(Solution) - A simple threecompartment model that describes nutrients in a food -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Pages: 5 Words: 1375

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A simple threecompartment model that describes nutrients in a food chain has been studied by M. R. Cullen.1 (See Fig. 6.2. 16.) For example, the constant a31 = 0.04 alongside the arrow connecting compartment I (phytoplankton) to compartment 3 (zooplankton) means that at any given time, nutrients pass from the phytoplankton compartment to the zooplankton compartment at the rate of 0.04x1 per hour. Find the linear system  = A that describes the amount of nutrients in each compartment.