ISSN:
1432-1416
Keywords:
Volterra competition models
;
Semilinear parabolic systems
;
Monotone methods
;
Attracting subsets
;
Integro-differential equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract A class of semilinear parabolic systems describing competing species is investigated with homogeneous Dirichlet or boundary conditions of the third kind; existence and attractivity properties of equilibrium solutions are proved by monotonicity methods. Attractive invariant subsets are shown to exist in a suitable function space, which in particular cases shrink down to a unique point. The outlined situation holds true even for a related class of parabolic integro-differential systems, provided the effect of the delay is small in a suitable sense.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00275791
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