LIFESCI 30A Lecture Notes - Lecture 2: State Space
28 Oct 2016
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S(t) = number of sharks at time t, year t, day t, etc: usually, we"ll omit (t). Just remember that state variables are functions of time: state variables must always have units. 3-species food chain: r = # of rabbits, f = # foxes, l = # of mountain lions. Hypothalamus-pituitary-gonad models: h = level (concentration in blood) of gnrh, p = level of fsh and lh, g = level of estrogen and progesterone. Not just a property of a system as a whole, but at a specific time. If right now there are 507 tuna and 38 sharks, we"d say the state of the system is (507 tuna, 38 sharks). Take the values of all the state variables and put them into a list. Definition: the state of a system (at a particular time t) is the collection of the values of each of the state variables put into a list, more accurately called a vector.
