On a certain island, there is a population of snakes, foxes, hawks and mice. Their populations at
time t are given by s(t),f(t),h(t), and m(t) respectively. The populations grow at rates given by the
differential equations s=1443s713f141h143mf=1415s+71f141h143mh=1415s76f+1413h143mm=
14255s7109f+1453h1423m Putting the four populations into a vector y(t)=[s(t)f(t)h(t)m(t)]T, this
system can be written as y=Ay. Find the eigenvectors and eigenvalues of A. Label the
eigenvectors x1 through x4 in order from largest eigenvalue to smallest (the smallest being
negative). Scale each eigenvector so that its first component is 1 . When you have done so,
identify the eigenvector whose fourth component is the largest. What is that largest fourth
component?.
On a certain island there is a population of snakes foxes.pdf
1. On a certain island, there is a population of snakes, foxes, hawks and mice. Their populations at
time t are given by s(t),f(t),h(t), and m(t) respectively. The populations grow at rates given by the
differential equations s=1443s713f141h143mf=1415s+71f141h143mh=1415s76f+1413h143mm=
14255s7109f+1453h1423m Putting the four populations into a vector y(t)=[s(t)f(t)h(t)m(t)]T, this
system can be written as y=Ay. Find the eigenvectors and eigenvalues of A. Label the
eigenvectors x1 through x4 in order from largest eigenvalue to smallest (the smallest being
negative). Scale each eigenvector so that its first component is 1 . When you have done so,
identify the eigenvector whose fourth component is the largest. What is that largest fourth
component?
![On a certain island, there is a population of snakes, foxes, hawks and mice. Their populations at
time t are given by s(t),f(t),h(t), and m(t) respectively. The populations grow at rates given by the
differential equations s=1443s713f141h143mf=1415s+71f141h143mh=1415s76f+1413h143mm=
14255s7109f+1453h1423m Putting the four populations into a vector y(t)=[s(t)f(t)h(t)m(t)]T, this
system can be written as y=Ay. Find the eigenvectors and eigenvalues of A. Label the
eigenvectors x1 through x4 in order from largest eigenvalue to smallest (the smallest being
negative). Scale each eigenvector so that its first component is 1 . When you have done so,
identify the eigenvector whose fourth component is the largest. What is that largest fourth
component?](https://image.slidesharecdn.com/onacertainislandthereisapopulationofsnakesfoxes-230322045912-c62a2394/85/on-a-certain-island-there-is-a-population-of-snakes-foxespdf-1-320.jpg)
