HC 399/MTH 399H
Introduction to Mathematical Ecology
Lab 6: Phase Plane Analysis of Ordinary Dierential Equations
Instructions: Log onto Blackboard. Under Course documents and then Week 6
download the
HC 399/MTH 399H
Introduction to Mathematical Ecology
Metapopulation Dynamics
Discussion of Metapopulation Dynamics by I. Hanski. Topics/Questions for discussion:
1. What is Levins denition of a metapo
HC 399/MTH 399H
Introduction to Mathematical Ecology
Lab 8: Parameter Identication: A Competition Model
Instructions: Log onto Blackboard. Under Course documents and then Week 8
download the le pid.zi
Graham Wilkinson
Lab 7
Task 1
Task 2
A dt larger than about 0.286 is immediately unstable, giving very large results which cannot be shown
in the same plot as these stable versions.
Task 3
The solutio
HC 399/MTH 399H
Introduction to Mathematical Ecology
Lab 7: Solving Ordinary Dierential Equations in MATLAB
The ODE SUITE
The goal of this lab is to learn to use MATLABs built-in numerical solvers to
7.
Introduction to PPLANE6
A planar system is a system of differential equations of the form
x =f (t, x, y),
y =g(t, x, y).
(7.1)
The variable t in system (7.1) usually represents time and is called t
HC 399/MTH 399H
Introduction to Mathematical Ecology
Lab 5: Qualitative Analysis of Dierential Equations
Direction Fields and Phase Portraits
Instructions: Log onto Blackboard. Under Course documents
HC 399/MTH 399H
Introduction to Mathematical Ecology
Lab 4: Simulating Systems of Discrete Equations
Nullclines, Equilibria, Phase Portraits and Time Series Plots
Goal: To study the behavior of system
15 Oct 09 - McEvoy. Exploring the Nicholson Bailey Model using Mathcad 8 - Based on Hassell's
'Spatial and Temporal Dynamics of Host-Parasitoid Interactions' Chapter 2
Coupled host-parasitoid interact
Task A.
1.
4
2.
3
3.
[1;3]
4.
[-0.7071 ; 0.7071] = [-1/sqrt(2); 1/sqrt(2)]
Task B
Answer is recorded as zero because the values became smaller than machine epsilon and cannot be stored.
The : oper
Graham Wilkinson
Lab 3
Task A.
1. 4
2. 3
3. [1;3]
4.
[-0.7071 ; 0.7071] = [-1/sqrt(2); 1/sqrt(2)]
Task B
Answer is recorded as zero because the values became smaller than machine epsilon and cannot be
HC 399/MTH 399H
Introduction to Mathematical Ecology
Lab 2: Simulating Discrete Equations
Equilibria, Cobwebbing, and Bifurcation Diagrams
Instructions: Log onto Blackboard. Under Course documents and
HC 399/MTH 399H
Introduction to Mathematical Ecology
Week 1: Introduction to Modeling in Ecology
Discussion of An Introduction to the Practice of Ecological Modeling by Jackson et.
al. Topics/Question
HC 399/MTH 399H
Introduction to Mathematical Ecology
Final Group Project Description
Selection of the Final Project
For the Final project each group should pick a topic either from among the choices t