Interpretation:
To show how the simplest model
Concept Introduction:
Express the equation in dimensionless form and determine dimensionless parameter.
Analyze fixed points for the system equation.
Draw vector field for the system.
Sketch phase portrait for system equation, and show the nature of curve trajectories using
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Nonlinear Dynamics and Chaos
- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1arrow_forwardSuppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.arrow_forwardExplain the differences between Gaussian elimination and Gauss-Jordan elimination.arrow_forward
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