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Bilocal mathematical model of population community: symmetric case
by
F. Berezovskaya
Mathematics Departments, Howard University, Washington DC
Coauthors: N.Davydova, Utrecht University, Netherlands,
S.Wirkus, Arizona State University, Glendale, AZ
By methods of qualitative theory of ODE and theory bifurcations we analyze the dynamics of the community consisting of two `identical` predator-prey systems affected by prey quasi-diffusion migrations; the Allee effect is incorporated in each prey population . We show that the model community can persist with parameter values for which a‘separate’ population system goes to extinction. We investigate the dynamics of coexistence, and in particular show that the model community can either exist in steady state or with periodic/chaotic oscillations, or realize extinction depending on initial densities.
Date received: February 15, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caws-48.