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POSITIVE PERIODIC SOLUTION OF AN INTEGRO-DIFFERENTIAL PREDATOR-PREY SYSTEM WITH INFINITE DELAYS
作者姓名:孙德献  陈凤德
作者单位:Dept. of Math.,Fuzhou University,Fuzhou 350002,Dept. of Math.,Fuzhou University,Fuzhou 350002
基金项目:This work is supported by the Foundation of Ability Person of Fuzhou University under the grant 0030824228.
摘    要:With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a differential-integral predator-prey system with infinite delaywhere N1(t), N2(t) satisfy N1(t) =φ1(t), N2(t) =φ2(t), φi∈ BC((∞,0],R+φi(0)> 0,i=1,2, ∫0+∞Ki(s)ds = 1, i=1,2,3.

关 键 词:正周期解  推理  偶合度  职责  无限延迟  微分方程

POSITIVE PERIODIC SOLUTION OF ANINTEGRO-DIFFERENTIAL PREDATOR-PREY SYSTEM WITH INFINITE DELAYS
Sun Dexian Chen Fengde.POSITIVE PERIODIC SOLUTION OF AN INTEGRO-DIFFERENTIAL PREDATOR-PREY SYSTEM WITH INFINITE DELAYS[J].微分方程年刊(英文版),2004,20(1):77-85.
Authors:Sun Dexian Chen Fengde
Institution:Dept.ofMath.,FuzhouUniversity,Fuzhou350002
Abstract:
Keywords:periodic solutions  integro-differential predator-prey system  coincidence degree  infinity delays  functional response
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