POSITIVE PERIODIC SOLUTION OF A NEUTRAL PREDATOR-PREY SYSTEM  被引量:2

POSITIVE PERIODIC SOLUTION OF A NEUTRAL PREDATOR_PREY S YSTEM

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作  者:李永昆 

出  处:《Applied Mathematics and Mechanics(English Edition)》1999年第5期117-122,共6页应用数学和力学(英文版)

摘  要:In this paper, the existence o f a positive periodic solution to the following neutral predator_prey system (t)=rH(t)1-a 1(t)H(t-τ)+a 2(t-τ)K-α(t)H(t)P(t), (t)=-b(t)P(t)+β(t)H(t)P(t) is studied,in which r,a 2,K and τ are positive constants, and a 1(t ),α(t),b(t) and β(t) are positive continuous functions of period ω .In this paper, the existence o f a positive periodic solution to the following neutral predator_prey system (t)=rH(t)1-a 1(t)H(t-τ)+a 2(t-τ)K-α(t)H(t)P(t), (t)=-b(t)P(t)+β(t)H(t)P(t) is studied,in which r,a 2,K and τ are positive constants, and a 1(t ),α(t),b(t) and β(t) are positive continuous functions of period ω .

关 键 词:neutral delay system predator _prey system positive periodic solution topological degree 

分 类 号:O175[理学—数学]

 

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