Positive almost periodic solutions for a predator-prey Lotka-Volterra system with delays

被引:1
|
作者
Ye, Yuan [1 ]
机构
[1] Yunnan Univ, Grad Sch, Kunming 650091, Yunnan, Peoples R China
关键词
Predator-prey Lotka-Volterra system; Almost periodic solutions; Coincidence degree; Delays; COMPETITION SYSTEMS; DIFFERENTIAL EQUATIONS; DISTRIBUTED DELAYS; DISPERSAL SYSTEM; INFINITE DELAY; PATCH SYSTEM; TIME-DELAY; PERMANENCE; STABILITY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, by using Mawhin's continuation theorem of coincidence degree theory sufficient conditions for the existence of positive almost periodic solutions are obtained for the predator-prey Lotka-Voltera competition system with delays {du(i)(t)/dt = u(i)(t)[a(i)(t) - Sigma(n)(l=1) a(il)(t)u(i)(t - sigma(il)(t)) - Sigma(m)(j=1) b(ij)(t)v(j)(t - tau(ij)(t))], i = 1, ... , n, dv(j)(t)/dt = v(j)(t) [ - r(j)(t) + Sigma(n)(l=1) d(jl)(t)u(i)(t - delta(jl)(t)) - Sigma(m)(h=1) e(jh)(t)v(h)(t - theta(jh)(t))], j = 1, ... , m, where a(i), r(j), a(il), b(ij), d(jl), e(jh) epsilon C(R, (0, infinity)), sigma(il), tau(ij), delta(jl), theta(jh) epsilon C(R, R) (i, l = 1, ... , n, j, h = 1, ... , m) are almost periodic functions.
引用
收藏
页码:1 / 12
页数:12
相关论文
共 50 条