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Each system of differential equations is a model for two species that either compete for the same resources or cooperate for mutual benefit (flowering.

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Presentation on theme: "Each system of differential equations is a model for two species that either compete for the same resources or cooperate for mutual benefit (flowering."— Presentation transcript:

1 Each system of differential equations is a model for two species that either compete for the same resources or cooperate for mutual benefit (flowering plants and insect pollinators, for instance). Decide which of the following systems describes the competition model. 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1. 2.

2 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.At t = 3 the population of species 1 reaches a maximum of about 200. 2.At t = 2 the population of species 2 reaches a maximum of about 100. 3.At t = 2 the population of species 2 reaches a maximum of about 190

3 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1. A=9,000,L=400 2. A=10,000,L=400 3. A=8,000,L=200

4 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.Both populations are stable 2.In the absence of wolves, the rabbit population is always 5000 3.Zero populations

5 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.At t = C number of rabbits decreases to about 1000. 2.At t = B the number of foxes reaches a maximum of about 2400. 3.At t = B number of rabbits rebounds to 100.


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