Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7221931 | Nonlinear Analysis: Real World Applications | 2018 | 21 Pages |
Abstract
This paper is concerned with the spreading speeds and transition waves of the following two species competition system in time heterogeneous media, ut=Îu+u(a1(t)âb1(t)uâc1(t)v),vt=Îv+v(a2(t)âb2(t)uâc2(t)v),xâRN,tâR,where ai(â
),bi(â
),ci(â
)(i=1,2) depend in a general way in tâR. The notion of transition waves for such a system is first introduced in this paper. We first establish the lower bounds of spreading speed intervals and generalized spreading speed intervals. It then shows that, under certain conditions, there exists a pair of general transition waves (u(t,x),v(t,x)) connecting two semitrivial solutions of this system for a given class of speed c(t) with c̲>câ
and for any c̲
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Engineering (General)
Authors
Xiongxiong Bao,