10644269276 scopus 로고    scopus 로고
    • Existence and stability of almost-periodic solutions of quasi-linear differential equations with deviating argument
    • M.U. Akhmet, Existence and stability of almost-periodic solutions of quasi-linear differential equations with deviating argument, Applied Mathematics Letters 17 (2004), 1177-1181.
    • (2004) Applied Mathematics Letters , vol.17 , pp. 1177-1181
    • Akhmet, M.U.1
  • 2
    • 33751002985 scopus 로고    scopus 로고
    • Integral manifolds of differential equations with piecewise constant argument of generalized type
    • accepted
    • M.U. Akhmet, Integral manifolds of differential equations with piecewise constant argument of generalized type, Nonlinear Analysis: Theory, Methods and Applications, (accepted)
    • Nonlinear Analysis: Theory, Methods and Applications
    • Akhmet, M.U.1
  • 3
    • 0003198862 scopus 로고
    • Vertically transmitted diseases, models and dynamics
    • Springer-Verlag, Berlin
    • S. Busenberg and K. Cooke, "Vertically transmitted diseases, models and dynamics. Biomathematics, 23, "Springer-Verlag, Berlin, 1993.
    • (1993) Biomathematics , vol.23
    • Busenberg, S.1    Cooke, K.2
  • 4
    • 0008402812 scopus 로고
    • Retarded differential equations with piecewise constant delays
    • K.L. Cooke and J. Wiener, Retarded differential equations with piecewise constant delays, J. Math. Anal. Appl. 99 (1984) 265-297.
    • (1984) J. Math. Anal. Appl , vol.99 , pp. 265-297
    • Cooke, K.L.1    Wiener, J.2
  • 5
    • 33846000785 scopus 로고    scopus 로고
    • Some remarks on functional equations with advanced-delayed operators
    • Liège, Belgium, 11-16 August, American Institute of Physics, New York
    • C. Corduneanu, Some remarks on functional equations with advanced-delayed operators, Computing Anticipatory Systems, CASYS'03- Sixth International Conference, Liège, Belgium, 11-16 August 2003, American Institute of Physics, New York, 2004.
    • (2003) Computing Anticipatory Systems, CASYS'03- Sixth International Conference
    • Corduneanu, C.1
  • 6
    • 23144459564 scopus 로고    scopus 로고
    • D.M. Dubois, Mathematical foundations of discrete and functional systems with strong and weak anticipations, in: Anticipatory Behavior in Adaptive Learning Systems, State-of-the-Art Survey, edited by M. Butz et al., Lecture Notes in Artificial Intelligence, Springer, LNAI2684, pp. 110-132, 2003.
    • D.M. Dubois, Mathematical foundations of discrete and functional systems with strong and weak anticipations, in: Anticipatory Behavior in Adaptive Learning Systems, State-of-the-Art Survey, edited by M. Butz et al., Lecture Notes in Artificial Intelligence, Springer, LNAI2684, pp. 110-132, 2003.
  • 7
    • 33846022123 scopus 로고    scopus 로고
    • D.M. Dubois, Theory of Computing Anticipatory Systems Based on Differential Delayed-Advanced Difference Equations. Computing Anticipatory Systems: CASYS 2001 - Fifth International Conference, edited by D.M. Dubois, published by The American Institute of Physics, AIP Conference Proceedings 627, pp. 3-16, 2002.
    • D.M. Dubois, Theory of Computing Anticipatory Systems Based on Differential Delayed-Advanced Difference Equations. Computing Anticipatory Systems: CASYS 2001 - Fifth International Conference, edited by D.M. Dubois, published by The American Institute of Physics, AIP Conference Proceedings 627, pp. 3-16, 2002.
  • 8
    • 0014870814 scopus 로고    scopus 로고
    • L. Euler, A general investigation into the mortality and multiplication of the human species, Theor. Popl. Biol. 1 (1970) 307-314 (reprinted from: L. Euler, Recherches générales sur la mortalité et la multiplication du genre humain, Histoire de 1' Académie Royale des Sciences et Belles-Lettres, année 1760, pp. 144-164, Berlin, 1767.)
    • L. Euler, A general investigation into the mortality and multiplication of the human species, Theor. Popl. Biol. 1 (1970) 307-314 (reprinted from: L. Euler, "Recherches générales sur la mortalité et la multiplication du genre humain", Histoire de 1' Académie Royale des Sciences et Belles-Lettres, année 1760, pp. 144-164, Berlin, 1767.)
  • 12
    • 0004269732 scopus 로고
    • An Essay on the Principal of Population, Penguin books
    • originally published in
    • T.R. Malthus, An Essay on the Principal of Population, Penguin books, 1970; originally published in 1798.
    • (1798)
    • Malthus, T.R.1
  • 13
    • 34548351501 scopus 로고    scopus 로고
    • Mathematical Biology
    • Springer-Verlag, Berlin, Heidelberg
    • J.D. Murray, Mathematical Biology, I: An Introduction, Springer-Verlag, Berlin, Heidelberg, 2002.
    • (2002) An Introduction
    • Murray, J.D.1
  • 17
    • 0002099636 scopus 로고
    • On an interval map associated with a delay logistic equation with discontinuous delays
    • Delay differential equations and dynamical systems, Springer, Berlin
    • G. Seifert, On an interval map associated with a delay logistic equation with discontinuous delays, in: Delay differential equations and dynamical systems, 243-249, Lecture Notes in Math., 1475, Springer, Berlin, 1991.
    • (1991) Lecture Notes in Math , vol.1475 , pp. 243-249
    • Seifert, G.1
  • 18
    • 33846023503 scopus 로고    scopus 로고
    • P.-F. Verhulst, Notice sur la loi que la population suit dans son accroissement, Corr. Math. et Phys. 10 (1838) 113-121.
    • P.-F. Verhulst, Notice sur la loi que la population suit dans son accroissement, Corr. Math. et Phys. 10 (1838) 113-121.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.