메뉴 건너뛰기




Volumn 198, Issue 2, 2008, Pages 865-876

Hopf bifurcation and stability of periodic solutions in a delayed eco-epidemiological system

Author keywords

Eco epidemiological system; Hopf bifurcation; Periodic solution; Stability; Time delay

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; HOPF BIFURCATION; LINEAR EQUATIONS; PARAMETER ESTIMATION;

EID: 40849115174     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.09.045     Document Type: Article
Times cited : (46)

References (21)
  • 1
    • 0033149514 scopus 로고    scopus 로고
    • A predator-prey model with disease in the prey
    • Chattopadhyay J., and Arino O. A predator-prey model with disease in the prey. Nonlinear Anal. TMA 36 (1999) 747-766
    • (1999) Nonlinear Anal. TMA , vol.36 , pp. 747-766
    • Chattopadhyay, J.1    Arino, O.2
  • 2
    • 0035050183 scopus 로고    scopus 로고
    • Global stability of an SEIS epidemic model with recruitment and a varying total population size
    • Fan M., Li M., and Wang K. Global stability of an SEIS epidemic model with recruitment and a varying total population size. Math. Biosci. 170 (2001) 199-208
    • (2001) Math. Biosci. , vol.170 , pp. 199-208
    • Fan, M.1    Li, M.2    Wang, K.3
  • 3
    • 19144373479 scopus 로고    scopus 로고
    • Dynamic complexities in a seasonal prevention epidemic model with birth pulses
    • Gao S., Chen L., and Sun L. Dynamic complexities in a seasonal prevention epidemic model with birth pulses. Chaos Soliton Fract. 26 (2005) 1171-1181
    • (2005) Chaos Soliton Fract. , vol.26 , pp. 1171-1181
    • Gao, S.1    Chen, L.2    Sun, L.3
  • 5
    • 1542634927 scopus 로고    scopus 로고
    • Periodic solution of a delayed predator-prey system with Michaelis-Menten type functional response
    • Huo H.F., and Li W.T. Periodic solution of a delayed predator-prey system with Michaelis-Menten type functional response. J. Comput. Appl. Math. 166 (2004) 453-463
    • (2004) J. Comput. Appl. Math. , vol.166 , pp. 453-463
    • Huo, H.F.1    Li, W.T.2
  • 7
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • Kermack W.O., and McKendrick A.G. A contribution to the mathematical theory of epidemics. Proc. Roy. Soc. Lond. A 115 (1927) 700-721
    • (1927) Proc. Roy. Soc. Lond. A , vol.115 , pp. 700-721
    • Kermack, W.O.1    McKendrick, A.G.2
  • 9
    • 0032812296 scopus 로고    scopus 로고
    • Global dynamics of a SEIR model with varying total population size
    • Li M., Graef J.R., Wang L., and Karsai J. Global dynamics of a SEIR model with varying total population size. Math. Biosci. 160 (1999) 191-213
    • (1999) Math. Biosci. , vol.160 , pp. 191-213
    • Li, M.1    Graef, J.R.2    Wang, L.3    Karsai, J.4
  • 10
    • 18644369681 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solutions of functional differential equations with feedback control
    • Li W.T., and Wang L.L. Existence and global attractivity of positive periodic solutions of functional differential equations with feedback control. J. Comput. Appl. Math. 180 (2005) 293-309
    • (2005) J. Comput. Appl. Math. , vol.180 , pp. 293-309
    • Li, W.T.1    Wang, L.L.2
  • 11
    • 28944433870 scopus 로고    scopus 로고
    • Stability analysis of a stochastic model for prey-predator system with disease in the prey
    • Mukherjee D. Stability analysis of a stochastic model for prey-predator system with disease in the prey. Nonlinear Anal.: Modell. Contr. 8 (2003) 83-92
    • (2003) Nonlinear Anal.: Modell. Contr. , vol.8 , pp. 83-92
    • Mukherjee, D.1
  • 12
    • 0037429355 scopus 로고    scopus 로고
    • Dynamical behavior of an epidemic model with a nonlinear incidence rate
    • Ruan S., and Wang W. Dynamical behavior of an epidemic model with a nonlinear incidence rate. J. Diff. Eq. 188 (2003) 135-163
    • (2003) J. Diff. Eq. , vol.188 , pp. 135-163
    • Ruan, S.1    Wang, W.2
  • 13
    • 33646146409 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation for an epidemic disease model with delay
    • Sun C., Lin Y., and Han M. Stability and Hopf bifurcation for an epidemic disease model with delay. Chaos Soliton Fract. 30 (2006) 204-216
    • (2006) Chaos Soliton Fract. , vol.30 , pp. 204-216
    • Sun, C.1    Lin, Y.2    Han, M.3
  • 14
    • 40849114186 scopus 로고    scopus 로고
    • On the analysis of predator-prey model with epidemic in the predator
    • Sun S., and Yuan C. On the analysis of predator-prey model with epidemic in the predator. J. Biomath. 21 (2006) 97-104
    • (2006) J. Biomath. , vol.21 , pp. 97-104
    • Sun, S.1    Yuan, C.2
  • 15
    • 12244261643 scopus 로고    scopus 로고
    • Stability and hopf bifurcation analysis on a simplified BAM neural network with delays
    • Song Y., Han M., and Wei J. Stability and hopf bifurcation analysis on a simplified BAM neural network with delays. Physica D 200 (2005) 185-204
    • (2005) Physica D , vol.200 , pp. 185-204
    • Song, Y.1    Han, M.2    Wei, J.3
  • 16
    • 31644446271 scopus 로고    scopus 로고
    • Multiple bifurcations in a predator-prey system with monotonic functional response
    • Wang L.L., Fan Y.H., and Li W.T. Multiple bifurcations in a predator-prey system with monotonic functional response. Appl. Math. Comput. 172 (2006) 1103-1120
    • (2006) Appl. Math. Comput. , vol.172 , pp. 1103-1120
    • Wang, L.L.1    Fan, Y.H.2    Li, W.T.3
  • 17
    • 0035877557 scopus 로고    scopus 로고
    • Analysis of a three species eco-epidemiological model
    • Xiao Y., and Chen L. Analysis of a three species eco-epidemiological model. J. Math. Anal. Appl. 258 (2001) 733-754
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 733-754
    • Xiao, Y.1    Chen, L.2
  • 18
    • 18444371144 scopus 로고    scopus 로고
    • Hopf bifurcation and stability of periodic solutions for Van der Pol equation with time delay
    • Yu W., and Cao J. Hopf bifurcation and stability of periodic solutions for Van der Pol equation with time delay. Nonlinear Anal. TMA 62 (2005) 141-165
    • (2005) Nonlinear Anal. TMA , vol.62 , pp. 141-165
    • Yu, W.1    Cao, J.2
  • 19
    • 33847324896 scopus 로고    scopus 로고
    • Bifurcation and global periodic solutions in a delayed facultative mutualism system
    • Yan X.P., and Li W.T. Bifurcation and global periodic solutions in a delayed facultative mutualism system. Physica D 227 (2007) 51-69
    • (2007) Physica D , vol.227 , pp. 51-69
    • Yan, X.P.1    Li, W.T.2
  • 20
    • 33744545227 scopus 로고    scopus 로고
    • Hopf bifurcation and global periodic solutions in a delayed predator-prey system
    • Yan X.P., and Li W.T. Hopf bifurcation and global periodic solutions in a delayed predator-prey system. Appl. Math. Comput. 177 (2006) 427-445
    • (2006) Appl. Math. Comput. , vol.177 , pp. 427-445
    • Yan, X.P.1    Li, W.T.2
  • 21
    • 0042828944 scopus 로고    scopus 로고
    • Global dynamics of an SEIR epidemic model with saturating contact rate
    • Zhang J., and Ma Z. Global dynamics of an SEIR epidemic model with saturating contact rate. Math. Biosci. 185 (2003) 15-32
    • (2003) Math. Biosci. , vol.185 , pp. 15-32
    • Zhang, J.1    Ma, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.