期刊论文

De-ming Zhu

英文

应用数学学报：英文版

0168-9673

2003

19

3

491-498

10.1007/s10255-003-0125-z

Manuscript received December 23, 2001. Supported by National Natural Science Foundation of China (Grant No. 10071022), Mathematical Tianyuan Foundation of China (Grant No. TY10026002-01-05-03) & Shanghai Priority Academic Research.

本校为其他机构

By using the continuation theorem of Mawhin's coincidence degree theory, a sufficient condition is derived for the existence of positive periodic solutions for a distributed delay competition model {u'(t) = u(t)[r_1(t)-a_1(t)u(t)-b_1(t) ∫from x = -T to x = 0 of L_1(s)u(t+s)ds-c_1(t)∫from x = -T to x = 0 of K_1(s)v(t+s)ds], v'(t) = u(t)[r_2(t)-a_2(t)v(t)-b_2(t) ∫from x = -T to x = 0 of L_2(s)v(t+s)ds-c_2(t)∫from x = -T to x = 0 of K_2(s)u(t+s)ds], where r_1 and r_2 are continuous ω-periodic functions in R_+ = [0,∞), b_i (i = 1,2) is nonneg...

By using the continuation theorem of Mawhin’s coincidence degree theory, a sufficient condition is derived for the existence of positive periodic solutions for a distributed delay competition modelwhere ri and r2 are continuous w-periodic functions in R+=[0,∞) with ,ai,ci（i =1,2） are positive continuous w-periodic functions in R+=[0,∞),bi （i = 1,2） is nonnegative continuous w-periodic function in R+=[0,∞), w and T are positive constants. Ki,Lt ∈ C（[-T,0], （01 88）） and Ki（s）ds = 1,ds - 1. i = 1,2. Some ...