## Grad Seminar: Modeling a Biological Invasion by Integrodifference Equation

Author: UNB

Posted on Nov 25, 2013

Category: Seminars and Colloquia

#### Graduate Seminar

Modeling a Biological Invasion by Integrodifference Equation

##### Ali Gharouni (UNB)

##### Thursday, October 3, 2013 at 3:30 pm

##### Tilley Hall Room 224

An integrodifference equation model is one of several types of mathematical models (ODE, PDE, delay, stochastic,…) that are used to study and predict the dynamics of a biological invasion. Integrodifferences incorporate models for the local demography and the dispersal of a population in a discrete time and continuous space. It has been proven that this category of models produce a particular solution known as a “travelling wave solution”. The speed of the generated wave is interpreted as the invasion speed. In this talk, I discuss some mathematical results for intergrodifference equations and use as an example the “European green crab invasion”, which was my motivation of doing research on this type of models.