This study presents the importance of mobile agents and how they interact in various sizes with the targeted platforms, as the platforms that were mentioned (JADE, Voyager, Aglet's, Concordia) were receiving agents of various sizes (100KB, 1MB, 1GB, 10GB, 100GB) and the importance of each of them was explained. These platforms predict the length of time it will take if they respond to agents using mathematical models (Newton's equation and Lagrange's equation). The importance of this study is to determine the most appropriate platform according to the requirement that we want to work on, as several previous studies contained platforms that responded to agents of small sizes only and did not respond to agents of large sizes, as they faced several challenges. This study will take action in responding to the platforms to large-sized agents within a short period of time. The result of this study was that the JADE platform was the most appropriate and best platform that faced the challenges among all the targeted platforms. If the Newton model and the Lagrange model were used, it took the least time to respond to agents of different sizes. It was concluded that Newton's equation is the most appropriate in dealing with Platforms and agents because the values we concluded for these equations were less than the results of the Lagrange equations. Key Words: Agent's, Agent's Platforms, Numerical Model, Mathematical Model, Newton's Equation, Lagrange's Equation, Java, Jade