竞争性生态系统中两物种的共存问题

数学物理学报 ›› 1999, Vol. 19 ›› Issue (3): 322-325.

竞争性生态系统中两物种的共存问题

山西大学数学系太原 |030006 山西广播电视大学太原030027 太原重型机械学院 |太原 |030024

出版日期:1999-08-03 发布日期:1999-08-03

Coexistence of Two Species |in Competitive |Systems

department of mathematics,shanxi |uinversity|taiyuan 030006 shanxi radio and television |university|taiyuan 030027 taiyuan heavy machinery institute,taiyuan 030027

Online:1999-08-03 Published:1999-08-03

摘要/Abstract

摘要：

　利用Ｂａｎａｃｈ空间中锥与半序理论研究了竞争性生态系统中两物种的共存问题，得出依赖
于某一共同生存环境的两物种在一定条件下必可达唯一共存状态．

关键词: 竞争性生态系统, 锥与半序, 共存状态．

Abstract:

in this paper we study the coexistence of two species in competitive systems by using the theory of cone and order in banach spaces,and obtain that two species in competitive systems can attain unique a coexistence under certain conditions.

Key words: 　Ｃｏｍｐｅｔｉｔｉｖｅｓｙｓｔｅｍｓ, Ｃｏｎｅａｎｄｏｒｄｅｒ, Ｃｏｅｘｉｓｔｅｎｃｅ．

中图分类号:

４７Ｈ

李福义沈沛龙冯锦锋. 竞争性生态系统中两物种的共存问题[J]. 数学物理学报, 1999, 19(3): 322-325.

Li Fuyi Shen Peilong Feng Jinfeng. Coexistence of Two Species |in Competitive |Systems[J]. Acta mathematica scientia,Series A, 1999, 19(3): 322-325.

参考文献

１　ＨｓｕＳＢ，ＳｍｉｔｈＨＬ，ＷａｌｔｍａｎＰ．ＣｏｍｐｅｔｉｔｉｖｅｅｘｃｌｕｓｉｏｎａｎｄｃｏｅｘｉｓｔｅｎｃｅｆｏｒｃｏｍｐｅｔｉｔｉｖｅｓｙｓｔｅｍｓｏｎｏｒｄｅｒｅｄＢａｎａｃｈｓｐａｃｅｓ．ＴｒａｎｓＡｍｅｒＭａｔｈＳｏｃ，１９９６，３４８（１０）：４０８３－４０９４
２　ＨｅｓｓＰ，ＬａｚｅｒＡＣ．Ｏｎａｎａｂｓｔｒａｃｔｃｏｍｐｅｔｉｔｉｏｎｍｏｄｅｌａｎｄａｐｐｌｉｃａｔｉｏｎｓ．ＮｏｎｌｉｎｅａｒＡｎａｌ，１９９１，１６（１１）：９１７－９４０
３　ＨｓｕＳＢ，ＷａｌｔｍａｎＰ，ＥｌｌｅｒｍｅｙｅｒＳ．Ａｒｅｍａｒｋｏｎｔｈｅｇｌｏｂａｌａｓｙｍｐｔｏｍｉｃｓｔａｂｉｌｉｔｙｏｆａｄｙｎａｍｉｃａｌｓｙｓｔｅｍｍｏｄｅｌｉｎｇｔｗｏｓｐｅｃｉｅｓｉｎｃｏｍｐｅｔｉｔｉｏｎ．ＨｉｒｏｓｈｉｍａＪＭａｔｈ，１９９４，２４：４３５－４４６
４　李福义，梁展东．φ凹（凸）算子的不动点定理及其应用．系统科学与数学，１９９４，１４（４）：３５５－３６０
５　ＤａｊｕｎＧｕｏ，Ｌａｋｓｈｍｉｋａｎｔｈａｍ．Ｃｏｕｐｌｅｄｆｉｘｅｄｐｏｉｎｔｓｏｆｎｏｎｌｉｎｅａｒｏｐｅｒａｔｏｒｓｗｉｔｈａｐｌｌｉｃａｔｉｏｎｓ．ＮｏｎｌｉｎｅａｒＡｎａｌ，１９８７，１１：６２３－６３２
６　ＤａｊｕｎＧｕｏ．Ｆｉｘｅｄｐｏｉｎｔｓｏｆｍｉｘｅｄｍｏｎｏｔｏｎｅｏｐｅｒａｔｏｒｓｗｉｔｈａｐｐｌｉｃａｔｉｏｎｓ．ＡｐｐｌＡｎａｌ，１９８８，３１：２１５－２２４
７　ＤａｊｕｎＧｕｏ．Ｅｘｉｓｔｅｎｃｅａｎｄｕｎｉｑｕｅｎｅｓｓｏｆｐｏｓｉｔｉｖｅｆｉｘｅｄｐｏｉｎｔｓｆｏｒｍｉｘｅｄｍｏｎｏｔｏｎｅｏｐｅｒａｔｏｒｓａｎｄａｐｐｌｉｃａｔｉｏｎｓ．ＡｐｐｌＡｎａｌ，１９９２，４６：９１－１００

[1]	宋光兴. 序Banach空间中算子方程的迭代求解及其应用[J]. 数学物理学报, 2001, 21(zk): 643-646.
[2]	张庆政. Banach空间中Hammerstein型非线性积分方程的正解及其应用[J]. 数学物理学报, 1998, 18(S1): 51-56.