Dynamics of nonautonomous tridiagonal competitive-cooperative systems of differential equations
نویسنده
چکیده
Skew-product flow which is generated by a nonautonomous recurrent tridiagonal competitive-cooperative system of differential equations is considered. It is shown that any minimal set is an almost 1-1 extension of the base flow and any ω-limit set contains at most two minimal sets, which generalizes the results of J. Smillie [SIAM J. Math. Anal., 15(1984), pp. 530–534] in autonomous cases and H. L. Smith [SIAM J. Math. Anal., 22(1991), pp. 1102–1109] in timeperiodic cases. Further results are also obtained in the case that the base flow is almost automorphic or almost periodic.
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