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Volumn 52, Issue 3-4, 2010, Pages 515-521

Periodic solution of single population models on time scales

Author keywords

Coincidence degree theory; Logistic equations; Periodic solutions; Time scales

Indexed keywords

COINCIDENCE DEGREE THEORY; DYNAMICAL EQUATION; LOGISTIC EQUATIONS; ON TIME; PERIODIC SOLUTION; POPULATION MODEL; TIME-SCALES;

EID: 77954863399     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2010.03.048     Document Type: Article
Times cited : (18)

References (18)
  • 1
    • 77954864230 scopus 로고    scopus 로고
    • Modeling nature: Episodes in the History of Population Ecology, 2nd edition, University of Chicago Press, Chicago, IL.
    • S.E. Kingsland, Modeling nature: Episodes in the History of Population Ecology, 2nd edition, University of Chicago Press, Chicago, IL.
    • Kingsland, S.E.1
  • 5
    • 84951604495 scopus 로고
    • Analysis on measure chains - a unified approach to continuous and discrete calculus
    • Hilger S. Analysis on measure chains - a unified approach to continuous and discrete calculus. Results Math. 1990, 18:18-56.
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 6
    • 2642587972 scopus 로고    scopus 로고
    • Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
    • Fan M., Wang K. Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system. Math. Comput. Model. 2002, 35:951-961.
    • (2002) Math. Comput. Model. , vol.35 , pp. 951-961
    • Fan, M.1    Wang, K.2
  • 7
    • 0038011118 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solution for a class of delay differential equations (in Chinese)
    • Li Y.K. Existence and global attractivity of positive periodic solution for a class of delay differential equations (in Chinese). Sci. China Ser. A. 1998, 28:108-118.
    • (1998) Sci. China Ser. A. , vol.28 , pp. 108-118
    • Li, Y.K.1
  • 8
    • 0037732722 scopus 로고    scopus 로고
    • Existence of positive periodic solutions for a class of difference equations with several deviating arguments
    • Jiang D.Q., Agarwal R.P. Existence of positive periodic solutions for a class of difference equations with several deviating arguments. Comput. Math. Appl. 2003, 45:1303-1309.
    • (2003) Comput. Math. Appl. , vol.45 , pp. 1303-1309
    • Jiang, D.Q.1    Agarwal, R.P.2
  • 9
    • 0348229005 scopus 로고    scopus 로고
    • Understanding the role of environmental variation in population and community dynamics
    • Chesson P. Understanding the role of environmental variation in population and community dynamics. Theor. Popul. Biol. 2003, 64:253-254.
    • (2003) Theor. Popul. Biol. , vol.64 , pp. 253-254
    • Chesson, P.1
  • 10
    • 33745116193 scopus 로고    scopus 로고
    • Existence of periodic solutions in predator-prey and competition dynamic systems
    • Bohner M., Fan M., Zhang J.M. Existence of periodic solutions in predator-prey and competition dynamic systems. Nonlinear Anal. Real World. Appl. 2006, 7:1193-1204.
    • (2006) Nonlinear Anal. Real World. Appl. , vol.7 , pp. 1193-1204
    • Bohner, M.1    Fan, M.2    Zhang, J.M.3
  • 11
    • 33846910880 scopus 로고    scopus 로고
    • Periodicity of scalar dynamic equations and applications to population models
    • Bohner M., Fan M., Zhang J.M. Periodicity of scalar dynamic equations and applications to population models. J. Math. Anal. Appl. 2007, 330:1-9.
    • (2007) J. Math. Anal. Appl. , vol.330 , pp. 1-9
    • Bohner, M.1    Fan, M.2    Zhang, J.M.3
  • 12
    • 0003225449 scopus 로고
    • Coincidence Degree, and Nonlinear Differential Equations
    • Springer-Verlag, Berlin, Heidelberg, NY
    • Gaines R.E., Mawhin J.L. Coincidence Degree, and Nonlinear Differential Equations. Lecture Notes in Mathematics 1977, vol. 568. Springer-Verlag, Berlin, Heidelberg, NY.
    • (1977) Lecture Notes in Mathematics , vol.568
    • Gaines, R.E.1    Mawhin, J.L.2
  • 13
    • 0012105336 scopus 로고
    • Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation
    • Gopalsamy K., Lalli S.B. Oscillatory and asymptotic behaviour of a multiplicative delay logistic equation. Dynam. Stab. Syst. 1992, 7:35-42.
    • (1992) Dynam. Stab. Syst. , vol.7 , pp. 35-42
    • Gopalsamy, K.1    Lalli, S.B.2
  • 14
    • 0001828205 scopus 로고
    • Global attractivity in the delay logistic equation
    • Zhang B.G., Gopalsamy K. Global attractivity in the delay logistic equation. J. Math. Anal. Appl. 1990, 150:274-283.
    • (1990) J. Math. Anal. Appl. , vol.150 , pp. 274-283
    • Zhang, B.G.1    Gopalsamy, K.2
  • 15
    • 0000322377 scopus 로고
    • Global stability for a class of nonlinear nonautonomous delay logistic equations
    • Kuang Y. Global stability for a class of nonlinear nonautonomous delay logistic equations. Nonlinear Anal. TMA 1991, 17:627-634.
    • (1991) Nonlinear Anal. TMA , vol.17 , pp. 627-634
    • Kuang, Y.1
  • 16
    • 0036170039 scopus 로고    scopus 로고
    • Oscillation and stability in nonlinear delay differential equations of population dynamics
    • Kubiaczyk I., Saker S.H. Oscillation and stability in nonlinear delay differential equations of population dynamics. Math. Comput. Model. 2002, 35:295-301.
    • (2002) Math. Comput. Model. , vol.35 , pp. 295-301
    • Kubiaczyk, I.1    Saker, S.H.2
  • 17
    • 4444360401 scopus 로고    scopus 로고
    • Periodicity in a class of nonautonomous scalar equations with deviating arguments and applications to population models
    • Fan M., Ye D., Wong P.J.Y., Agarwal R.P. Periodicity in a class of nonautonomous scalar equations with deviating arguments and applications to population models. Dynam. Syst. 2004, 19:279-301.
    • (2004) Dynam. Syst. , vol.19 , pp. 279-301
    • Fan, M.1    Ye, D.2    Wong, P.J.Y.3    Agarwal, R.P.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.