Conditions for uniqueness of limit cycles in general predator-prey systems
XC Huang, SJ Merrill - Mathematical biosciences, 1989 - Elsevier
Using a transformation to a generalized Lienard system, theorems are presented that give
conditions under which unique limit cycles for generalized ecological systems, including
those of predator-prey form, exist. The generalized systems contain those studied by
Rosenzweig and MacArthur (1963); Hsu, Hubbell, and Waltman (1978); Kazarinnoff and van
den Driessche (1978); Cheng (1981); Liou and Cheng (1987); and Kuang and Freedman
(1988). Although very similar in approach to the result presented by Kuang and Freedman …
conditions under which unique limit cycles for generalized ecological systems, including
those of predator-prey form, exist. The generalized systems contain those studied by
Rosenzweig and MacArthur (1963); Hsu, Hubbell, and Waltman (1978); Kazarinnoff and van
den Driessche (1978); Cheng (1981); Liou and Cheng (1987); and Kuang and Freedman
(1988). Although very similar in approach to the result presented by Kuang and Freedman …
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