and determine conditions for their local asymptotic stability: dP p2 BP(1 – P) - Z - | dt + p2 dZ p? - -). %3D dt + p2 1004)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
8
24. For the following phytoplankton-zooplankton model, find all of the equilibria
and determine conditions for their local asymptotic stability:
dP
p2
BP(1 - P) - 7
-
dt
+ p2
dZ
p?
= y2
dt
v2 + p2
There are at most threc nonnegative cquilibria (sce Truscott and Brindley, 1994).
Transcribed Image Text:24. For the following phytoplankton-zooplankton model, find all of the equilibria and determine conditions for their local asymptotic stability: dP p2 BP(1 - P) - 7 - dt + p2 dZ p? = y2 dt v2 + p2 There are at most threc nonnegative cquilibria (sce Truscott and Brindley, 1994).
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