hw 6 - Calculus for the Life Science I MAT1330A , MAT1330B,...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Calculus for the Life Science I MAT1330A , MAT1330B, MAT1330E Assignment 6 Due date: Oct. 28 Instructor (circle one): Jing Li , Catalin Rada , Frithjof Lutscher DGD (circle one): 1 , 2 , 3 , 4 Student Name (printed): Student ID Number: Question 1 An animal species is described by the discrete dynamical system N i +1 = 1 . 5 N i (1 - N i ) - hN i , i = 0 , 1 , 2 , 3 ,..., where N i is the fraction of the maximal population after i years. h is the harvesting effort of the predators. a ) Find the equilibrium points. One of these points will depend of h . Equilibrium points : b ) Given the largest interval for h such that the equilibrium points in ( a ) have a biological meaning. Interval for h : c ) Find the equilibrium harvest R for this species as a function of h . R = d ) Determine the harvesting effort h that will maximize the equilibrium harvest. h = e ) Give the maximal equilibrium harvest. R
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/08/2010 for the course MATH MAT1330 taught by Professor Rad during the Spring '10 term at University of Ottawa.

Page1 / 2

hw 6 - Calculus for the Life Science I MAT1330A , MAT1330B,...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online