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Assume that there is no positive equilibrium.
Let be a positive equilibrium of (2.1).
Therefore, the positive equilibrium (E^) is unstable.
or (3.2). holds, then (1.4) has a unique positive equilibrium.
In this case, the unique positive equilibrium is.
where, and Its unique positive equilibrium is (1.12).
The positive equilibrium (E^_{3}) is asymptotically stable.
However, there is no positive equilibrium for system (1.2).
Then the positive equilibrium E is a stable focus.
That is, ( x ∗, y ∗ ) is a positive equilibrium of (1.3).
Then the positive equilibrium of (1.1) is locally asymptotically stable.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com