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since is an increasing function.
Therefore, (f(x)) is an increasing function.
Note that φ is an increasing function.
Then f is an increasing function.
Then (f(x)) is an increasing function.
If is an increasing function, then.
Since are positive increasing functions, then is an increasing function.
end{aligned} Consequently, (F_{1} v)) is an increasing function.
Assume that (1.1). is an increasing function with respect to.
This value is an increasing function of the Allee effect.
Expression (29) is an increasing function of β.
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CEO of Professional Science Editing for Scientists @ prosciediting.com