On the uniqueness and nonexistence of limit cycles for predator?prey systems

By Dongmei Xiao, Zhifeng Zhang. 2003

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Permanence for a delayed discrete ratio-dependent predator–prey system with Holling type functional response☆ (2004, methodology): “We refer to the monographs [10,16,21,24] for general delayed biological systems and to [18,22,23,25–27,30,31] for investigation on predator– prey systems.”
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry (2013, background): “For just continuous or even smooth Liénard systems there are many results on the non-existence, existence and uniqueness of limit cycles, see for instance [3, 6, 8, 20, 27, 29].”
A note on existence and uniqueness of limit cycles for Liénard systems (2003, methodology): “After this paper has been submitted for publication on JMAA, we learned that a result in the same framework appeared on [ 13 ].”
Analyses of Bifurcations and Stability in a Predator-prey System with Holling Type-IV Functional Response (2004, background): “Fig.4. The phase portrait of system (1) when d1 > 0, d2 > 0, and x2 >K > d0. According to Theorem 2.2 in [ 15 ], we have”
Global asymptotic stability of a ratio-dependent predator-prey system with diffusion (2006, methodology): “We refer to the monographs [7,14,18,23] for general delayed biological systems and to [16,21,22,24,25,27,28] for investigations on predator–prey systems.”