LIFESCI 30A Lecture 3: Lecture 3 - States and State Spaces
Document Summary
The state of a system at time t refers to the total configuration of the system at the time. What all lynxes and hares are doing at time t. Building a mathematical model of a system -- focus on a small number of quantitative features. Definition: the state of a system s at the time t in a model m is specified by the values of state variables in m. L = 28 individuals h = 498 hares. At a different time t", the system will typically be in a different state and the values of the state variables will be different. Definition: the state space of a system s in a model m is the set of all possible states of the system. The state space of a system is the set of all possible values of all the state variables. State variables l and h can take on any nonnegative whole number values.