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kondaur [170]
3 years ago
7

two classrooms are sharing 7 packages of unit cubes. if the packages are split evenly, how many packages will each classroom rec

eive?
Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Each classroom will receive 3.5 packages

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For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.
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Answer:

  • 2 and 3 are the the growth rates parameter for x and y respectively
  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

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Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy

\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

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\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy

\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy

Therefore:

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  • 16 and 20 are the carrying capacities for x and y respectively
  • 2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

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