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Four limit cycles are constructed for classes 28, 30 and 31 in Zeeman'sclassification, together with the results in [5 ] for class 27, [20] for class29 and [22] for class 26 which indicate that for each class among classes26-31, there exist at least four limit cycles. This gives a partial answer to aproblem proposed in [22] as well as in [7].

Four limit cycles in three-dimensional Lotka-Volterra competitive systems with classes 28, 30 and 31 in Zeemans classification via automatic search