Competition systems with Dirichlet boundary conditions
Copyright policy )Competition systems with Dirichlet boundary conditions
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.
Asymptotic behavior of solutions to PDEs, Volterra competition models, integro-differential equations, Dirichlet boundary conditions, attracting subsets, monotone methods, Population dynamics (general), Nonlinear parabolic equations, Systems of parabolic equations, boundary value problems, boundary conditions of third kind, Stability in context of PDEs, equilibrium solutions
Asymptotic behavior of solutions to PDEs, Volterra competition models, integro-differential equations, Dirichlet boundary conditions, attracting subsets, monotone methods, Population dynamics (general), Nonlinear parabolic equations, Systems of parabolic equations, boundary value problems, boundary conditions of third kind, Stability in context of PDEs, equilibrium solutions
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