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We first investigate the existence and uniqueness of globally positive solution of the stochastic model.
The existence and uniqueness of globally positive solution to this system are proved.
Firstly, we show that the solution of system (1.3) is globally positive.
In this section, we show that there is a unique globally positive solution of system (1.2).
For the autonomous system, sufficient conditions for globally positive solution and stochastic permanence are established.
Firstly, we show that the solution of system (3) is globally positive and stochastically ultimately bounded.
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We show that the system always admits a unique globally attractive positive equilibrium.
Together with Lemma 3.3, system (1.1) has a unique globally attractive positive almost periodic solution.
When (theta=0), from [7], we can obtain that system (1.4) has a globally stable positive equilibrium.
According to Theorem 2.2, system (1.6) has a unique and globally attractive positive equilibrium (E(1.0571,0.1954)).
According to Theorem 3.1, system (4.1) has a unique globally attractive positive almost periodic solution.
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