Permanence for the Discrete Competition Model with Infinite Deviating Arguments

被引:7
作者
Chen, Baoguo [1 ]
机构
[1] Fuzhou Univ Int Studies & Trade, Res Ctr Sci Technol & Soc, Fuzhou 350202, Fujian, Peoples R China
关键词
SPECIES COOPERATION SYSTEM; CONTINUOUS-TIME DELAYS; MUTUALISM MODEL; INTEGRODIFFERENTIAL MODEL;
D O I
10.1155/2016/1686973
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Sufficient conditions are obtained for the permanence of the following discrete model of competition: x(1)(k + 1) = x(1)(k)exp{r(1)(k)[K-1(k) + alpha(1)(k) Sigma(+infinity)(s=0) J(2)(s)x(2)(k - s))/1 + Sigma(+infinity)(s=0) J(2)(s)x(2)(k - s)) - x(1) (k - delta(1)(k))]]; x(2)(k + 1) = x(2)(k)exp [r(2)(k) [K-2(k) + alpha(2)(k) Sigma(+infinity)(s=0) J(2)(s)x(2)(k - s))/(1 + Sigma(+infinity)(s=0) J(1)(s)x(2)(k - s)) - x(2)(k - delta(2)))]} where r(i), K-i, alpha(i), J(i), and delta(i), i = 1,2 are nonnagative sequences bounded above and below by positive constants, and K-i > alpha(i,) i =1,2.
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页数:5
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