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Tabu Search uses particular coordinated strategies using adaptive memory to generate progressive sequence solutions.
Can such requirement be relaxed and yet still obtain periodic sequence solutions and whether they are always of anti-sign? .
These progressive sequence solutions are then recognized as the best solutions, which are picked for recurring iterations.
Though protein folding problem still remains unsolved, the possibility of having multiple sequence solutions for a single fold makes protein design a more tractable problem than protein folding.
In the following, we focus on seeking the almost-periodic w-solutions or solutions of (1.2) via the almost-periodic sequence solutions of (2.5) and (2.6).
On the existence and stability of almost periodic sequence solutions for the discrete biological models, some results are found in the literature, we refer to [8, 9, 17, 18].
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That is coexistence of a positive periodic sequence solution and its anti-sign periodic sequence solution.
By Theorem 3.1, there exists a positive ten-periodic sequence solution of (4.1) and a negative ten-periodic sequence solution.
If, and are all satisfied, then, where is the unique almost periodic sequence solution of (2.7).
Then system (5.1) is persistent and has a unique uniformly asymptotically stable almost periodic sequence solution.
From Theorem 3.2, there exist a positive ten-periodic sequence solution and an anti-sgn ones of (4.2).
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