典型文献
BOUNDEDNESS AND ASYMPTOTIC STABILITY IN A PREDATOR-PREY CHEMOTAXIS SYSTEM WITH INDIRECT PURSUIT-EVASION DYNAMICS
文献摘要：
This work explores the predator-prey chemotaxis system with two chemicals{ut=Δu+x▽·(u▽v)+μ1u(1-u-α1w),x ∈Ω,t＞0,vt=Δv-α1v+β1w,x ∈,t＞0,wt=Δw-ξ▽·(w▽z)+μ2w(1+α2u-w),x ∈ Ω,t＞0,zt=Δz-α2z+β2u,x ∈ Ω,t＞0,in an arbitrary smooth bounded domain Ω?Rn under homogeneous Neumann boundary conditions.The parameters in the system are positive.We first prove that if n≤3,the corresponding initial-boundary value problem admits a unique global bounded classical solution,under the assumption that X,ξ,μi,ai,αiand βi(i=1,2)satisfy some suitable conditions.Subsequently,we also analyse the asymptotic behavior of solutions to the above system and show that·when a1＜1 and both μ1/x2 and μ2/ξ2 are sufficiently large,the global solution(u,v,w,z)of this system exponentially converges to(1-α-1/1+α1α2,β1(1+α2)/α1(1+α1α2),1+α2/1+α1α2,β2(1-α1)/α2(1+α1α2))ast→∞;·when a1＞1 and μ2/ξ2 is sufficiently large,the global bounded classical solution(u,v,w,z)of this system exponentially converges to(0,α1/β1,1,0)as t → ∞;·when a1=1 and μ2/ξ2 is sufficiently large,the global bounded classical solution(u,v,w,z)of this system polynomially converges to(0,α1/β1,1,0)as t → ∞.
文献关键词：
中图分类号：
作者姓名：
Shuyan QIU;Chunlai MU;Hong YI
作者机构：
School of Sciences,Southwest Petroleum University,Chengdu 610500,China;College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China;School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China
文献出处：
引用格式：
[1]Shuyan QIU;Chunlai MU;Hong YI-.BOUNDEDNESS AND ASYMPTOTIC STABILITY IN A PREDATOR-PREY CHEMOTAXIS SYSTEM WITH INDIRECT PURSUIT-EVASION DYNAMICS)[J].数学物理学报（英文版）,2022(03):1035-1057
A类：
BOUNDEDNESS,ASYMPTOTIC,PREDATOR,PREY,CHEMOTAXIS,INDIRECT,PURSUIT,EVASION,u+x,1v+,2z+,iand,ast,polynomially
B类：
AND,STABILITY,SYSTEM,WITH,DYNAMICS,This,work,explores,predator,prey,chemotaxis,system,two,chemicals,1u,1w,vt,wt,2w,1+,2u,zt,arbitrary,smooth,bounded,domain,Rn,under,homogeneous,Neumann,boundary,conditions,parameters,are,positive,We,first,prove,that,if,corresponding,initial,value,problem,admits,unique,global,classical,assumption,satisfy,some,suitable,Subsequently,we,also,analyse,asymptotic,behavior,solutions,above,show,when,a1,both,x2,sufficiently,large,this,exponentially,converges
AB值：
0.461622
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
