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A class of matrices connected with Volterra prey-predator equations. (English) Zbl 0508.92020


MSC:

92D25 Population dynamics (general)
34D05 Asymptotic properties of solutions to ordinary differential equations

Citations:

Zbl 0485.92015
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Full Text: DOI

References:

[1] Harary, Frank; Palmer, EdgarM., Graphical enumeration, (1973) · Zbl 0266.05108
[2] Krikorian, Nishan, The Volterra model for three species predator-prey systems: boundedness and stability, J. Math. Biol., 7, 117, (1979) · Zbl 0403.92021
[3] Maybee, JohnS., Combinatorially symmetric matrices, Linear Algebra and Appl., 8, 529, (1974) · Zbl 0438.15021 · doi:10.1016/0024-3795(74)90087-1
[4] Maybee, John; Quirk, James, Qualitative problems in matrix theory, SIAM Rev., 11, 30, (1969) · Zbl 0186.33503 · doi:10.1137/1011004
[5] Parter, S. Y.; Youngs, J. W. T., The symmetrization of matrices by diagonal matrices, J. Math. Anal. Appl., 4, 102, (1962) · Zbl 0101.25204 · doi:10.1016/0022-247X(62)90032-X
[6] Redheffer, R.; Zhou, Z., Global asymptotic stability for a class of many-variable Volterra prey-predator systems, Nonlinear Anal., 5, 1309, (1981) · Zbl 0485.92015 · doi:10.1016/0362-546X(81)90108-5
[7] Volterra, V., Leçons sur la théorie mathématique de la lutte pour la vie, (1931) · JFM 57.0466.02
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