II Southern-Summer School on Mathematical Biology

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Lecturers:—
Roberto Kraenkel – Institute for Theoretical Physics – São Paulo State University –Introduction to Population Biology

Christina Cobbold – School of Mathematics and Statistics – University of Glasgow (Scotland) – Spatial models in ecology
In Huffaker’s (1958) classical predator-prey experiments he demonstrated that in order for the two populations to coexist spatial refuges were required for the prey. This is one of several examples that motivate the spatial modelling discussed during these lectures. The lectures are designed to introduce students to approaches currently used to study spatio-temporal interactions in ecology.

Lecture 1: Overview of approaches to large scale spatial ecology; introduction to metapopulations; spatial implicit and explicit models.

Lecture 2: Individual movement and random walks; diffusion-advection equations; mean first passage time and critical patch size

Lecture 3: Invasion; spatio-temporal synchrony; pattern formation.

Lecture 4: Introduction to integrodifference equations; numerical solutions; applications.

Gabriela Gomes – Instituto Gulbenkian de Ciência (Oeiras-Portugal) – Mathematical Models and Control Strategies of Infectious Diseases (Course_PDF)

Cristina Banks-Leite and Ana I. Bento – Imperial College (London, UK) – –Advanced topics in population and community ecology and conservation:
1st lecture: basic modelling concepts, matrix population models, integral projection models (with examples)
2nd lecture: Spatially explicit populations models, metapopulation, epidemiology examples
3rd lecture: metacommunities, niche, neutral e phylogenetic approach to understanding community assembly
4th lecture: species extinction & viability, extinction debts, early warning signals (i.e. criticial slowing down, tipping points), consequences of species loss to ecosystem functioning.

Description: This school is aimed at graduate students in Physics, Mathematics, Ecology and Epidemiology, having at least a basic knowledge of calculus and differential equations. The first week will be a basic course on population biology, which is strongly based on  modeling exercises. The second week will consist of three advanced courses on up-to-date topics in ecology and epidemiology. It is possible to apply for participation either for one or two weeks. Undergraduate students with exceptional records are also encouraged to apply. Limited funds are available for travel and local expenses. There is no registration fee.

Please notice that acceptance cannot be taken for granted, as we expect a much higher number of applications than the maximum number of participants.  We advise the candidates to carefully complete the application form, providing enough information for the selection committee to take a decision.

In order to have a full idea of the kind of activities that take place during the course, please visit the home-page of the first edition of this school at http//www.ictp-saifr.org/mathbio.

Announcement

◊ List of Participants: PDF Version_updated on Jan 14

◊Accommodation: Participants whose accommodation has been arranged by the institute will stay at Pousada Zilah

◊ Registration: ALL participants should register. Participants who will stay at Pousada can do the registration procedure on Jan 20 from 5 to 8 pm. Participants who will stay at Pousada Zilah but will arrive later, can register on Jan 21 at the institute. The registration at the institute will be on Jan 21 from 8 to 9am and on Jan 28 from 1 to 2pm. Upon registration, please bring a copy of your ID or passport.

BOARDING PASS – All participants, whose travel has been provided by the institute, should bring the boarding pass upon registration, and collect an envelope to send the return boarding pass to the institute.

◊Ground transportation instruction:

From Guarulhos Airport to Pousada Zilah

From Congonhas Airport to Pousada Zilah

From Pousada Zilah to the institute

◊Upon arrival information: General Information sheet

Material for classes:

• lecture_1_13.pdf
• lecture_2_13.pdf
• lecture_3_13.pdf
• lecture_4_13.pdf
• lecture_5_13.pdf
• lecture_6_13.pdf

1st week’s project presentations:

• Mast Years
• Ecological effects on Lyme disease transmission
• Alternative states and hysteresis in shallow lakes
• Apex Consumers and Trophic Downgrading
• Paternal Care in a Tropical Arachnid
• Avian Malaria
• Coexistence between native and exotic plant species

ChristinaCobbold:

• Lecture 1 – Metapopulations
• Lecture 2 – Reaction-Diffusion Models
• Lecture 3 – Spatial Patterns
• Supplementary reference
• Lecture 4 – Integrodifference Equations

Ana I. Bento:

• Lecture 1 – Structured Populations and Matrix Models
• Lecture 2 – Matrix models and Integral Projection Models

Gabriela Gomes:

• Lecture 1 – Epidemiological thresholds and control strategies I: Field
• Lecture 2 – Epidemiological thresholds and control strategies II: Laboratory
• Lecture 3 – Disease epidemiology and evolutionary perspectives

Cristina Banks-Leite:

• Lecture 1 – Community assembly
• Lecture 2 – Species-Area Relations, Neutral Theory and Applications

Saturday’s Seminars:

• Gabriel Andreguetto Maciel -IFT/UNESP
  How individual response to habitat edges a ffects population persistence and spatial spread
• Ayana Martins ( Ecology Department/USP)
  Evolution and Stability of Ring Species
• Renato Mendes Coutinho
  A mechanistic framework for temperature effects on stage–structured populations

Student evaluations of school:

• Student evaluations of school
  

Photos of school:

• Photos  of school
  

◊Programme: PDF Version_updated on Jan 14 / Full view

II SOUTHERN-SUMMER SCHOOL ON MATHEMATICAL BIOLOGY

Programme