Competition Between Populations In this exercise, we consider the problem of competition between two populations that vie for resources but do not prey on each other. Let m be the size of the first population, let n be the size of the second (both measured in thousands of animals), and assume that the populations coexist eventually. An example of one common model for the interaction is Per capita growth rate for m is 3(1 – m – n) | Per capita growth rate for n is 2(1 – 0.7m – 1.1n). At an equilibrium point, the per capita growth rates for m and for n are both zero. If the populations reach such a point, then they will continue at that size indefinitely. Find the equilibrium point in the example above.
Competition Between Populations In this exercise, we consider the problem of competition between two populations that vie for resources but do not prey on each other. Let m be the size of the first population, let n be the size of the second (both measured in thousands of animals), and assume that the populations coexist eventually. An example of one common model for the interaction is Per capita growth rate for m is 3(1 – m – n) | Per capita growth rate for n is 2(1 – 0.7m – 1.1n). At an equilibrium point, the per capita growth rates for m and for n are both zero. If the populations reach such a point, then they will continue at that size indefinitely. Find the equilibrium point in the example above.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 51E: U.S Asian Population Refer to Exercise 50. The report also predicted that the U.S. Asian population...
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Transcribed Image Text:11. Competition Between Populations In this
exercise, we consider the problem of competition
between two populations that vie for resources but
do not prey on each other. Let m be the size of the
first population, let n be the size of the second (both
measured in thousands of animals), and assume that
the populations coexist eventually. An example of
one common model for the interaction is
Per capita growth rate for m is 3(1 – m – n)
т —
-
Per capita growth rate for n is 2(1 – 0.7m – 1.ln).
At an equilibrium point, the per capita growth rates
for m and for n are both zero. If the populations
reach such a point, then they will continue at that
size indefinitely. Find the equilibrium point in the
example above.
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