Solved by Expert Tutors
Solved by Expert Tutors
Question

'competitive systems" . Here x(t) and y(t) are populations of two species which compete (so an interaction between the members of the species tend to slow the growth of both species)

dx/dt =2x(1-x/3) -xy

dy/dt = y -xy


a.) what is the equilibrium points for the system?


b.) The direction field below for this system. Sketch the solutions with initial conditions A and B as marked and draw the x(t) and y(t) graphs.Screen Shot 2020-03-20 at 5.35.46 AM.png

c.) Do you think this model satisfy the "competitive exclusion principle" of ecology?

Screen Shot 2020-03-20 at 5.35.46 AM.png

Step-by-step answer

The student who asked this found it Helpful

fficitur laoree




ec facoxo,ec faclot,tgue v,,ec facxgue vtoec facur laoreet. Nam risus ante, dapibu




ec facoxoiec faclogue vtoec facicitur laoreet. Nam risus ante, dapibus a





ec fac


m risus ante, dapibus a molestie co




ec facoxo,ec facl0sot,tgue v,,ec facxgue vtol0ec facDonec aliquet. Lorem ips



ec facoxoiec facl0sogue vtol0ec facec facilisis. Pellentesque dapib



iscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante,

ec faco,tgue vtxl0ec facgue vel laoreet ac, dictum vitae


ec facol,iec facec facinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapi

ctum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lacinia pulvinar tort

ec aliquet. Lorem ipsum



ec facacinia,xxec facxlxec facl,0x0xx,xlec facxllec facxl,tx0x,xxec facxlxec facxl,tx,iec facxec fac



ctum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipisc


sum do



or nec facilisis. Pellentesque dapibus effiec fac,0ttx0ttxec faconec aliquet. Lorem ipsum dol

Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum

ec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lacinia pulv

Fusce dui lectus, con






ipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficit

a molestie consequat, ultrices ac magna. Fusce dui lectus, congue vel laoreet ac,

m risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus, congue

acinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet.



sque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequa


rem i



a molestie consequat, ultrices ac magna. Fusce dui lectus, congue vel laoreet ac, dictum vit

entesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lect

onec aliquet. Lorem ipsum dolor sit amet,





tesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat

e vel laoreet ac, dictum vitae odio. Donec aliquet. Lo



ctum vitae odio. Donec ali


, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing eli

ongue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur a

llentesque

sque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fu

icitur

molestie consequ

icitur laoreet. Nam risu

at, ultrices ac

, consectetu

Donec aliquet. Lorem ipsum dolor sit

icitur

m risus ante, da

sus ante, dapibus a moles

at, ultrices ac

usce dui lec

Donec aliquet. Lorem ipsum dolor sit

icitur

ipiscing elit. Nam l

or nec facilisis. Pellentesque dapibus

lestie cons

usce dui lec

Donec aliquet. Lorem ipsum dolor sit

amet, consectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pelle



dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit a


icitur laoreet. Nam risus ante, dapibus a molestie consequ



fficitur laoreet. Nam risus ante, dapibus a molest


Donec al

acinia pulvi


nec facilisis.




ec facoxo,ec faclot,tgue v,,ec facxgue vtoec facur laoreet. Nam risus ante, dapibu




ec facoxoiec faclogue vtoec facicitur laoreet. Nam risus ante, dapibus a





ec fac


m risus ante, dapibus a molestie co




ec facoxo,ec facl0sot,tgue v,,ec facxgue vtol0ec facDonec aliquet. Lorem ips



ec facoxoiec facl0sogue vtol0ec facec facilisis. Pellentesque dapib



iscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante,

ec faco,tgue vtxl0ec facac, dictum vitae odio. Donec aliq


ec facol,iec facec facinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapi

, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lacinia pulvinar t

ec aliquet. Lorem ipsum



ec facacinia,xxec facxlxec facl,0x0xx,xlec facxllec facxl,tx0x,xxec facxlxec facxl,tx,iec facxec facl



ctum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipisc


sum do



or nec facilisis. Pellentesque dapibus effiec fac,0ttx0ttxec faconec aliquet. Lorem ipsum dol

ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing

ec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lacinia pulv

Fusce dui lectus, con



phase_diagram_A.jpg



ipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficit

a molestie consequat, ultrices ac magna. Fusce dui lectus, congue vel laoreet ac,

m risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus, congue

acinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet.


phase_diagram_B.jpg

sque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequa


rem i



a molestie consequat, ultrices ac magna. Fusce dui lectus, congue vel laoreet ac, dictum vit

entesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lect

onec aliquet. Lorem ipsum dolor sit amet,





tesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat

e vel laoreet ac, dictum vitae odio. Donec aliquet. Lo



ctum vitae odio. Donec ali


, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing eli

ongue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur a

llentesque

sque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fu

icitur

molestie consequ

icitur laoreet. Nam risu

at, ultrices ac

, consectetu

Donec aliquet. Lorem ipsum dolor sit

icitur

m risus ante, da

sus ante, dapibus a moles

at, ultrices ac

usce dui lec

Donec aliquet. Lorem ipsum dolor sit

icitur

ipiscing elit. Nam l

or nec facilisis. Pellentesque dapibus

lestie cons

usce dui lec

Donec aliquet. Lorem ipsum dolor sit

amet, consectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pelle



dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit a


icitur laoreet. Nam risus ante, dapibus a molestie consequ



fficitur laoreet. Nam risus ante, dapibus a molest


Donec al

phase_diagram_A.jpg
r

Subscribe to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Let our 24/7 Differential Equations tutors help you get unstuck! Ask your first question.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes