The Experts below are selected from a list of 291 Experts worldwide ranked by ideXlab platform
Donal Oregan - One of the best experts on this subject based on the ideXlab platform.
-
Asymptotic Behavior of a stochastic population model with allee effect by levy jumps
Nonlinear Analysis: Hybrid Systems, 2017Co-Authors: Qiumei Zhang, Daqing Jiang, Yanan Zhao, Donal OreganAbstract:Abstract This paper presents the analysis of Asymptotic Behavior of a stochastic population model with Allee effect by Levy jumps. The criteria of the Asymptotic Behavior for this perturbed model is given via using Lyapunov analysis methods. Numerical simulations for a set of parameter values are presented to illustrate the analytical findings.
Mingxin Wang - One of the best experts on this subject based on the ideXlab platform.
-
existence uniqueness and Asymptotic Behavior of traveling wave fronts for a vector disease model
Nonlinear Analysis-real World Applications, 2010Co-Authors: Mingxin WangAbstract:Abstract This paper is concerned with the existence, uniqueness and Asymptotic Behavior of traveling wave fronts for a vector disease model. We first establish the existence of traveling wave fronts by using geometric singular perturbation theory. Then the Asymptotic Behavior and uniqueness of traveling wave fronts are obtained by using the standard Asymptotic theory and sliding method. In addition, our method is also suitable to establish the uniqueness and Asymptotic Behavior of traveling wave fronts for a cooperative system.
Qiumei Zhang - One of the best experts on this subject based on the ideXlab platform.
-
Asymptotic Behavior of a stochastic population model with allee effect by levy jumps
Nonlinear Analysis: Hybrid Systems, 2017Co-Authors: Qiumei Zhang, Daqing Jiang, Yanan Zhao, Donal OreganAbstract:Abstract This paper presents the analysis of Asymptotic Behavior of a stochastic population model with Allee effect by Levy jumps. The criteria of the Asymptotic Behavior for this perturbed model is given via using Lyapunov analysis methods. Numerical simulations for a set of parameter values are presented to illustrate the analytical findings.
Julio D Rossi - One of the best experts on this subject based on the ideXlab platform.
-
Asymptotic Behavior for nonlocal diffusion equations
Journal de Mathématiques Pures et Appliquées, 2006Co-Authors: Emmanuel Chasseigne, Manuela Chaves, Julio D RossiAbstract:We study the Asymptotic Behavior for nonlocal diffusion models of the form ut=J∗u−u in the whole RN or in a bounded smooth domain with Dirichlet or Neumann boundary conditions. In RN we obtain that the long time Behavior of the solutions is determined by the Behavior of the Fourier transform of J near the origin, which is linked to the Behavior of J at infinity. If Jˆ(ξ)=1−A|ξ|α+o(|ξ|α) (0<α⩽2), the Asymptotic Behavior is the same as the one for solutions of the evolution given by the α/2 fractional power of the Laplacian. In particular when the nonlocal diffusion is given by a compactly supported kernel the Asymptotic Behavior is the same as the one for the heat equation, which is yet a local model. Concerning the Dirichlet problem for the nonlocal model we prove that the Asymptotic Behavior is given by an exponential decay to zero at a rate given by the first eigenvalue of an associated eigenvalue problem with profile an eigenfunction of the first eigenvalue. Finally, we analyze the Neumann problem and find an exponential convergence to the mean value of the initial condition.
-
Asymptotic Behavior for nonlocal diffusion equations
Journal de Mathématiques Pures et Appliquées, 2006Co-Authors: Emmanuel Chasseigne, Manuela Chaves, Julio D RossiAbstract:We study the Asymptotic Behavior for nonlocal diffusion models of the form ut=J∗u−u in the whole RN or in a bounded smooth domain with Dirichlet or Neumann boundary conditions. In RN we obtain that the long time Behavior of the solutions is determined by the Behavior of the Fourier transform of J near the origin, which is linked to the Behavior of J at infinity. If Jˆ(ξ)=1−A|ξ|α+o(|ξ|α) (0
Herbert Stahl - One of the best experts on this subject based on the ideXlab platform.
-
On regular nth root Asymptotic Behavior of orthonormal polynomials
Journal of Approximation Theory, 1991Co-Authors: Herbert StahlAbstract:Abstract Let μ be a positive measure with compact support on R. We consider the nth root Asymptotic Behavior of orthonormal polynomials associated with the measure μ. The main result consists of two theorems: (i) a characterization and (ii) a localization theorem. In the first theorem regular nth root Asymptotic Behavior on a subset of the support of the measure μ is compared with the Asymptotic Behavior of other polynomial sequences, and equivalences between the different types of Behavior are proved. In the second theorem the Asymptotic Behavior of the original orthonormal polynomials is characterized by the Asymptotic Behavior of polynomials orthonormal with respect to restrictions of the measure μ.
