• Mathematical biosciences · Aug 1998

    Attracting theorems for cyclic sets and impermanence.

    • A Sikder.
    • Department of Theoretical Biology, Academy of Sciences of the Czech Republic, Faculty of Biological Science USB, Ceske Budejovice, Czech Republic. sikder@entu.cas.cz
    • Math Biosci. 1998 Aug 15; 152 (1): 1-11.

    AbstractWe derive attraction theorems for a cycle connecting nonempty compact (isolated) invariant sets using an average Lyapunov function. An application is given to a concrete system having such a cycle with the object to obtain the impermanence of the system.

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