NDLI: Global dynamics of the Lotka–Volterra competition–diffusion system with equal amount of total resources, II

Content Provider	Springer Nature Link
Author	Ni, Wei Ming He, Xiaoqing
Copyright Year	2016
Abstract	Part II of this series of three papers, we focus on the joint effects of diffusion and spatial concentration on the global dynamics of a classical Lotka–Volterra competition–diffusion system. For comparison purposes, we assume that the two species have identical competition abilities and the same amount of total resources throughout this paper. Part II is devoted to the case that the spatial distribution of resources for one species is heterogeneous while that of the other is homogeneous. Our results imply that in this case not only is the former guaranteed to survive, in fact, it will often wipe out the latter, regardless of initial values. Asymptotic behaviors of the stable steady states are also obtained for various limiting cases of the diffusion rates.
Ending Page	20
Page Count	20
Starting Page	1
File Format	PDF
ISSN	09442669
e-ISSN	14320835
Journal	Calculus of Variations and Partial Differential Equations
Issue Number	2
Volume Number	55
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-02-26
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Dependence of solutions on initial and boundary data, parameters Population dynamics (general) Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Theoretical, Mathematical and Computational Physics Boundary value problems for second-order elliptic systems Asymptotic behavior of solutions
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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