摘要：We study the dynamic behaviors
of a general discrete nonautonomous system of plankton
allelopathy with delays. We first show that under some suitable
assumption, the system is permanent. Next, by constructing a
suitable Lyapunov functional, we obtain a set of sufficient
conditions which guarantee the global attractivity of the two
species. After that, by constructing an extinction-type Lyapunov
functional, we show that under some suitable assumptions, one
species will be driven to extinction. Finally, two examples
together with their numerical simulations show the feasibility of
the main results.
