메뉴 건너뛰기




Volumn 1, Issue 3, 2008, Pages 327-337

The existence of positive periodic solutions of an eco-epidemic model with impulsive birth

Author keywords

coincidence degree theory; eco epidemic model; existence; Impulsive birth; periodic solutions

Indexed keywords


EID: 68049143406     PISSN: 17935245     EISSN: 17937159     Source Type: Journal    
DOI: 10.1142/S1793524508000278     Document Type: Article
Times cited : (5)

References (19)
  • 1
    • 0006984133 scopus 로고
    • Globally asymptotic stability in a periodic Lotka-Volterra system
    • K. Gopalsamy, Globally asymptotic stability in a periodic Lotka-Volterra system, J. Aust. Math. Soc. Ser. B 24 (1982) 160.
    • (1982) J. Aust. Math. Soc. Ser. B , vol.24 , pp. 160
    • Gopalsamy, K.1
  • 2
    • 0039466809 scopus 로고    scopus 로고
    • Existence, uniqueness and as asymptotic stability of periodic solution of periodic functional differential systems
    • B. Tang and Y. Kuang, Existence, uniqueness and as asymptotic stability of periodic solution of periodic functional differential systems, J. Toho Math. 49 (1997) 217-239.
    • (1997) J. Toho Math. , vol.49 , pp. 217-239
    • Tang, B.1    Kuang, Y.2
  • 5
    • 0033149514 scopus 로고    scopus 로고
    • A predator-prey model with disease in the prey
    • J. Chattopadhyay and O. Arino, A predator-prey model with disease in the prey, Nonlinear Anal. 36 (1999) 747-766.
    • (1999) Nonlinear Anal. , vol.36 , pp. 747-766
    • Chattopadhyay, J.1    Arino, O.2
  • 6
    • 0035877557 scopus 로고    scopus 로고
    • Analysis of a three species eco-epidemiology model
    • Y. N. Xiao and L. S. Chen, Analysis of a three species eco-epidemiology model, J. Math. Appl. 258 (2001) 733-754.
    • (2001) J. Math. Appl. , vol.258 , pp. 733-754
    • Xiao, Y.N.1    Chen, L.S.2
  • 7
    • 4544256326 scopus 로고    scopus 로고
    • The role of virus infection in a simple phytoplankton zooplankton system
    • B. K. Singh, J. Chattopadhyay and O. Arino, The role of virus infection in a simple phytoplankton zooplankton system, J. Theor. Biol. 231 (2004) 153-166.
    • (2004) J. Theor. Biol. , vol.231 , pp. 153-166
    • Singh, B.K.1    Chattopadhyay, J.2    Arino, O.3
  • 8
    • 0347996171 scopus 로고    scopus 로고
    • The dynamics of an eco-epidemic model with biological control
    • Y. Xiao and F. Van Den Bosch, The dynamics of an eco-epidemic model with biological control, Eco. Model. 168 (2003) 203-214
    • (2003) Eco. Model. , vol.168 , pp. 203-214
    • Xiao, Y.1    Van Den Bosch, F.2
  • 9
    • 1842476842 scopus 로고    scopus 로고
    • The existence of periodic solutions of the n-species Lotka-Volterra competion systems with impulsive
    • Z. Jin, Z. Ma and M. Han, The existence of periodic solutions of the n-species Lotka-Volterra competion systems with impulsive, Chaos Solitons Fractals 22 (2004) 181-188.
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 181-188
    • Jin, Z.1    Ma, Z.2    Han, M.3
  • 10
    • 0037332898 scopus 로고    scopus 로고
    • Complex dynamics of Holling type II Lotka-Volterra predatorprey system with impulsive perturbations on the predator
    • X. Liu and L. Chen, Complex dynamics of Holling type II Lotka-Volterra predatorprey system with impulsive perturbations on the predator, Chaos Solitons Fractals 16 (2003) 311-320.
    • (2003) Chaos Solitons Fractals , vol.16 , pp. 311-320
    • Liu, X.1    Chen, L.2
  • 13
    • 0035016953 scopus 로고    scopus 로고
    • Modeling and analysis of a predator-prey model with disease in the prey
    • Y. N. Xiao and L. S. Chen, Modeling and analysis of a predator-prey model with disease in the prey, J. Math. Biosci. 171 (2001) 59-82.
    • (2001) J. Math. Biosci. , vol.171 , pp. 59-82
    • Xiao, Y.N.1    Chen, L.S.2
  • 14
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infections disease
    • H. W. Hethcote, The mathematics of infections disease, J. SIAM Rev. 42 (2000) 599-653.
    • (2000) J. SIAM Rev. , vol.42 , pp. 599-653
    • Hethcote, H.W.1
  • 16
    • 12444341915 scopus 로고    scopus 로고
    • The persistence in a Lotka-Volterra competition systems with impulsive
    • Z. Jin, M. Han and G. Li, The persistence in a Lotka-Volterra competition systems with impulsive, Chaos Solitons Fractals 24 (2005) 1105-1117.
    • (2005) Chaos Solitons Fractals , vol.24 , pp. 1105-1117
    • Jin, Z.1    Han, M.2    Li, G.3
  • 19
    • 33747377823 scopus 로고    scopus 로고
    • Weak average persistence and extinction of a predator-prey system in a polluted environment with impulsive toxicant input
    • X. F. Yang, Z. Jin and Y. K. Xue, Weak average persistence and extinction of a predator-prey system in a polluted environment with impulsive toxicant input, Chaos Solitons Fractals 31 (2007) 726-735.
    • (2007) Chaos Solitons Fractals , vol.31 , pp. 726-735
    • Yang, X.F.1    Jin, Z.2    Xue, Y.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.