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一类飞蝇——天敌生态系统的概周期解

Almost periodic solution of a class fly——natural enemy ecosystem
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摘要 研究了一类飞蝇——天敌两种群动力学模型,该生态系统是一飞蝇种群被一天敌种群捕食.讨论了该生态系统的正不变集存在性及其解的有界性;进一步采用构造Liapunov泛函的方法和概周期解存在唯一性定理,证明了该生态系统正概周期解的存在唯一性. The dynamics model of the two species, fly and its natural enemy, is studied in this paper. This is an ecosystem in which a fly species is preyed on by its natural enemy species. Existence of positive invariable set and boundedness of solution of the ecosystem are discussed. The existence and uniqueness of the ecosystem＇s positive almost periodic solution are further proved by Liapunov Functional and the theorem of the existence and uniqueness of almost periodic solution.
作者 赵明 程荣福
机构地区 北华大学数学学院
出处 《吉林化工学院学报》 CAS 2008年第2期77-79,共3页 Journal of Jilin Institute of Chemical Technology
关键词 概周期解 生态系统 LIAPUNOV泛函 存在唯一性 almost periodic solution ecosystem Liapunov functional existence and uniqueness
分类号 O175.13 [理学—基础数学]
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吉林化工学院学报
2008年 第2期

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