Quiz 1 Math 1360 Fall 2019
Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit
Quiz 1 Math 1360 Fall 2019
Consider Richardson’s model with ab > mn, r < 0 and s > 0.
1. What are the assumptions of ab > mn, r < 0 and s > 0? [12 pts]
.
.
.
.
.
2. Find, plot & label on a sketch: nullclines [12 pts], trajectory directions [12 pts], equilibria [12 pts] and a few representative trajectories [12 pts]. Make sketch ≥ 1/2 page. (Size and comprehensibility 12 pts)
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
3. Assume a = b and m = n. Let z(t) = x(t) + y(t). Let Zcritical be such that if z(0) < Zcritical then z(t) ↓ and if z(0) > Zcritical then z(t) ↑ . Find Zcritical . [12 pts analysis & 12 pts answer]
2023-09-23