| 具投放的中立型时滞竞争扩散系统正周期解的存在性 |
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| 引用本文： | 房辉,王志成.具投放的中立型时滞竞争扩散系统正周期解的存在性[J].数学物理学报(A辑),2008,28(4):719-730. |
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| 作者姓名： | 房辉 王志成 |
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| 作者单位： | [1]昆明理工大学理学院,昆明650093 [2]湖南大学应用数学系,长沙410082 |
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| 摘 要： | 利用Nussbaum 度理论建立了具投放的中立型时滞竞争扩散系统
x′1(t)=x1(t)a1(t)-b1(t)x1(t)-c1(t)y(t) ]+D1(t)x2(t)-x1(t)]+S1(t), x′2(t)=x2(t)a2(t)-b2(t)x2(t)]+D2(t)x1(t)-x2(t) ]+S2(t),
y′(t)=y(t)a3(t)-b3(t)y(t)-α(t)y(t-τ1(t))-β(t) ∫0τ k(s)y(t+s)ds -γ(t)y’(t-τ2(t))-c3(t)x1(t)].
存在正周期解的一个充分条件.
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| 关 键 词： | Nussbaum 度 正周期解 中立型时滞竞争模型 扩散 投放 |
| 收稿时间： | 2006-03-15 |
| 修稿时间： | 2008-01-09 |
Existence of Positive Periodic Solutions of a Neutral Delay Competition Model with Diffusion and Stock |
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Fang Hui,Wang Zhicheng
.Existence of Positive Periodic Solutions of a Neutral Delay Competition Model with Diffusion and Stock[J].Acta Mathematica Scientia,2008,28(4):719-730. |
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| Authors: | Fang Hui Wang Zhicheng
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| Institution: | (Faculty of Science, Kunming University of Science and Technology, Kunming 650093) |
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| Abstract: | By means of Nussbaum degree theory, a sufficient condition is established for the existence of positive periodic solutions of a neutral delay competition model with diffusion and stock
x′1(t)=x1(t)a1(t)-b1(t)x1(t)-c1(t)y(t) ]+D1(t)x2(t)-x1(t)]+S1(t), x′2(t)=x2(t)a2(t)-b2(t)x2(t)]+D2(t)x1(t)-x2(t) ]+S2(t),
y′(t)=y(t)a3(t)-b3(t)y(t)-α(t)y(t-τ1(t))-β(t) ∫0τ k(s)y(t+s)ds -γ(t)y’(t-τ2(t))-c3(t)x1(t)]. |
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| Keywords: | Nussbaum degreezz Positive periodic solutionzz Neutral delay competition modelzz Diffusionzz Stockzz |
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