Numerical Methods for a Two-Species Competition-Diffusion Model with Free Boundaries
نویسندگان
چکیده
منابع مشابه
A Two - Species Competition Model
We consider a two-type stochastic competition model on the integer lattice Z. The model describes the space evolution of two “species” competing for territory along their boundaries. Each site of the space may contain only one representative (also referred to as a particle) of either type. The spread mechanism for both species is the same: each particle produces offspring independently of other...
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(1) ∂tu = k1∆u + uf(x, u, v), x ∈ Ω, ∂tv = k2∆v + vg(x, u, v), x ∈ Ω, Bu = Bv = 0, x ∈ ∂Ω, on a C2 bounded domain Ω ⊂ Rn with either Dirichlet or Neumann boundary conditions. Here u(x, t), v(x, t) are the densities of two competing species, k1, k2 are diffusion constants (called dispersal rates in the ecological literature), and f, g are smooth functions on Ω̄× R× R satisfying (H1) f(x, ...
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We consider a two-type stochastic competition model on the integer lattice Z. The model describes the space evolution of two “species” competing for territory along their boundaries. Each site of the space may contain only one representative (also referred to as a particle) of either type. The spread mechanism for both species is the same: each particle produces offspring independently of other...
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In this paper, the author proposed and considered a reaction-diffusion equation with diffusion terms and stage structure. We discussed the stability of the positive equilibrium. By using the upper-lower solutions and monotone iteration technique, we obtained the zero steady state and the boundary equilibrium were linear unstable and the unique positive steady state was globally asymptotic stabi...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2018
ISSN: 2227-7390
DOI: 10.3390/math6050072