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Q1. The mathematical model is not clear as system of this problem is not clear need to explain all parameters and in which space working, for example normed space, or more precisely Banach space spatially  there is a necessity to have a metric space, compact region, stability and convergent property that give the mathematical model a good mathematical analysis with bound of error as in equations (16), (17), (29), (37). (38), (39) and (47).
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