메뉴 건너뛰기




Volumn 2014, Issue , 2014, Pages

Time delayed stage-structured predator-prey model with birth pulse and pest control tactics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84899943656     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2014/935923     Document Type: Article
Times cited : (2)

References (25)
  • 1
    • 33845634818 scopus 로고    scopus 로고
    • Modelling and analysis of a prey-predator system with stage-structure and harvesting
    • DOI 10.1016/j.nonrwa.2006.01.004, PII S1468121806000071
    • Kar T. K., Pahari U. K., Modelling and analysis of a prey-predator system with stage-structure and harvesting. Nonlinear Analysis: Real World Applications 2007 8 2 601 609 10.1016/j.nonrwa.2006.01.004 MR2289572 ZBL1152.34374 (Pubitemid 44940915)
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , Issue.2 , pp. 601-609
    • Kar, T.K.1    Pahari, U.K.2
  • 2
    • 45849121404 scopus 로고    scopus 로고
    • The dynamical complexity of a Ivlev-type prey-predator system with impulsive effect
    • 10.1016/j.chaos.2007.02.008 MR2435610 ZBL1152.34310
    • Wang H., Wang W., The dynamical complexity of a Ivlev-type prey-predator system with impulsive effect. Chaos, Solitons & Fractals 2008 38 4 1168 1176 10.1016/j.chaos.2007.02.008 MR2435610 ZBL1152.34310
    • (2008) Chaos, Solitons & Fractals , vol.38 , Issue.4 , pp. 1168-1176
    • Wang, H.1    Wang, W.2
  • 3
    • 67349248565 scopus 로고    scopus 로고
    • Dynamics of a Ivlev-type predator-prey system with constant rate harvesting
    • 10.1016/j.chaos.2008.08.024 MR2537793 ZBL1198.34061
    • Ling L., Wang W., Dynamics of a Ivlev-type predator-prey system with constant rate harvesting. Chaos, Solitons and Fractals 2009 41 4 2139 2153 10.1016/j.chaos.2008.08.024 MR2537793 ZBL1198.34061
    • (2009) Chaos, Solitons and Fractals , vol.41 , Issue.4 , pp. 2139-2153
    • Ling, L.1    Wang, W.2
  • 4
    • 69249232274 scopus 로고    scopus 로고
    • Permanence and global stability of positive periodic solutions of a discrete competitive system
    • 830537 10.1155/2009/830537 MR2520423 ZBL1178.39027
    • Qin W., Liu Z., Chen Y., Permanence and global stability of positive periodic solutions of a discrete competitive system. Discrete Dynamics in Nature and Society 2009 2009 13 830537 10.1155/2009/830537 MR2520423 ZBL1178.39027
    • (2009) Discrete Dynamics in Nature and Society , vol.2009 , pp. 13
    • Qin, W.1    Liu, Z.2    Chen, Y.3
  • 5
    • 77955772104 scopus 로고    scopus 로고
    • Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches
    • 10.1016/j.nonrwa.2009.09.022 MR2661941 ZBL1204.34108
    • Jiao J., Chen L., Cai S., Wang L., Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches. Nonlinear Analysis: Real World Applications 2010 11 4 2748 2756 10.1016/j.nonrwa.2009.09.022 MR2661941 ZBL1204.34108
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , Issue.4 , pp. 2748-2756
    • Jiao, J.1    Chen, L.2    Cai, S.3    Wang, L.4
  • 6
    • 34249110754 scopus 로고    scopus 로고
    • A stage-structured Holling mass defence predator-prey model with impulsive perturbations on predators
    • DOI 10.1016/j.amc.2006.12.043, PII S0096300306017310
    • Jiao J., Meng X., Chen L., A stage-structured Holling mass defence predator-prey model with impulsive perturbations on predators. Applied Mathematics and Computation 2007 189 2 1448 1458 10.1016/j.amc.2006.12.043 MR2331818 ZBL1117.92053 (Pubitemid 46802761)
    • (2007) Applied Mathematics and Computation , vol.189 , Issue.2 , pp. 1448-1458
    • Jiao, J.1    Meng, X.2    Chen, L.3
  • 7
    • 0031124171 scopus 로고    scopus 로고
    • A predator-prey system with stage-structure for predator
    • PII S0898122197000564
    • Wang W., Chen L., A predator-prey system with stage-structure for predator. Computers & Mathematics with Applications 1997 33 8 83 91 10.1016/S0898-1221(97)00056-4 MR1448315 (Pubitemid 127381336)
    • (1997) Computers and Mathematics with Applications , vol.33 , Issue.8 , pp. 83-91
    • Wang, W.1    Chen, L.2
  • 8
    • 80051824640 scopus 로고    scopus 로고
    • The dynamics of a stage-structured predator-prey system with impulsive effect and Holling mass defence
    • 10.1016/j.apm.2011.05.038 MR2834994 ZBL1236.34106
    • Huang C.-Y., Li Y.-J., Huo H.-F., The dynamics of a stage-structured predator-prey system with impulsive effect and Holling mass defence. Applied Mathematical Modelling 2012 36 1 87 96 10.1016/j.apm.2011.05.038 MR2834994 ZBL1236.34106
    • (2012) Applied Mathematical Modelling , vol.36 , Issue.1 , pp. 87-96
    • Huang, C.-Y.1    Li, Y.-J.2    Huo, H.-F.3
  • 9
    • 33846624830 scopus 로고    scopus 로고
    • Permanence and extinction of a periodic predator-prey delay system with functional response and stage structure for prey
    • DOI 10.1016/j.amc.2006.05.195, PII S0096300306007831
    • Zhang H., Chen L., Zhu R., Permanence and extinction of a periodic predator-prey delay system with functional response and stage structure for prey. Applied Mathematics and Computation 2007 184 2 931 944 10.1016/j.amc.2006.05.195 MR2294961 ZBL1109.92061 (Pubitemid 46176149)
    • (2007) Applied Mathematics and Computation , vol.184 , Issue.2 , pp. 931-944
    • Zhang, H.1    Chen, L.2    Zhu, R.3
  • 10
    • 79451472838 scopus 로고    scopus 로고
    • Analysis of a discrete-time predator-prey system with Allee effect
    • 2-s2.0-79451472838 10.1016/j.ecocom.2010.04.005
    • Wang W.-X., Zhang Y.-B., Liu C.-Z., Analysis of a discrete-time predator-prey system with Allee effect. Ecological Complexity 2011 8 1 81 85 2-s2.0-79451472838 10.1016/j.ecocom.2010.04.005
    • (2011) Ecological Complexity , vol.8 , Issue.1 , pp. 81-85
    • Wang, W.-X.1    Zhang, Y.-B.2    Liu, C.-Z.3
  • 11
    • 70449623990 scopus 로고    scopus 로고
    • Impulsive adult culling of a tropical pest with a stage-structured life cycle
    • 10.1016/j.nonrwa.2009.01.005 MR2571239 ZBL1180.37131
    • Terry A. J., Impulsive adult culling of a tropical pest with a stage-structured life cycle. Nonlinear Analysis: Real World Applications 2010 11 2 645 664 10.1016/j.nonrwa.2009.01.005 MR2571239 ZBL1180.37131
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , Issue.2 , pp. 645-664
    • Terry, A.J.1
  • 12
    • 38649104183 scopus 로고    scopus 로고
    • A new stage structured predator-prey Gomportz model with time delay and impulsive perturbations on the prey
    • DOI 10.1016/j.amc.2007.07.020, PII S0096300307007230
    • Liu K., Meng X., Chen L., A new stage structured predator-prey Gomportz model with time delay and impulsive perturbations on the prey. Applied Mathematics and Computation 2008 196 2 705 719 10.1016/j.amc.2007.07.020 MR2388725 (Pubitemid 351174329)
    • (2008) Applied Mathematics and Computation , vol.196 , Issue.2 , pp. 705-719
    • Liu, K.1    Meng, X.2    Chen, L.3
  • 13
    • 79957498233 scopus 로고    scopus 로고
    • Dynamic behaviour of a delayed predator-prey model with harvesting
    • 10.1016/j.amc.2011.03.126 MR2803972 ZBL1215.92065
    • Kar T. K., Ghorai A., Dynamic behaviour of a delayed predator-prey model with harvesting. Applied Mathematics and Computation 2011 217 22 9085 9104 10.1016/j.amc.2011.03.126 MR2803972 ZBL1215.92065
    • (2011) Applied Mathematics and Computation , vol.217 , Issue.22 , pp. 9085-9104
    • Kar, T.K.1    Ghorai, A.2
  • 14
    • 84878711552 scopus 로고    scopus 로고
    • Stability and bifurcation analysis of a delayed Leslie-Gower predator-prey system with nonmonotonic functional response
    • 10.1155/2013/152459 152459 MR3055860 ZBL1276.34073
    • Jiang J., Song Y., Stability and bifurcation analysis of a delayed Leslie-Gower predator-prey system with nonmonotonic functional response. Abstract and Applied Analysis 2013 2013 19 10.1155/2013/152459 152459 MR3055860 ZBL1276.34073
    • (2013) Abstract and Applied Analysis , vol.2013 , pp. 19
    • Jiang, J.1    Song, Y.2
  • 15
    • 0025132577 scopus 로고
    • A time-delay model of single-species growth with stage structure
    • DOI 10.1016/0025-5564(90)90019-U
    • Aiello W. G., Freedman H. I., A time-delay model of single-species growth with stage structure. Mathematical Biosciences 1990 101 2 139 153 10.1016/0025-5564(90)90019-U MR1071716 ZBL0719.92017 (Pubitemid 20357965)
    • (1990) Mathematical Biosciences , vol.101 , Issue.2 , pp. 139-153
    • Aiello, W.G.1    Freedman, H.I.2
  • 16
    • 0036483349 scopus 로고    scopus 로고
    • Density-dependent birth rate, birth pulses and their population dynamic consequences
    • DOI 10.1007/s002850100121
    • Tang S., Chen L., Density-dependent birth rate, birth pulses and their population dynamic consequences. Journal of Mathematical Biology 2002 44 2 185 199 10.1007/s002850100121 MR1889910 ZBL0990.92033 (Pubitemid 44200139)
    • (2002) Journal of Mathematical Biology , vol.44 , Issue.2 , pp. 185-199
    • Tang, S.1    Chen, L.2
  • 17
    • 84893707688 scopus 로고    scopus 로고
    • A delayed Lotka-Volterra model with birth pulse and impulsive effect at different moment on the prey
    • 10.1016/j.amc.2013.03.129 MR3056727
    • Xiang Z., Long D., Song X., A delayed Lotka-Volterra model with birth pulse and impulsive effect at different moment on the prey. Applied Mathematics and Computation 2013 219 20 10263 10270 10.1016/j.amc.2013.03.129 MR3056727
    • (2013) Applied Mathematics and Computation , vol.219 , Issue.20 , pp. 10263-10270
    • Xiang, Z.1    Long, D.2    Song, X.3
  • 18
    • 3042704738 scopus 로고    scopus 로고
    • The periodic competing Lotka-Volterra model with impulsive effect
    • Liu B., Chen L., The periodic competing Lotka-Volterra model with impulsive effect. Mathematical Medicine and Biology 2004 21 2 129 145 2-s2.0-3042704738 10.1093/imammb/21.2.129 ZBL1055.92056 (Pubitemid 38867856)
    • (2004) Mathematical Medicine and Biology , vol.21 , Issue.2 , pp. 129-145
    • Liu, B.1    Chen, L.2
  • 19
    • 77950917649 scopus 로고    scopus 로고
    • The dynamics of an epidemic model for pest control with impulsive effect
    • 10.1016/j.nonrwa.2009.02.027 MR2646553 ZBL1188.93038
    • Wang L., Chen L., Nieto J. J., The dynamics of an epidemic model for pest control with impulsive effect. Nonlinear Analysis: Real World Applications 2010 11 3 1374 1386 10.1016/j.nonrwa.2009.02.027 MR2646553 ZBL1188.93038
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , Issue.3 , pp. 1374-1386
    • Wang, L.1    Chen, L.2    Nieto, J.J.3
  • 20
    • 67649619205 scopus 로고    scopus 로고
    • Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay
    • 10.1016/j.apm.2009.03.005 MR2541848 ZBL1205.34101
    • Wang X., Song Q., Song X., Analysis of a stage structured predator-prey Gompertz model with disturbing pulse and delay. Applied Mathematical Modelling 2009 33 11 4231 4240 10.1016/j.apm.2009.03.005 MR2541848 ZBL1205.34101
    • (2009) Applied Mathematical Modelling , vol.33 , Issue.11 , pp. 4231-4240
    • Wang, X.1    Song, Q.2    Song, X.3
  • 21
    • 33747887669 scopus 로고    scopus 로고
    • The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects
    • DOI 10.1016/j.jtbi.2006.05.002, PII S0022519306001913
    • Song X., Xiang Z., The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects. Journal of Theoretical Biology 2006 242 3 683 698 10.1016/j.jtbi.2006.05.002 MR2279576 (Pubitemid 44291707)
    • (2006) Journal of Theoretical Biology , vol.242 , Issue.3 , pp. 683-698
    • Song, X.1    Xiang, Z.2
  • 22
    • 34047093805 scopus 로고    scopus 로고
    • Multiple periodic solutions of a delayed stage-structured predator-prey model with non-monotone functional responses
    • DOI 10.1016/j.apm.2006.08.012, PII S0307904X06001909
    • Xia Y., Cao J., Cheng S. S., Multiple periodic solutions of a delayed stage-structured predator-prey model with non-monotone functional responses. Applied Mathematical Modelling 2007 31 9 1947 1959 2-s2.0-34047093805 10.1016/j.apm.2006.08.012 ZBL1167.34342 (Pubitemid 46523722)
    • (2007) Applied Mathematical Modelling , vol.31 , Issue.9 , pp. 1947-1959
    • Xia, Y.1    Cao, J.2    Cheng, S.S.3
  • 23
    • 84865736099 scopus 로고    scopus 로고
    • An impulsive controlled eco-epidemic model with disease in the prey
    • 10.1007/s12190-012-0573-9 MR2965343
    • Liu J., Zhang T., Lu J., An impulsive controlled eco-epidemic model with disease in the prey. Journal of Applied Mathematics and Computing 2012 40 1-2 459 475 10.1007/s12190-012-0573-9 MR2965343
    • (2012) Journal of Applied Mathematics and Computing , vol.40 , Issue.1-2 , pp. 459-475
    • Liu, J.1    Zhang, T.2    Lu, J.3
  • 24
    • 0035051672 scopus 로고    scopus 로고
    • Optimal harvesting and stability for a two-species competitive system with stage structure
    • DOI 10.1016/S0025-5564(00)00068-7, PII S0025556400000687
    • Song X., Chen L., Optimal harvesting and stability for a two-species competitive system with stage structure. Mathematical Biosciences 2001 170 2 173 186 10.1016/S0025-5564(00)00068-7 MR1832710 (Pubitemid 32303991)
    • (2001) Mathematical Biosciences , vol.170 , Issue.2 , pp. 173-186
    • Song, X.1    Chen, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.