| Abstrakt: |
In the existing literatures, there exist at least four limit cycles for 3D Lotka-Volterra competitive systems in Zeeman's classes 26 and 27 with no explicit critical parameter values, and three limit cycles in Zeeman's classes 27 and 29 with explicit critical parameter values. Giving explicit critical parameter values in Zeeman's classes 26 - 31 and accurate focus values at them except class 30, we rigorously prove that Zeeman's classes 27 - 30 have at least three limit cycles, and Zeeman's classes 26 and 31 have at least two small amplitude limit cycles. [ABSTRACT FROM AUTHOR] |
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