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We start to prove system (2.1) is uniformly exponentially stable.
Using the similar arguments to those in [37], we can prove system (3.1) is dissipative.
In this subsection, we shall prove system (1.3) still remains stable in the presence of self-diffusion but without cross-diffusion (i.e., (b=0)).
The purpose of this paper is to prove that the system (2.1) has a microorganism-extinction periodic solution, further, it is globally attractive, and also prove system (2.1) is permanent.
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They then use the rich body of existing algebraic techniques to prove system-level properties of two simple demonstration models.
There's a real point of reference for the antiquated look, just as the Celtics' occasional follies still point to a well-defined and proven system.
If I'm Akron, I'm looking for the next Jerry Kill, an older, experienced coach with a track record of success and a proven system.
Subsequently, the proven system model was translated into an implementation.
Unless you have a proven system, it is often difficult to pick the bottom.
(Harrison and Théry 1998) is an example of the integration of a higher-order logic theorem proving system (HOL) with a computer algebra system (Maple).
In this article, additional variables are introduced to decouple system matrices from the ones proving system stability.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com