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Emirates ordered no less than $12 billion-worth of giant Airbuses at last month's Paris air show.Moreover, hostile takeovers are reappearing on the stage (see article), a sure sign of emerging opportunism.
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As a rule, you should order no less than three ribs when cooking a standing rib roast.
For model (2.2) a limit cycle with order no less than 3 does not exist.
These studies also found that the models have no limit cycles with order no less than 3.
In the following we prove that if (taugeqtau_{M}), then for model (2.2) no limit cycle with order no less than 3 exists for case (SC2).
If (tauorder no less than 2 does not exist.
Further, if (krightarrowinfty), then it is easy to show that there exists an unique asymptotically stable order-1 limit cycle and then for model (2.2) a limit cycle with order no less than 3 does not exist.
In particular, the existence of an order-1 limit cycle and its local stability, and the non-existence of limit cycles with order no less than 3 have been studied.
In conclusion, we have proved that model (2.2) does not have a limit cycle with order no less than 3 for all cases, and consequently the result shown in Theorem 10.1 is true.
These results indicate that model (2.2) does not have any limit cycle with order no less than 2. Figure 15 Existence of periodic solution for case (SC (pmb{_{12}}) ).
Further, according to Lemma 10.3 and Remark 10.1 it is easy to see that if (tau=0) then for model (2.2) a limit cycle with order no less than 2 does not exist.
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