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Volumn 202, Issue 2, 2008, Pages 675-687

Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model

Author keywords

Bifurcation; Fixed point argument; Impulsive controls; Nonlinear force of infection; Nontrivial periodic solutions

Indexed keywords

BIFURCATION (MATHEMATICS); PESTICIDES;

EID: 48049111387     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.03.012     Document Type: Article
Times cited : (48)

References (17)
  • 2
    • 0018041874 scopus 로고
    • A generalization of Kermack-McKendrick deterministic epidemic model
    • Capasso V., and Serio G. A generalization of Kermack-McKendrick deterministic epidemic model. Math. Biosci. 42 (1978) 43-61
    • (1978) Math. Biosci. , vol.42 , pp. 43-61
    • Capasso, V.1    Serio, G.2
  • 4
    • 34249790143 scopus 로고    scopus 로고
    • Pest regulation by means of impulsive controls
    • Georgescu P., and Moroşanu G. Pest regulation by means of impulsive controls. Appl. Math. Comput. 190 (2007) 790-803
    • (2007) Appl. Math. Comput. , vol.190 , pp. 790-803
    • Georgescu, P.1    Moroşanu, G.2
  • 5
    • 0025985745 scopus 로고
    • Some epidemiological models with nonlinear incidence
    • Hethcote H.W., and van den Driessche P. Some epidemiological models with nonlinear incidence. J. Math. Biol. 29 (1991) 271-287
    • (1991) J. Math. Biol. , vol.29 , pp. 271-287
    • Hethcote, H.W.1    van den Driessche, P.2
  • 7
    • 33746594608 scopus 로고    scopus 로고
    • Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission
    • Korobeinikov A. Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission. Bull. Math. Biol. 30 (2006) 615-626
    • (2006) Bull. Math. Biol. , vol.30 , pp. 615-626
    • Korobeinikov, A.1
  • 8
    • 25144476559 scopus 로고    scopus 로고
    • Nonlinear incidence and stability of infectious disease models
    • Korobeinikov A., and Maini P.K. Nonlinear incidence and stability of infectious disease models. Math. Med. Biol. 22 (2005) 113-128
    • (2005) Math. Med. Biol. , vol.22 , pp. 113-128
    • Korobeinikov, A.1    Maini, P.K.2
  • 9
    • 0347269498 scopus 로고    scopus 로고
    • Bifurcation of nontrivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment
    • Lakmeche A., and Arino O. Bifurcation of nontrivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Dyn. Continum. Discrete Impul. Syst. Ser. A: Math. Anal. 7 (2000) 265-287
    • (2000) Dyn. Continum. Discrete Impul. Syst. Ser. A: Math. Anal. , vol.7 , pp. 265-287
    • Lakmeche, A.1    Arino, O.2
  • 10
    • 0042834359 scopus 로고    scopus 로고
    • Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors
    • Lakmeche A., and Arino O. Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors. Nonlinear Anal. Real World Appl. 2 (2001) 455-465
    • (2001) Nonlinear Anal. Real World Appl. , vol.2 , pp. 455-465
    • Lakmeche, A.1    Arino, O.2
  • 11
    • 0023070210 scopus 로고
    • Dynamical behavior of epidemiological models with nonlinear incidence rates
    • Liu W.M., Hethcote H.W., and Levin S.A. Dynamical behavior of epidemiological models with nonlinear incidence rates. J. Math. Biol. 25 (1987) 359-380
    • (1987) J. Math. Biol. , vol.25 , pp. 359-380
    • Liu, W.M.1    Hethcote, H.W.2    Levin, S.A.3
  • 12
    • 0141939684 scopus 로고    scopus 로고
    • Impulsive control strategies in biological control of pesticide
    • Lu Z., Chi X., and Chen L. Impulsive control strategies in biological control of pesticide. Theor. Pop. Biol. 64 (2003) 39-47
    • (2003) Theor. Pop. Biol. , vol.64 , pp. 39-47
    • Lu, Z.1    Chi, X.2    Chen, L.3
  • 13
    • 0037195889 scopus 로고    scopus 로고
    • The effect of constant and pulse vaccination of a SIR epidemic model with horizontal and vertical transmission
    • Lu Z., Chi X., and Chen L. The effect of constant and pulse vaccination of a SIR epidemic model with horizontal and vertical transmission. Math. Comput. Modell. 36 (2002) 1039-1057
    • (2002) Math. Comput. Modell. , vol.36 , pp. 1039-1057
    • Lu, Z.1    Chi, X.2    Chen, L.3
  • 14
    • 0030140255 scopus 로고    scopus 로고
    • A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competition environment
    • Panetta J.C. A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competition environment. Bull. Math. Biol. 58 (1996) 425-447
    • (1996) Bull. Math. Biol. , vol.58 , pp. 425-447
    • Panetta, J.C.1
  • 15
    • 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
  • 17
    • 34547134261 scopus 로고    scopus 로고
    • Global analysis of an epidemic model with nonmonotone incidence rate
    • Xiao D., and Ruan S. Global analysis of an epidemic model with nonmonotone incidence rate. Math. Biosci. 208 (2007) 419-429
    • (2007) Math. Biosci. , vol.208 , pp. 419-429
    • Xiao, D.1    Ruan, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.