Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

1) The first order system

dx/dt = x(1 − 0.5x − 0.5y),
dy/dt= y(−0.25 + 0.5x)

can be interpreted as describeing interaction of two species with population densities x and y. Perform the steps given below:

(i) Determine the critical points.

(ii) For each critical point determine corresponding linear system.

(iii) Determine the eigen values and eigen vectors of linear systems.

(iv) Categorize each critical point as to kind and find out whether it is asymptotically stable, stable or unstable.

(v) Draw the trajectories in neighbourhood of each critical points.

(vi) Sketch the phase portrait.

Math, Academics

  • Category:- Math
  • Reference No.:- M914631

Have any Question? 


Related Questions in Math

The amount of contamination remaining in two different

The amount of contamination remaining in two different wells t days after a chemical spill, in parts per billion (ppb), is given by r(t)=350(0.94)t and s(t)=550(0.91)t. Solve the equation so that they are set equal to ea ...

An ethical analysis about philip morriss dont be maybe be

An ethical analysis about Philip Morris's "Don't be maybe, Be Marlboro" marketing campaign . You should analyse in terms of Stakeholder Analysis, Caroll's Pyramid, Utilitarianism, Deontology and Virtue Ethics. Most impor ...

A bond with a face value of 1000 and 15 years remaining

A bond with a face value of $1000 and 15 years remaining untilmaturity pays a coupon rate of 10% semi-annually. Calculate its yield to maturity if it is priced at $1100.

Find the values of the indicated functions given cot theta

Find the values of the indicated functions. Given cot θ =0.7350, find csc θ and sec θ. (Do not round until the final answer. Then round to three decimal places as needed.)

In a 150-300 word post discuss ways leaders and managers

In a 150-300 word post, discuss ways leaders and managers can create a servant leadership mentality in an organization. What are the pros and cons of servant leadership? Resources Textbook: Leading Change in your World T ...

In 450 words with referenceshow would you describe apples

In 450 words with references: How would you describe Apple's (or United Way) brand strategy? Discuss other brand strategies marketers use to develop brand loyalty. Give a detailed description of what in involved with the ...

Assignment1a use the midpoint rule with n 4 subintervals

Assignment (1) (a) Use the Midpoint Rule with n = 4 subintervals to estimate The width of each interval is: (b) Use the Error Bound to find the bound for the error When using the Midpoint Rule, the Error Bound is: (c) Co ...

Geometry math discussion questionspart 1 discussion

Geometry Math Discussion Questions Part 1 DISCUSSION QUESTIONS 1. Triangle LMP has coordinates L (3,4), M (6,6), and P (5, 5). A translation maps point L to L' at (7, -4). Find the coordinates for M', and for P', for thi ...

If the present value of an annuity due of 400 payable

If the present value of an annuity due of $400 payable semi-annually is$5600 and interest is computed at 6% compounded semi-annually, what is the number of payments?

Your goal is to describe the details of a more-or-less

Your goal is to describe the details of a more-or-less feasible business in the renewable energy or more general sustainability sector. Do not propose a major enterprise: propose something that is feasible (or close to f ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro