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Volumn 5, Issue 3, 1998, Pages 507-516

Effect of time delay in an autotroph-herbivore system with nutrient cycling

Author keywords

Asymptotic stability; Autotroph herbivore system; Gestation period; Nutrient cycling; Time delay

Indexed keywords

ASYMPTOTIC STABILITY; NUTRIENTS; TIMING CIRCUITS;

EID: 77953813117     PISSN: 15985865     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf03008878     Document Type: Article
Times cited : (5)

References (13)
  • 1
    • 0022766987 scopus 로고
    • Global analysis of a system of predator-prey equations
    • Conway, E. D. and Smoller,J.A., Global analysis of a system of predator-prey equations, SIAM. J. of Applied Mathematics, 46 (1986), 630-642.
    • (1986) SIAM. J. of Applied Mathematics , vol.46 , pp. 630-642
    • Conway, E.D.1    Smoller, J.A.2
  • 2
    • 0000209631 scopus 로고
    • Discrete delay distributed delay and stability switches
    • Cook, K. L. and Grossman, Z., Discrete delay distributed delay and stability switches, J. Math. Anal. Appl., 86 (1982), 592-627.
    • (1982) J. Math. Anal. Appl. , vol.86 , pp. 592-627
    • Cook, K.L.1    Grossman, Z.2
  • 3
    • 0003196710 scopus 로고
    • Integro-differential equations and delay models in populations dynamics
    • Springer, Heidelberg
    • Cushing, J. M., Integro-differential equations and delay models in populations dynamics, Lecture notes in Biomathematics, 20, Springer, Heidelberg, 1977.
    • (1977) Lecture Notes in Biomathematics , vol.20
    • Cushing, J.M.1
  • 4
    • 38249041068 scopus 로고
    • A model of herbivore feedback on plant productivity
    • Dyer, M. I., De angelis, D. L. and Post, W. M., A model of herbivore feedback on plant productivity, Math. Biosciences, 79 (1986), 171-184.
    • (1986) Math. Biosciences , vol.79 , pp. 171-184
    • Dyer, M.I.1    De Angelis, D.L.2    Post, W.M.3
  • 5
    • 0003375471 scopus 로고
    • Three species food chain models with mutual interference and time delays
    • Freedman, H. I. and Erbe, L. H. and Rao, V. S. H., Three species food chain models with mutual interference and time delays, Math. Biosci., 80 (1986), 57-80.
    • (1986) Math. Biosci. , vol.80 , pp. 57-80
    • Freedman, H.I.1    Erbe, L.H.2    Rao, V.S.H.3
  • 6
    • 0002455609 scopus 로고
    • Non-occurence of stability switching in system with discrete delays
    • Freedman, H. I. and Gopalsamy, K., Non-occurence of stability switching in system with discrete delays, Canad. Math. Bull., 31 (1988), 52-58.
    • (1988) Canad. Math. Bull. , vol.31 , pp. 52-58
    • Freedman, H.I.1    Gopalsamy, K.2
  • 7
    • 0001352326 scopus 로고
    • The trade-of between mutual interaction and time lag in predator-prey system
    • Freedman, H. I. and Rao, V. S. H., The trade-of between mutual interaction and time lag in predator-prey system, Bull. Math. Biol., 43 (1983), 991-1004.
    • (1983) Bull. Math. Biol. , vol.43 , pp. 991-1004
    • Freedman, H.I.1    Rao, V.S.H.2
  • 9
    • 0002366911 scopus 로고
    • The functional response population regulation
    • Holling, C.S., The functional response ..population regulation, Mem. Entomol. Soc. Can., 45 (1965), 1-60.
    • (1965) Mem. Entomol. Soc. Can. , vol.45 , pp. 1-60
    • Holling, C.S.1
  • 11
    • 0022042327 scopus 로고
    • The effect of long time delays in predator - Prey system
    • Nunny, L., The effect of long time delays in predator - prey system, Theo. Population Biol., 27 (1985), 202-221.
    • (1985) Theo. Population Biol. , vol.27 , pp. 202-221
    • Nunny, L.1
  • 12
    • 0022184007 scopus 로고
    • Temporal variation spatial heterogenity and competition for resources in plankton systems : Theoretical model
    • Powell, T. and Richerson, P. J., Temporal variation spatial heterogenity and competition for resources in plankton systems : theoretical model, Am. Nat., 125 (1985), 431-463.
    • (1985) Am. Nat. , vol.125 , pp. 431-463
    • Powell, T.1    Richerson, P.J.2
  • 13
    • 0027803405 scopus 로고
    • Osillatory behaviour in resource based plant herbivore model with random herbivore attack
    • Sarkar, A. K. and Roy, A. B., Osillatory behaviour in resource based plant herbivore model with random herbivore attack, Ecological Modelling, 68 (1993), 213-226.
    • (1993) Ecological Modelling , vol.68 , pp. 213-226
    • Sarkar, A.K.1    Roy, A.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.