Network for Biological Invasions and Dispersal Research

MITACS Seminar at the University of New Brunswick, Fredericton

Thursday, 30 November, 2010,

Wendi Wang

of the School of Mathematics and Statistics, Southwest University, China

will speak on the

Influences of adaptive dispersal in competitive populations

3:30 PM, Tilley 223, University of New Brunswick, Fredericton

Abstract: Two mathematical models of two competitive populations with migrations between two patches are proposed. The first one  incorporates the dispersals produced by local competitive pressures. It is shown that the density-dependent migrations enhance the persistence of   the two competitive populations. Compared with constant  migrations, the dispersals from local competitive pressures  induce dramatic changes of dynamical behavior  of the model.  The second model assumesthat the migrations are regulated  by the attraction from a better patch with higher fitness, and that the migration probability of an individual is governed by the replication dynamics. It is proved that adaptations can change the spatial distributionof the two populations. When the intraspecific competition is stronger than  the interspecific competition in every patch, it is shown that the two populations achieve  an ideal spatial distribution through weak adaptations and exhibit periodic fluctuations for strong adaptations.