Multiple periodic solutions for a discrete time model of plankton allelopathy

被引：0

作者：

Jianbao Zhang

Hui Fang

机构：

[1] Kunming University of Science and Technology,Center for Nonlinear Science Studies

来源：

Advances in Difference Equations | / 2006卷

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis; Periodic Solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a discrete time model of the growth of two species of plankton with competitive and allelopathic effects on each other N1(k+1) = N1(k)exp{r1(k)-a11(k)N1(k)-a12(k)N2(k)-b1(k)N1(k)N2(k)}, N2(k+1) = N2(k)exp{r2(k)-a21(k)N2(k)-b2(k)N1(k)N1(k)N2(k)}. A set of sufficient conditions is obtained for the existence of multiple positive periodic solutions for this model. The approach is based on Mawhin's continuation theorem of coincidence degree theory as well as some a priori estimates. Some new results are obtained.

引用

共 18 条

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[9]

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[10]

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