On global stability of a predator-prey system

Mathematical Biosciences - Tập 39 Số 1-2 - Trang 1-10 - 1978
Sze‐Bi Hsu1
1Department of Mathematics University of Utah Salt Lake City, Utah 84112, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Andronov, 1973

Freedman, 1976, Graphical stability, enrichment, and pest control by a natural enemy, Math. Biosci., 31, 207, 10.1016/0025-5564(76)90080-8

Gause, 1936, Further studies of interaction between predators and prey, J. Anim. Ecol., 5, 1, 10.2307/1087

Goh, 1977, Global stability in many species systems, Amer. Natur., III, 135, 10.1086/283144

Hsu, 1976

Kolmogorov, 1936, Sulla teoria di Volterra della lotta per l'esistenze, Giorn. Ist. Ital. Attuari, 7, 74

Labine, 1973, A teaching model of population interactions: an algae-daphnia-predator system, Bioscience, 23, 162, 10.2307/1296459

LaSalle, 1960, Some extension of Lyapunov's second method, IRE Trans. Circuit Theory, CT-7, 520, 10.1109/TCT.1960.1086720

May, 1974

May, 1976, Theoretical Ecosystems

Maynard Smith, 1974, Models in Ecology

Oaten, 1975, Functional response and stability in predator-prey systems, Amer. Natur., 109, 289, 10.1086/282998

Rosenzweig, 1969, Why the prey curve has a hump, Amer. Natur., 103, 81, 10.1086/282584

Rosenzweig, 1963, Graphical representation and stability conditions of predator-prey interaction, Amer. Natur., 47, 209, 10.1086/282272