Module Catalogues, Xi'an Jiaotong-Liverpool University   
Module Code: MTH307
Module Title: Population Dynamics
Module Level: Level 3
Module Credits: 5.00
Academic Year: 2020/21
Semester: SEM1
Originating Department: Mathematical Sciences
Pre-requisites: N/A
To provide a theoretical basis for the understanding of population ecology.

To develop mathematical models to simulate and predict the behaviour of biological ecosystems involving

(i) a single species, (ii) several interacting species
Learning outcomes 
A. Interpret the biological significance of the terms and parameters in a variety of population models of one species or several interacting species.

B. Analyse discrete-time and continuous-time dynamical models in order to predict future changes in an ecosystem.

C. Analyse how the behaviour of solutions of a model change as parameters are varied.

Method of teaching and learning 
This module will be delivered by a combination of formal lectures and tutorials.
Single species systems: Fundamental balance equations.

Exponential growth.

Intraspecific competition.

Relationship between continuous and discrete-time models.

Logistic, Hassell and other models.

Explicit time delays.

Stability triangle.

Cycles and the onset of chaos.

Age structure and Leslie matrices.

Multi-species systems: Community matrix.

Stability diagram for two species systems.

Interspecific competition and Gause's principle.

Toy models, limit cycles.

Global stability, the theorems and functions of Liapunov.

Predator-prey models, functional and numerical response.

Models of infectious diseases.

Host-parasitoid models.
Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 39     13      98  150 


Sequence Method % of Final Mark
1 Final Exam 85.00
2 Homework 15.00

Module Catalogue generated from SITS CUT-OFF: 6/5/2020 8:51:35 PM