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Second, by applying the uniform persistence theory, the predator P is uniformly persistent is also obtained in Theorem 3.2 (see Fig. 1).

Then system (2.6) is uniformly persistent.

If (R_{0}>1), then system (1) is uniformly persistent.

Thus, system (1) is uniformly persistent when (R_{0}>1).

By Theorem 4.6 in [30], u is uniformly persistent, and for (27), v is also uniformly persistent.

Then system (6.1) is uniformly persistent and has a unique globally asymptotically stable almost periodic solution.

That the predator P is uniformly persistent is also obtained in Theorem 3.2.

Therefore, the semi-flow ({Phi(t)}_{tgeq 0}) generated by system (1.4) is uniformly persistent.

If ({{Re}_{2}}>1) and (r>alpha KY_{0}), then system (1) is uniformly persistent.

The system (4.3) is uniformly persistent if and only if (Re_{0}>1).

In Section 4, we show that the disease is uniformly persistent when (R_{0}>1).