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Global stability of population models. (English) Zbl 0451.92011

92D25Population dynamics (general)
39A11Stability of difference equations (MSC2000)
34K20Stability theory of functional-differential equations
Full Text: DOI
[1] Fisher, M. E., B. S. Goh and T. L. Vincent. 1979. ”Some Stability Conditions for Discrete-Time Single Species Models”.Bull. Math. Biol. (In press). · Zbl 0418.92014
[2] Goh, B. S. 1979.Management and Analysis of Biological Populations. New York: Elsevier. · Zbl 0497.34060
[3] Hassell, M. P. 1974. ”Density Dependence in Single Species Populations.”J. Anim. Ecol.,44, 283--296. · doi:10.2307/3863
[4] LaSalle, J. P. 1976.The Stability of Dynamical Systems. Philadelphia: SIAM. · Zbl 0364.93002
[5] May, R. M. 1974. ”Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos.”Science,186, 645--647. · doi:10.1126/science.186.4164.645
[6] Moran, P. A. P. 1950. ”Some Remarks on Animal Population Dynamics.”Biometrics,6, 250--258. · doi:10.2307/3001822
[7] Pennycuick C. J., R. M. Compton and L. Beckingham. 1968. ”A Computer Model for Simulating the Growth of a Population, or of Two Interacting Populations.”J. theor. Biol.,18, 316--329. · doi:10.1016/0022-5193(68)90081-7
[8] Ricker, W. E. 1954. ”Stock and Recruitment.”J. Fish. Res. Bd. Can.,11, 559--623. · doi:10.1139/f54-039
[9] Smith, J. M. 1968.Mathematical Ideas in Biology. Cambridge University Press.
[10] -- 1974.Models in Ecology. Cambridge University Press, Cambridge, U.K. · Zbl 1066.92504
[11] Utida, S. 1957. ”Population Fluctuation, an Experimental and Theoretical Approach.”Cold Spring Harbor Symp. Quant. Biol.,22, 139--151. · doi:10.1101/SQB.1957.022.01.016