메뉴 건너뛰기




Volumn 433, Issue 1, 2016, Pages 121-148

Asymptotic behavior of a three species eco-epidemiological model perturbed by white noise

Author keywords

Asymptotically stable; Globally asymptotically stable; Predator prey; Stochastic differential equations; Susceptible infected disease models

Indexed keywords


EID: 84940713868     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2015.07.025     Document Type: Article
Times cited : (11)

References (14)
  • 1
    • 0000788763 scopus 로고
    • Modelling the role of viral disease in recurrent phytoplankton blooms
    • Beltrami E., Carroll T.O. Modelling the role of viral disease in recurrent phytoplankton blooms. J. Math. Biol. 1994, 32:857-863.
    • (1994) J. Math. Biol. , vol.32 , pp. 857-863
    • Beltrami, E.1    Carroll, T.O.2
  • 2
    • 0033149514 scopus 로고    scopus 로고
    • A predator-prey model with disease in the prey
    • Chattopadhyay J., Arino O. A predator-prey model with disease in the prey. Nonlinear Anal. 1999, 36:747-766.
    • (1999) Nonlinear Anal. , vol.36 , pp. 747-766
    • Chattopadhyay, J.1    Arino, O.2
  • 3
    • 0024781481 scopus 로고
    • Predator-prey population with parasite infection
    • Hadeler K.P., Freedman H.I. Predator-prey population with parasite infection. J. Math. Biol. 1989, 27:609-631.
    • (1989) J. Math. Biol. , vol.27 , pp. 609-631
    • Hadeler, K.P.1    Freedman, H.I.2
  • 5
    • 0035439412 scopus 로고    scopus 로고
    • An algorithmic introduction to numerical simulation of stochastic differential equations
    • Higham D.J. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev. 2001, 43:525-546.
    • (2001) SIAM Rev. , vol.43 , pp. 525-546
    • Higham, D.J.1
  • 6
    • 84878513960 scopus 로고    scopus 로고
    • Analysis of a predator-prey model with disease in the prey
    • 1350012
    • Ji C.Y., Jiang D.Q. Analysis of a predator-prey model with disease in the prey. Int. J. Biomath. 2013, 6. 1350012, 21 pp.
    • (2013) Int. J. Biomath. , vol.6 , pp. 21
    • Ji, C.Y.1    Jiang, D.Q.2
  • 7
    • 79952616171 scopus 로고    scopus 로고
    • Multigroup SIR epidemic model with stochastic perturbation
    • Ji C.Y., Jiang D.Q., Shi N.Z. Multigroup SIR epidemic model with stochastic perturbation. Phys. A 2011, 390:1747-1762.
    • (2011) Phys. A , vol.390 , pp. 1747-1762
    • Ji, C.Y.1    Jiang, D.Q.2    Shi, N.Z.3
  • 8
    • 84355161643 scopus 로고    scopus 로고
    • Dynamics of a multigroup SIR epidemic model with stochastic perturbation
    • Ji C.Y., Jiang D.Q., Yang Q.S., Shi N.Z. Dynamics of a multigroup SIR epidemic model with stochastic perturbation. Automatica 2012, 48:121-131.
    • (2012) Automatica , vol.48 , pp. 121-131
    • Ji, C.Y.1    Jiang, D.Q.2    Yang, Q.S.3    Shi, N.Z.4
  • 9
    • 67650711514 scopus 로고    scopus 로고
    • Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
    • Li X., Mao X. Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Discrete Contin. Dyn. Syst. Ser. A 2009, 24:523-545.
    • (2009) Discrete Contin. Dyn. Syst. Ser. A , vol.24 , pp. 523-545
    • Li, X.1    Mao, X.2
  • 11
    • 0001737855 scopus 로고
    • Epidemics in predator-prey models: disease in the prey
    • O. Arino, D. Axelrod, M. Kimmel, M. Langlais (Eds.)
    • Venturino E. Epidemics in predator-prey models: disease in the prey. Mathematical Population Dynamics: Analysis of Heterogeneity, vol. 1 1995, 381-393. O. Arino, D. Axelrod, M. Kimmel, M. Langlais (Eds.).
    • (1995) Mathematical Population Dynamics: Analysis of Heterogeneity, vol. 1 , pp. 381-393
    • Venturino, E.1
  • 12
    • 0036765813 scopus 로고    scopus 로고
    • Epidemics in predator-prey models: disease in the predators
    • Venturino E. Epidemics in predator-prey models: disease in the predators. IMA J. Math. Appl. Med. Biol. 2002, 19:185-205.
    • (2002) IMA J. Math. Appl. Med. Biol. , vol.19 , pp. 185-205
    • Venturino, E.1
  • 13
    • 0035877557 scopus 로고    scopus 로고
    • Analysis of a three species eco-epidemiological model
    • Xiao Y., Chen L. Analysis of a three species eco-epidemiological model. J. Math. Anal. Appl. 2001, 258:733-754.
    • (2001) J. Math. Anal. Appl. , vol.258 , pp. 733-754
    • Xiao, Y.1    Chen, L.2
  • 14
    • 0035016953 scopus 로고    scopus 로고
    • Modelling and analysis of a predator-prey model with disease in the prey
    • Xiao Y., Chen L. Modelling and analysis of a predator-prey model with disease in the prey. Math. Biosci. 2001, 171:59-82.
    • (2001) Math. Biosci. , vol.171 , pp. 59-82
    • Xiao, Y.1    Chen, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.