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Volumn 2012, Issue , 2012, Pages

Almost periodic dynamics of a discrete Nicholson's blowflies model involving a linear harvesting term Difference equations: New trends and applications in biology, medicine and biotechnology

Author keywords

almost periodic solution; exponential stability; harvesting term; Nicholson's blowflies model

Indexed keywords


EID: 84873328419     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1186/1687-1847-2012-158     Document Type: Article
Times cited : (27)

References (28)
  • 1
    • 0002702117 scopus 로고
    • Nicholson's blowflies (revisited)
    • 10.1038/287017a0
    • Gurney WS, Blythe SP, Nisbet RM: Nicholson's blowflies (revisited). Nature 1980, 287:17-21.
    • (1980) Nature , vol.287 , pp. 17-21
    • Gurney, W.S.1    Blythe, S.P.2    Nisbet, R.M.3
  • 2
    • 84970556051 scopus 로고
    • An outline of the dynamics of animal populations
    • 10.1071/ZO9540009
    • Nicholson AJ: An outline of the dynamics of animal populations. Aust. J. Zool. 1954, 2:9-25.
    • (1954) Aust. J. Zool , vol.2 , pp. 9-25
    • Nicholson, A.J.1
  • 3
    • 0003109294 scopus 로고
    • Oscillation and global attractivity in the discrete model of Nicholson's blowflies
    • 1116173 0715.39003 10.1080/00036819008839952
    • Kocic VL, Ladas G: Oscillation and global attractivity in the discrete model of Nicholson's blowflies. Appl. Anal. 1990, 38:21-31.
    • (1990) Appl. Anal , vol.38 , pp. 21-31
    • Kocic, V.L.1    Ladas, G.2
  • 4
    • 0024901514 scopus 로고
    • Global attractivity in Nicholson's blowflies
    • 1021318 0686.92019 10.1016/0898-1221(89)90010-2
    • Kulenovic MRS, Ladas G, Sficas YS: Global attractivity in Nicholson's blowflies. Comput. Math. Appl. 1989, 18:925-928.
    • (1989) Comput. Math. Appl , vol.18 , pp. 925-928
    • Kulenovic, M.R.S.1    Ladas, G.2    Sficas, Y.S.3
  • 5
    • 51249096963 scopus 로고    scopus 로고
    • Existence of positive periodic solutions for a generalized Nicholson's blowflies model
    • 2458766 1147.92031 10.1016/j.cam.2007.10.049
    • Li J, Du C: Existence of positive periodic solutions for a generalized Nicholson's blowflies model. J. Comput. Appl. Math. 2008,221(1):226-233.
    • (2008) J. Comput. Appl. Math , vol.221 , Issue.1 , pp. 226-233
    • Li, J.1    Du, C.2
  • 6
    • 33846155883 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model
    • DOI 10.1016/j.cam.2006.02.001, PII S0377042706000781
    • Li W, Fan Y: Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model. J. Comput. Appl. Math. 2007,201(1):55-68. (Pubitemid 46084978)
    • (2007) Journal of Computational and Applied Mathematics , vol.201 , Issue.1 , pp. 55-68
    • Li, W.-T.1    Fan, Y.-H.2
  • 7
    • 12244312783 scopus 로고    scopus 로고
    • Hopf bifurcation analysis in a delayed Nicholson blowflies equation
    • DOI 10.1016/j.na.2003.04.002, PII S0362546X04005255
    • Wei J, Li MY: Hopf bifurcation analysis in a delayed Nicholson blowflies equation. Nonlinear Anal. 2005,60(7):1351-1367. (Pubitemid 40114281)
    • (2005) Nonlinear Analysis, Theory, Methods and Applications , vol.60 , Issue.7 , pp. 1351-1367
    • Wei, J.1    Li, M.Y.2
  • 8
    • 0037177280 scopus 로고    scopus 로고
    • Oscillation and global attractivity in a periodic Nicholson's blowflies model
    • PII S0895717702000432
    • Saker SH, Agarwal S: Oscillation and global attractivity in a periodic Nicholson's blowflies model. Math. Comput. Model. 2002, 35:719-731. (Pubitemid 34431997)
    • (2002) Mathematical and Computer Modelling , vol.35 , Issue.7-8 , pp. 719-731
    • Saker, S.H.1    Agarwal, S.2
  • 9
    • 12244292151 scopus 로고    scopus 로고
    • A note on the global attractivity of a discrete model of Nicholson's blowflies
    • 0962.39011 10.1155/S1026022699000072
    • Zhang BG, Xu HX: A note on the global attractivity of a discrete model of Nicholson's blowflies. Discrete Dyn. Nat. Soc. 1999, 3:51-55.
    • (1999) Discrete Dyn. Nat. Soc , vol.3 , pp. 51-55
    • Zhang, B.G.1    Xu, H.X.2
  • 10
    • 0001395235 scopus 로고
    • On the stability and uniform persistence of a discrete model of Nicholson's blowflies
    • 1338509 0834.39009 10.1006/jmaa.1995.1231
    • So JWH, Yu JS: On the stability and uniform persistence of a discrete model of Nicholson's blowflies. J. Math. Anal. Appl. 1995,193(1):233-244.
    • (1995) J. Math. Anal. Appl , vol.193 , Issue.1 , pp. 233-244
    • So, J.W.H.1    Yu, J.S.2
  • 11
    • 0001219328 scopus 로고    scopus 로고
    • Dirichlet problem for the diffusive nicholson's blowflies equation
    • DOI 10.1006/jdeq.1998.3489, PII S0022039698934891
    • So JWH, Yang Y: Dirichlet problem for the diffusive Nicholson's blowflies equation. J. Differ. Equ. 1998,150(2):317-348. (Pubitemid 128345992)
    • (1998) Journal of Differential Equations , vol.150 , Issue.2 , pp. 317-348
    • So, J.W.-H.1    Yang, Y.2
  • 13
    • 0347948008 scopus 로고    scopus 로고
    • Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation
    • 1745907 10.1016/S0096-3003(99)00047-8
    • So JWH, Wu J, Yang Y: Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation. Appl. Math. Comput. 2000,111(1):53-69.
    • (2000) Appl. Math. Comput , vol.111 , Issue.1 , pp. 53-69
    • So, J.W.H.1    Wu, J.2    Yang, Y.3
  • 14
    • 24944511236 scopus 로고    scopus 로고
    • Oscillation of continuous and discrete diffusive delay Nicholson's blowflies models
    • DOI 10.1016/j.amc.2004.06.083, PII S0096300304004837
    • Saker SH: Oscillation of continuous and discrete diffusive delay Nicholson's blowflies models. Appl. Math. Comput. 2005,167(1):179-197. (Pubitemid 41316322)
    • (2005) Applied Mathematics and Computation , vol.167 , Issue.1 , pp. 179-197
    • Saker, S.H.1
  • 15
    • 0037195987 scopus 로고    scopus 로고
    • Oscillation in a discrete partial delay Nicholson's blowflies model
    • PII S0895717702002558
    • Saker SH, Zhang BG: Oscillation in a discrete partial delay Nicholson's blowflies model. Math. Comput. Model. 2002,36(9-10):1021-1026. (Pubitemid 35464702)
    • (2002) Mathematical and Computer Modelling , vol.36 , Issue.9-10 , pp. 1021-1026
    • Saker, S.H.1    Zhang, B.G.2
  • 16
    • 24944511236 scopus 로고    scopus 로고
    • Oscillation of continuous and discrete diffusive delay Nicholson's blowflies models
    • DOI 10.1016/j.amc.2004.06.083, PII S0096300304004837
    • Saker SH: Oscillation of continuous and discrete diffusive delay Nicholson's blowflies models. Appl. Math. Comput. 2005,167(1):179-197. (Pubitemid 41316322)
    • (2005) Applied Mathematics and Computation , vol.167 , Issue.1 , pp. 179-197
    • Saker, S.H.1
  • 17
    • 53349160548 scopus 로고    scopus 로고
    • Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case
    • 2460028 1152.35511 10.1016/j.jde.2008.03.007
    • Yi T, Zou X: Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: a non-monotone case. J. Differ. Equ. 2008,245(11):3376-3388.
    • (2008) J. Differ. Equ , vol.245 , Issue.11 , pp. 3376-3388
    • Yi, T.1    Zou, X.2
  • 18
    • 77649189029 scopus 로고    scopus 로고
    • Almost periodic solutions for impulsive delay Nicholson's blowflies population model
    • 2601297 1196.34095 10.1016/j.cam.2009.12.019
    • Alzabut JO: Almost periodic solutions for impulsive delay Nicholson's blowflies population model. J. Comput. Appl. Math. 2010, 234:233-239.
    • (2010) J. Comput. Appl. Math , vol.234 , pp. 233-239
    • Alzabut, J.O.1
  • 19
    • 2942649902 scopus 로고    scopus 로고
    • Optimal harvesting and stability for a predator-prey system with stage structure
    • 2010921 1054.34125 10.1007/s102550200042
    • Song XY, Chen LS: Optimal harvesting and stability for a predator-prey system with stage structure. Acta Math. Appl., Engl. Ser. 2002,18(3):423-430.
    • (2002) Acta Math. Appl., Engl. ser , vol.18 , Issue.3 , pp. 423-430
    • Song, X.Y.1    Chen, L.S.2
  • 20
    • 18144413144 scopus 로고    scopus 로고
    • Delay differential logistic equation with harvesting
    • DOI 10.1016/j.mcm.2005.01.008, PII S0895717705000087
    • Berezansky L, Braverman E, Idels L: Delay differential logistic equations with harvesting. Math. Comput. Model. 2004, 40:1509-1525. (Pubitemid 40607892)
    • (2004) Mathematical and Computer Modelling , vol.40 , Issue.13 , pp. 1509-1525
    • Berezansky, L.1    Braverman, E.2    Idels, L.3
  • 21
    • 75449085144 scopus 로고    scopus 로고
    • Nicholson's blowflies differential equations revisited: Main results and open problems
    • 2592579 1193.34149 10.1016/j.apm.2009.08.027
    • Berezansky L, Braverman E, Idels L: Nicholson's blowflies differential equations revisited: main results and open problems. Appl. Math. Model. 2010, 34:1405-1417.
    • (2010) Appl. Math. Model , vol.34 , pp. 1405-1417
    • Berezansky, L.1    Braverman, E.2    Idels, L.3
  • 22
    • 80054930666 scopus 로고    scopus 로고
    • Positive almost periodic solution for a class of Nicholson's blowflies model with a linear harvesting term
    • 2846873 1238.34131 10.1016/j.nonrwa.2011.08.009
    • Long F: Positive almost periodic solution for a class of Nicholson's blowflies model with a linear harvesting term. Nonlinear Anal. 2012,13(2):686-693.
    • (2012) Nonlinear Anal , vol.13 , Issue.2 , pp. 686-693
    • Long, F.1
  • 23
    • 79958864829 scopus 로고    scopus 로고
    • Positive periodic solutions of delayed Nicholson's blowflies model with a linear harvesting term
    • 2011 Article ID 41
    • Long F, Yang M: Positive periodic solutions of delayed Nicholson's blowflies model with a linear harvesting term. Electron. J. Qual. Theory Differ. Equ. 2011., 2011: Article ID 41
    • (2011) Electron. J. Qual. Theory Differ. Equ
    • Long, F.1    Yang, M.2
  • 24
    • 84858335236 scopus 로고    scopus 로고
    • On positive solution for the delay Nicholson's blowflies model with a harvesting term
    • 2910623 06114184 10.1016/j.apm.2011.10.011
    • Zhao W, Zhu C, Zhu H: On positive solution for the delay Nicholson's blowflies model with a harvesting term. Appl. Math. Model. 2012,36(7):3335-3340.
    • (2012) Appl. Math. Model , vol.36 , Issue.7 , pp. 3335-3340
    • Zhao, W.1    Zhu, C.2    Zhu, H.3
  • 25
    • 84858341966 scopus 로고    scopus 로고
    • The positive almost periodic solution for Nicholson-type delay systems with linear harvesting terms
    • 2910618 06114179 10.1016/j.apm.2011.09.087
    • Liu X, Meng J: The positive almost periodic solution for Nicholson-type delay systems with linear harvesting terms. Appl. Math. Model. 2012,36(7):3289-3298.
    • (2012) Appl. Math. Model , vol.36 , Issue.7 , pp. 3289-3298
    • Liu, X.1    Meng, J.2
  • 26
    • 80052651403 scopus 로고    scopus 로고
    • Almost functions on time scale and applications
    • 2011 Article ID 727068
    • Li Y, Wang C: Almost functions on time scale and applications. Discrete Dyn. Nat. Soc. 2011., 2011: Article ID 727068
    • (2011) Discrete Dyn. Nat. Soc
    • Li, Y.1    Wang, C.2
  • 28
    • 0031124171 scopus 로고    scopus 로고
    • A predator-prey system with stage structure for predator
    • 1448315 10.1016/S0898-1221(97)00056-4
    • Wang WD, Chen LS: A predator-prey system with stage structure for predator. Comput. Math. Appl. 1997,33(8):83-91.
    • (1997) Comput. Math. Appl , vol.33 , Issue.8 , pp. 83-91
    • Wang, W.D.1    Chen, L.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.