Dynamic Modeling

Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Modeling Dynamic Systems....Pages 3-15
Front Matter....Pages 17-17
Four Model Sets....Pages 19-31
Gradual Development of a Dynamic Model....Pages 32-45
Two Independent Variables....Pages 46-55
Randomness....Pages 56-60
Positive and Negative Feedback....Pages 61-65
Derivatives and Lags....Pages 66-70
Front Matter....Pages 71-71
The Law of Mass Action....Pages 73-79
Chance-Cleland Model for Enzyme-Substrate Interaction....Pages 80-82
The Olsen Oscillator....Pages 83-87
Front Matter....Pages 89-89
Mating of Alleles....Pages 91-96
Natural Selection and Mutation....Pages 97-101
Front Matter....Pages 103-103
Robin Population....Pages 105-109
The Two-Stage Insect Model....Pages 110-114
The Zebra Mussel....Pages 115-122
Predator-Prey Models....Pages 123-128
Epidemic Modeling....Pages 129-131
Tragedy of the Commons....Pages 132-136
Front Matter....Pages 137-137
Introduction to Modeling Economic Processes....Pages 139-140
The Competitive Firm....Pages 141-145
Front Matter....Pages 137-137
The Monopolistic Firm....Pages 146-153
Competitive Equilibrium....Pages 154-156
Substitution....Pages 157-162
Time Value....Pages 163-166
Opportunity Cost....Pages 167-170
Optimal Tree Cutting....Pages 171-174
Fisheries Reserve Model....Pages 175-186
Competitive Scarcity....Pages 187-201
Front Matter....Pages 203-203
The Assembly Line....Pages 205-208
Models of Gravity and Acceleration....Pages 209-218
Chaos....Pages 219-226
Front Matter....Pages 227-227
Beginning a Dialogue....Pages 229-230
Back Matter....Pages 231-248