ERRATUM. In the original published version of Table 1, there was an error in the first equation. The final character in the equation, N_{2}, should not appear in the equation. The correct equation is
dE_{1}/dt = I - b_{1}E_{1} + eE_{1}
The corrected table, in which the N_{2} has been removed, is provided in full below.
TABLE 1 (corrected) : Example model of an economic system, E, interacting with a natural system, N. The combined system is diagrammed in Fig. 1.dE_{1}/dt = I - b_{1}E_{1} + eE_{1}, | E_{1}(.) = 10 | |
dE_{2}/dt = b_{1}E_{1} - b_{2}E_{2} - eE_{2}, | E_{2}(.) = 10 |
dN_{1}/dt = P - a_{1}N_{1}N_{2} - a_{2}N_{1}, | N_{1}(.) = 315.23 | |
dN_{2}/dt = a_{1}N_{1}N_{2} - eE_{1} - a_{3}N_{2}N_{3} + a_{4}N_{4}N_{2}, | N_{2}(.) = 316.23 | |
dN_{3}/dt = a_{3}N_{2}N_{3} - a_{5}N_{3}N_{4}, | N_{3}(.) = 631.46 | |
dN_{4}/dt = a_{2}N_{1} + a_{5}N_{3}N_{4} + eE_{2} - a_{4}N_{4}N_{2} - a_{6}N_{4}^{2}, | N_{4}(.) = 316.23 |
I | = 1.0 |
b_{1} | = 0.1 = b_{2} |
e | = 0.0 |
P | = 1000 |
a_{1} | = 0.01 = a_{2} = a_{3} = a_{4} = a_{5} = a_{6} |