What is its growth constant

Assignment Help Mathematics
Reference no: EM132330879

Question - The populations of two countries, A and B, are assumed to grow according to the Malthusian model, Country A with growth constant k = 0.005 and Country B with growth constant k = 0.01. Let PA(t) and PB(t) denote the sizes of the two populations at time t.

(a) If the initial population sizes at some initial time t = 0 are 10000 for country A, and 2000 for Country B, when will the population sizes be the same?

(b) Give an example of an initial population size for A and an initial population size for B, such that the populations are never going to be the same size for any time t > 0.

(c) Prove that the ratio of the sizes of the populations,

R(t) = PA(t)/PB(t),

also obeys a Malthusian model. What is its growth constant?

Reference no: EM132330879

Questions Cloud

What price will the monopolist charge and what profits : Massive Products, Inc., is a monopolist whose cost of production is given by 10Q+Q2 (so its marginal cost curve-equivalently, its inverse supply curve
While for singapore it is not a concern : Why China may not follow such a rule, while for Singapore it is not a concern?
Nutritional guidelines such as usda food pyramid : If all macronutrients and micronutrients are vital to human health and are provided by nature, why do we need nutritional guidelines such as USDA Food Pyramid?
Causes and pathology of diabetes mellitus vs normal function : Endocrine and Exocrine. Diabetes Mellitus: describe the causes and pathology of diabetes mellitus vs normal function
What is its growth constant : Prove that the ratio of the sizes of the populations, R(t) = PA(t)/PB(t), also obeys a Malthusian model. What is its growth constant
The major type of cells of the lymphatic system : The major type of cells of the lymphatic system and state their functions. Compare and contrast: Antibodies; the structure, types, and actions
Changes on wages and employment in a occupation : What is the impact of the following changes on wages and employment in a given occupation:
Charging more for hardcover books : Is an editor practicing a price discrimination by Charging more for hardcover books than paperback books because the cost of producing hardcover books is higher
How is the context expressed through the piece : How is the "context" expressed through the piece? What aspects of the piece reflect the possible context? Does knowing the context of the piece change

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd