Uniform persistence and periodic solutions for a discrete predator–prey system with delays☆
By Xitao Yang. 2006
108 citations recorded by the source corpus.
Abstract In this paper, we deal with a discrete predator–prey system with delay. We first give a sufficient condition for the uniform persistence of the system. Assuming that the coefficients in the system are periodic, by generalizing the Yoshizawa's theorem on the existence of periodic solution for ordinary differential equations to the difference equations with delays, we obtain the existence of a periodic solution basing on the uniform persistence result.
Subfields: Applied Mathematics, Mathematical Physics, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/741bd8c586c8984289e59a367ed32f8b200fac1e
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In Applied Mathematics
In Mathematical Physics
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Stability, bifurcation analysis and chaos control for a predator-prey system (2018, background): “(Yang (2006)) Suppose that fung satisfies unþ1 un exp að1 bunÞ 1⁄2 with u0 4 0 and for all n 2 1⁄2n1,1Þ, where b denotes a positive constant.”
- Almost Periodic Solution of a Discrete Commensalism System (2015, unknown): “Lemma 1 (see [11]).”