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there exists a unique such that (1.6).
Otherwise, there exists a unique endemic equilibrium.
Then there exists a unique a.s.s
Then there exists a unique global minimum.
Hence, there exists a unique (U^{n}).
Then there exists a unique such that.
We show that there exists a unique such that.
Finally, for, there exists a unique positive solution.
Then for each, there exists a unique such that (2.22).
Then there exists a unique function in such that.
Then there exists a unique solution to (1.3).
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CEO of Professional Science Editing for Scientists @ prosciediting.com