Population dynamics simulation

Assignment Help Mathematics

Reference no: EM13129884

Do the following dynamic simulation problem:

1. The following model is proposed to describe population growth in a confined space. The excess of births over 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 bN^2 . Simulate the population growth assuming:

a. a = 0.05

b. b = 0.00001

c. N = 500 at time t=0

2. Assume in problem 1 that a second species exists in the same space subject to a1=0.04, b1=0.000015, and N1=1,000 at time t=0. However interspecies fighting causes deaths to both species at a rate that is 0.000001 times the product of their numbers (0.000001N(N1) ). Extend the model to plot the population dynamics for both species.

Reference no: EM13129884

Questions Cloud

Computing monthly finance charge for credit card : Calculate the monthly finance charge for the credit card transaction. Assume that it takes 10 days for a payment to be received and recorded, and that the month is 30 days long.

Evaluate the logic of reflecting key person life insurance : evaluate the logic of reflecting key person life insurance in the operating activities of the cash flow statement and determine if this presentation is misleading to users of the financial statements.

What effect would purchase of the new machine : Mueller can buy a newer production machine that will increase fixed costs by $8,000 per year, but will decrease variable costs by $0.40 per unit. What effect would purchase of the new machine have on Mueller's break-even point in units?

Net cash used in financing activities : In Xan's Year 2 statement of cash flows, net cash used in financing activities should be:

Population dynamics simulation : The following model is proposed to describe population growth in a confined space. The excess of births over natural deaths causes a growth rate of a times the current number of individuals N.

Illustrate what is the net realizable value : Manda Panda anticipates that 2.5% of all credit sales will ultimately become uncollectible. The fiscal year ends on December 31. Illustrate what is the net realizable value (book value) Manda Panda should report in its 2011 balance sheet?

Determine the adjustment to income due to the change : Determine the adjustment to income due to the change in accounting method and the amount that is allocated to 2005.

How much nh3 is produced : CaCN2 + 3 H2O → CaCO3 + 2 NH3 . How much NH3 is produced if 187 g of CaCO3 are produced?

Prepare the balance sheet - mastering inventory : On December 3, HuCo purchases merchandise for $47,000 on account, F.O.B. destination. Freight charges are $800. On December 26, HuCo pays the vendor $14,000. On HuCo's December 31 balance sheet the accounts payable balance will be

User Account

All Pages