Global Existence of Positive Periodic Solutions for a Distributed Delay Competition Model  

作　　者：Xian-yi Li, De-ming ZhuDepartment of Mathematics, East China Normal University, Shanghai 200062, China Department of Mathematics and Physics, Nanhua University, Hengyang 421001, China 

出　　处：《Acta Mathematicae Applicatae Sinica》2003年第3期491-498,共8页应用数学学报（英文版）

基　　金：National Natural Science Foundation of China (Grant No.10071022);Mathematical Tianyuan Foudation of China (Grant No.TY10026002-01-05-03) & Shanghai Priority Academic Research.

摘　　要：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 , where r <SUB>1</SUB> and r <SUB>2</SUB> are continuous &#969;-periodic functions in R <SUB>+</SUB> = [0,&#8734;) with are positive continuous &#969;-periodic functions in R <SUB>+</SUB> = [0,&#8734;), b <SUB>i </SUB>(i = 1, 2) is nonnegative continuous &#969;-periodic function in R <SUB>+</SUB> = [0,&#8734;), &#969; and T are positive constants, and . Some known results are improved and extended.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 , where r <SUB>1</SUB> and r <SUB>2</SUB> are continuous &#969;-periodic functions in R <SUB>+</SUB> = [0,&#8734;) with are positive continuous &#969;-periodic functions in R <SUB>+</SUB> = [0,&#8734;), b <SUB>i </SUB>(i = 1, 2) is nonnegative continuous &#969;-periodic function in R <SUB>+</SUB> = [0,&#8734;), &#969; and T are positive constants, and . Some known results are improved and extended.

关 键 词：Global existence positive periodic solution coincidence degree distributed delay model 

分 类 号：O29[理学—应用数学]