Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

1. The model is planned to define population growth in a confined space. The excess of births on natural deaths causes a growth rate of a times the current number of individuals N. Competition for food causes deaths from starvation at a rate of bN2 . Use Stella to simulate the population growth assuming:

a. a = .05
b. b = .00001
c. N = 500 at time t=0

2. Suppose in problem 1 which a second species exists in the same space subject to a1 =.04, b1=.000015, and N1 =1,000 at time t=0. However interspecies fighting causes deaths to both species at a rate which is .000001 times the product of their numbers (.000001NN1). Extend the model and run Stella to plot the population dynamics for both species.

3. We reviewed a probable model for houses sold and air conditioners sold as follows:

H:  Number of households
y:   # of houses sold
x:  # of air conditioners sold

dy/dt = k1 (H - y)
dx/dt = k2 (y - x)

Suppose we wish to extend the model through considering the breakdown of air conditioners. Then a decay model, where it assumes the decay rate depends on current level needs to be added to the model to reduce the level x. Also suppose we no longer take the housing limit H to be fixed. We thus need to extend the model to include

dx/dt = k2 (y - x) - k3x
dH/dt = k4H

Draw the flow diagram, make the Stella model and experiment with different values of  and H.
k1, k2, k3, k4 and H

Math, Academics

  • Category:- Math
  • Reference No.:- M9918
  • Price:- $20

Guranteed 24 Hours Delivery, In Price:- $20

Have any Question? 


Related Questions in Math

A mall developer surveyed 500 customers yesterday to learn

A mall developer surveyed 500 customers yesterday to learn what they go shopping for at the mall. 320 customers said they shopped for clothes. 295 customers said they went shopping for electronics. 175 customers said the ...

Exploring different businessit alignment frameworks

Exploring different business/IT alignment frameworks, methodologies and tools: Architecture: Enterprise Architecture [TOGAF] Governance: Business Performance Management [Balanced Scorecard] IT Governance [COBIT, ITIL] Co ...

Chose a topic that we havent discussed yet this semester

Chose a topic that we haven't discussed yet this semester that you found to be enlightening, or informative, or just plain outta here! Research an article pertaining to the topic to strengthen your knowledge and "experti ...

An organization determines that the cost per person of

An organization determines that the cost per person of chartering a bus is given by the formula Cx=(250+7x)/x where x is the number of people in the group and C(x) is in dollars. Find a formula for the inverse of this fu ...

Find values of the trigonometric functions of the angle in

Find values of the trigonometric functions of the angle (in standard position) whose terminal side passes through the given point. (0.15,0.08) (Type an exact answer in simplified form.)

Sund intensity known as decibels d is calculated usingd

Sound intensity, known as decibels, d, is calculated using:d = 9.8log IaI is the intensity per unit of area. a is faintest audible sound of the average human ear. Find the decibels of a motorcycle that has a sound intens ...

1nbspan unknown radioactive element decays into

1. An unknown radioactive element decays into non-radioactive substances.In ' 1000' days the radioactivity of a sample decreases by '62' percent. (a) What is the half-life of the element? (b) How long will it take for a ...

What are the future and present value of an annuity of 100

What are the future and present value of an annuity of $100 payable atthe beginning of each quarter for 15 years if the interest rate is 12% compounded quarterly?

A rock is thrown from the top of a bridge its height above

A rock is thrown from the top of a bridge. It's height above the water is given by s(t)=96+80t-16t^2, where t is measured in second and s is measured in feet. a) Determine the velocity and the acceleration of the rock wh ...

A set solution concept for a family of bargaining games f

A set solution concept for a family of bargaining games F is a function ? associating every bargaining game (S, d) in F with a subset of S (which may contain more than a single point). Let f : R4 → R be a function. Defin ...

  • 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

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

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen