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具有Holling-(n+1)型功能反应的三维离散捕食系统的永久持续生存性和周期性 被引量:2

Permanece and Reriodicity for a Three-dimensional Discrete Predotor-prey System with Holling-(n+1) Type Functional Response
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摘要 考虑具有Holling-(n+1)型功能反应的三维离散捕食系统的数学模型,利用不等式的性质获得系统永久持续生存的充分条件,最后利用Brouwer不动点定理得到系统正周期解的存在性. A Holling-(n+1)type functional response of three-dimensional mathematical model of discrete prey systems is considered.Some snfficient corlditions ensuring the permanece and existence of periodic solation are obtained by using inequlity skill and Brouwer fixed point theorem.sufficient conditions for permanence of the systems are given using the properties of inequalities.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2011年第2期15-19,共5页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金项目(10971240) 重庆市自然科学基金科研项目(CSTC2008BB2364) 重庆市教委科研项目(KJ080806)
关键词 Holling-(n+1)型功能反应 三维离散捕食系统 永久持续 周期解. Holling-(n+1)type functional response predator-prey system of discrete three-dimensional periodic solution permanece
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