Periodic solution of a neutral delay competition model |
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| Authors: | Li Yongkun |
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| Affiliation: | (1) Department of Mathematics, Yunnan University, 650091 Kunming, China |
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| Abstract: | In this paper, we use topological degree method to obtain the existence of a positive periodic solution of the neutral delay
competition model
![$$\left\{ \begin{gathered} u'(t) = r_1 (t)\left {1 - k_1 (t)u(t) - a(t)u(t - r_1 ) - \beta (t)u'(t - \tau _0 ) - c_1 (t)\upsilon (t - \tau _2 )} \right]_, \hfill \\ \upsilon '(t) = r_2 (t)\upsilon (t)\left {1 - c_2 (t)u(t - \tau _3 ) - k_2 (t)\upsilon (t - \tau _4 )} \right]_, \hfill \\ \end{gathered} \right.$$](/content/h0677255236k5486/10255_2007_Article_BF02669832_TeX2GIFIE1.gif)
where α, β, Γ{in1},k{in1},c{in1}k
i, ci (i=1,2) are positive continuous ω-periodic functions and τ{inj} (j=0,1,…,4) are nonnegative constants.
This work is supported by the ABF of Yunnan Province of China. |
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| Keywords: | Competition model neutral delay equations periodic solution topological degree |
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