Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

i need help understanding this please d_:1: (it p dt 0.15:: 0.0002332 0.000531; 0.023; 0.000083;2 0.000233; where :r 2 O and y 3 D, is

i need help understanding this please

image text in transcribed
d_:1: (it p dt 0.15:: 0.0002332 0.000531; 0.023; 0.000083;2 0.000233; where :r 2 O and y 3 D, is a model for two species (of size a: and y} that either compete for the same resources or cooperate for mutual benet (owering plants and insect pollinators, for instance). (a) In the absence of any interaction terms between the two species (terms depending on both a: and y}, what does the model predict? (b) Decide whether the system as written describes competition or cooperation, and explain why. (c) Algebraically determine the equilibria, and interpret each equilibrium in terms in terms of the population levels of both species. ((1) Complete a phase plane analysis. You should show the rst quadrant of the phase plane, with all the nullclines clearly indicated, all equilibria clearly indicated, direction arrows in each of the regions separated by the nullclines, and direction arrows on each of the nullclines (for example, as shown in Figure 9.2.6 in the pro-class materials). (e) Use the phase plane plotter found at http-s://aeb019.hosted.uark.edu/pplane.html to simulate possible solutions in the phase plane. For the best display, use the following inputs: minimum a: = 0, maximum 2: = 1000, minimum 1; = 0, max- imum y = 400, arrow length = 15, and number of arrows = 50. Then click on 'Graph Phase Plane', and then click your cursor on various initial conditions in the phase plane to see solutions in red. i. What is the outcome for any initial condition that does not have :r(0) = 0 or y(0) = 0? Interpret the outcome in terms of the population levels of both species. ii. Which of the equilibria are stable; which are unstable? iii. Submit a screenshot or picture of your result

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Simulation

Authors: Sheldon M Ross

6th Edition

0323899617, 9780323899611

More Books

Students also viewed these Mathematics questions

Question

1. Empirical or factual information,

Answered: 1 week ago

Question

1. To take in the necessary information,

Answered: 1 week ago