具有多个时滞的周期Lotka-Volterra系统(英文)

ON A PERIODIC LOTKA-VOLTERRA SYSTEM WITH SEVERAL DELAYS

导出

摘要 A periodic predator-prey system with several delays is studied in this paper. A set of easily verifiable sufficient conditions that guarantee the existence, uniqueness and global attractivity of the positive periodic solutions is obtained. A periodic predator-prey system with several delays is studied in this paper. A set of easily verifiable sufficient conditions that guarantee the existence, uniqueness and global attractivity of the positive periodic solutions is obtained.

作者盖明久时宝杨淑荣

出处《Annals of Differential Equations》 2002年第1期1-13,共13页 微分方程年刊（英文版）

基金 This work is supported by the Distinguished Expert Foundation of Naval Aeronautical Engineering Institute.

关键词 periodic Lotka-Volterra systems global attractivity Fredholm mapping periodic Lotka-Volterra systems, global attractivity, Fredholm mapping

分类号 O175 [理学—基础数学]

引文网络
相关文献

参考文献1

1LUZHONGHUA,CHENLANSUN.GLOBAL　ASYMPTOTIC　STABILITY　OF　THE　PERIODIC　LOTKA－VOLTERRA　SYSTEM　WITH　TWO－PREDATORS　AND　ONE－PREY[J].Applied Mathematics(A Journal of Chinese Universities),1995,10(3):267-274. 被引量：15

共引文献14

1李继怀,唐素芳,王永升,刘会民.三种群Lotka-Volterra混合系统的全局渐近稳定性[J].鞍山师范学院学报,2001,3(3):23-26. 被引量：2
2张银萍.三种群Lotka-Volterra模型的持久性[J].上海铁道大学学报,2000,21(12):28-32.
3张树文.具有功能反应周期系数三种群Lotka-Volterra混合模型[J].鞍山钢铁学院学报,2001,24(1):56-59. 被引量：1
4陈超,纪昆.具有Holling Ⅲ类功能性反应的多种群竞争捕食系统的概周期解[J].应用数学学报,2006,29(4):755-765. 被引量：3
5阿布都热合曼,陈衡.N种群捕食-被捕食的Lotka-Volterra周期系统的全局渐近稳定性[J].伊犁师范学院学报（社会科学版）,2006,25(3):19-24.
6Dishen Jiabu.POSITIVE ALMOST PERIODIC SOLUTIONS OF n DIMENSIONAL NONAUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEMS[J].Annals of Differential Equations,2007,23(4):400-404.
7周刚,时宝,盖明久,黄咏芳.一类具有时滞和脉冲的Lotka-Volterra竞争系统的正周期解[J].数学的实践与认识,2008,38(11):145-153.
8李智军,何继伟.捕食者-食Lotka-Volterra系统的概周期解(英文)[J].大学数学,2009,25(6):29-35.
9王福海,何继伟.具无穷时滞的Lotka-Volterra捕食系统的生存分析[J].数学的实践与认识,2010,40(4):229-232.
10吴雪芹.一类具有脉冲和时滞的捕食系统的周期解的存在性[J].荆楚理工学院学报,2010,25(2):25-31.

1李永昆.ON A PERIODIC DELAY LOGISTIC TYPE POPULATION MODEL[J].Annals of Differential Equations,1998,14(1):31-38. 被引量：1
2On Chunhua, Luo Wei & Tang Hengsheng (Central-South Institute Of Technology,.ON THE GLOBAL ATTRACTIVITY FOR A NEUTRAL DIFFERENCE EQUATION WITH TWO DELAYS[J].Annals of Differential Equations,1995,11(4):420-427. 被引量：1
3(Department of Applied Mathematics and Applied Software, Central South University of Technology, Changsha, 410083, China).GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS DELAY-LOGISTIC EQUATIONS^+[J].Journal of Central South University,1995,7(1):73-75. 被引量：2
4曾凡平,席鸿建.GLOBAL ATTRACTIVITY IN A CLASS OF NONLINEAR DIFFERENCE EQUATIONS[J].Annals of Differential Equations,2000,16(3):302-307.
5XIAO Yanni(Institute of Mathematics, Academia Sinica, Beijing 100080, China)WANG Weidong(Deportment of Mathematics and Computer Hubei Institute for Nationalities, Enshi 445000, China)CHEN Jufang(Department of Mathematics, Shaanxi Normal University, Xi’an.PERMANENCE AND PERIODIC SOLUTION OF NONAUTONOMOUS DELAY LOTKA-VOLTERRA DIFFUSION SYSTEM[J].Systems Science and Mathematical Sciences,1999,12(4):344-349.
6李永昆.Existence and global attractivity of a positive periodic solution of a class of delay differential equation[J].Science China Mathematics,1998,41(3):273-284. 被引量：15
7刘振海,文贤章.ATTRACTIVITY PROPERTIES OF SOLUTIONS FOR DEGENERATE QUASILINEAR PARABOLIC EQUATIONS OF HIGHER ORDER[J].Annals of Differential Equations,2000,16(2):169-176.
8廖六生.GLOBAL ATTRACTIVITY IN DELAYED HOPFIELD NEURAL NETWORK MODEL WITH VARIABLE COEFFICIENTS AND DELAYS[J].Annals of Differential Equations,2001,17(1):32-41.
9Syed ABBAS,夏永辉.EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY[J].Acta Mathematica Scientia,2013,33(1):290-302. 被引量：3
10庾建设,郭志明.Some problems on the global attractivity of linear nonautonomous difference equations[J].Science China Mathematics,2003,46(6):884-892.

Annals of Differential Equations

2002年第1期

浏览历史

内容加载中请稍等...

具有多个时滞的周期Lotka-Volterra系统(英文)

参考文献1

共引文献14

相关作者

相关机构

相关主题

浏览历史