Consider the equations describing the interactions of robins r and worms w, dw = w ...
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Consider the equations describing the interactions of robins r and worms w, dw = w – wr, dt dr and -r+ rw. dt (a) What are the (non-zero) nullclines for this system? w = (b) Your nullclines divide the phase plane into four regions. Give a sample point in each region, and indicate for that point whether each of the populations is increasing or decreasing (by entering the word increasing or decreasing appropriate blank): (i) (w, r) = ( ) is in one region, where the population of worms, w is and the population of robins, r is (ii) (w, r) = ( ) is in a second region, where the population of worms, w is and the population of robins, r is (ii) (w, r) = ( ) is in a third region, where the population of worms, w is and the population of robins, r is (iv) (w, r) = ( ) is in the fourth region, where the population of worms, w is and the population of robins, r is Notice what your conclusions about these four regions say about how the populations change with time. Consider the equations describing the interactions of robins r and worms w, dw = w – wr, dt dr and -r+ rw. dt (a) What are the (non-zero) nullclines for this system? w = (b) Your nullclines divide the phase plane into four regions. Give a sample point in each region, and indicate for that point whether each of the populations is increasing or decreasing (by entering the word increasing or decreasing appropriate blank): (i) (w, r) = ( ) is in one region, where the population of worms, w is and the population of robins, r is (ii) (w, r) = ( ) is in a second region, where the population of worms, w is and the population of robins, r is (ii) (w, r) = ( ) is in a third region, where the population of worms, w is and the population of robins, r is (iv) (w, r) = ( ) is in the fourth region, where the population of worms, w is and the population of robins, r is Notice what your conclusions about these four regions say about how the populations change with time.
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Related Book For
Systems analysis and design
ISBN: 978-0136089162
8th Edition
Authors: kenneth e. kendall, julie e. kendall
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