一、引言考虑中立型时滞Lotka-Volterra系统 （t）=N（t）[ai-sum from j=1 to n bijNi(t—τij)-sum from j=1 to n cij(t-σij)],i=1,2,…,n,（E）其中τij,σij∈（0,∞）,a,bij,cij∈R,i,j=1,2,…,n,对正常数平衡点N*的稳定性和振...一、引言考虑中立型时滞Lotka-Volterra系统 （t）=N（t）[ai-sum from j=1 to n bijNi(t—τij)-sum from j=1 to n cij(t-σij)],i=1,2,…,n,（E）其中τij,σij∈（0,∞）,a,bij,cij∈R,i,j=1,2,…,n,对正常数平衡点N*的稳定性和振动性。展开更多
In this paper, we will concern the existence, asymptotic behaviors and stability of forced pulsating waves for a Lotka-Volterra cooperative system with nonlocal effects under shifting habitats. By using the alternativ...In this paper, we will concern the existence, asymptotic behaviors and stability of forced pulsating waves for a Lotka-Volterra cooperative system with nonlocal effects under shifting habitats. By using the alternatively-coupling upper-lower solution method, we establish the existence of forced pulsating waves, as long as the shifting speed falls in a finite interval where the endpoints are obtained from KPP-Fisher speeds. The asymptotic behaviors of the forced pulsating waves are derived. Finally, with proper initial, the stability of the forced pulsating waves is studied by the squeezing technique based on the comparison principle.展开更多
文摘一、引言考虑中立型时滞Lotka-Volterra系统 （t）=N（t）[ai-sum from j=1 to n bijNi(t—τij)-sum from j=1 to n cij(t-σij)],i=1,2,…,n,（E）其中τij,σij∈（0,∞）,a,bij,cij∈R,i,j=1,2,…,n,对正常数平衡点N*的稳定性和振动性。
文摘In this paper, we will concern the existence, asymptotic behaviors and stability of forced pulsating waves for a Lotka-Volterra cooperative system with nonlocal effects under shifting habitats. By using the alternatively-coupling upper-lower solution method, we establish the existence of forced pulsating waves, as long as the shifting speed falls in a finite interval where the endpoints are obtained from KPP-Fisher speeds. The asymptotic behaviors of the forced pulsating waves are derived. Finally, with proper initial, the stability of the forced pulsating waves is studied by the squeezing technique based on the comparison principle.
