DEPARTMENT OF MATHEMATICAL & STATISTICAL SCIENCES
UNIVERSITY OF ALBERTA
  

MATHEMATICAL BIOLOGY SEMINAR
 

MONDAY, SEPTEMBER 30, 2002

3:00 PM

CAB 657
 

Dr. Frithjof Lutscher

Department of Mathematical and Statistical Sciences
University of Alberta

 

Survival in Fragmented Habitats

 

Matrix models have been applied successfully in ecology to describe the life cycle of organisms. Recently, spatially explicit models have become increasingly popular. Questions and concerns are how species survive in habitats which become increasingly fragmented or how reserves for endangered species should be designed. In this talk we connect the two modeling approaches and derive stage-structured integrodifference equations by introducing space and dispersal into matrix models. The analysis of such models is concerned with existence and stability of fixed points as well as the bifurcation behavior. Since spatially explicit models are quite complex in that they contain many parameters and require intensive computing power, we show how to approximate these spatially explicit models by modified matrix models, hence, relating the new models back to well-known concepts in ecology. Finally, we show that from these spatially explicit models one can derive metapopulation models and thereby provide a mechanistic underpinning for this spatially implicit approach in ecology