4. A model for the population of pigeons in the United States is given by the autonomous DE: Р' %3 (1 — Р)(1 — 2Р)P. To answer the following questions you do not need to solve the DE. (a) Find the critical points and phase portrait of the DE. (Portraits without a proper justification for the arrows will get zero credit.) (b) Classify each critical point as asymptotically stable, unstable or semi-stable. (c) Sketch typical solution curves in the regions (in the xy, plane) determined bv the graphs of eauilibrium solutions.

4. A model for the population of pigeons in the United States is given by the autonomous DE: Р' %3 (1 — Р)(1 — 2Р)P. To answer the following questions you do not need to solve the DE. (a) Find the critical points and phase portrait of the DE. (Portraits without a proper justification for the arrows will get zero credit.) (b) Classify each critical point as asymptotically stable, unstable or semi-stable. (c) Sketch typical solution curves in the regions (in the xy, plane) determined bv the graphs of eauilibrium solutions.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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