A dynamical model is a mathematical representation used to describe how a system changes over time. It captures the relationships between different variables and how they influence each other, often using equations to predict future behavior. These models are widely used in fields like physics, biology, and economics to simulate real-world processes. In a dynamical model, the system's state is typically represented by variables that evolve according to specific rules. For example, in ecology, a dynamical model might illustrate how a population of predators and prey interacts over time, helping researchers understand population dynamics and ecosystem stability.