Periodic solutions in a delayed predator-prey models with nonmonotonic functional response

被引：0

作者：

Li, Wan-Tong ^{[1
]}

Fan, Yong-Hong

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Ludong Univ, Sch Math & Informat Sci, Yantai 264025, Shandong, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2007年 / 8卷 / 01期

关键词：

predator-prey model; nonmonotonic functional response; positive periodic solution; time delay; coincidence degree;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a delayed predator-prey model with nonmonotonic functional response [GRAPHICS] is established, where a(t), b( t), mu( t) and d( t) are all positive periodic continuous functions with period omega > 0, m > 0 and tau >= 0 are constants.

引用

页码：175 / 185

页数：11

共 22 条

[1] A MATHEMATICAL MODEL FOR CONTINUOUS CULTURE OF MICROORGANISMS UTILIZING INHIBITORY SUBSTRATES [J].

ANDREWS, JF .

BIOTECHNOLOGY AND BIOENGINEERING, 1968, 10 (06) :707-+

[2] EFFECT OF TIME-DELAY AND GROWTH-RATE INHIBITION IN BACTERIAL TREATMENT OF WASTEWATER [J].

BUSH, AW ;

COOK, AE .

JOURNAL OF THEORETICAL BIOLOGY, 1976, 63 (02) :385-395

[3] TIME LAG IN POPULATION GROWTH RESPONSE OF ISOCHRYSIS GALBANA TO A VARIABLE NITRATE ENVIRONMENT [J].

CAPERON, J .

ECOLOGY, 1969, 50 (02) :188-&

[4] The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model [J].

Collings, JB .

JOURNAL OF MATHEMATICAL BIOLOGY, 1997, 36 (02) :149-168

[5]

Fan Yonghong, 2000, Journal of Lanzhou University Natural Sciences, V36, P6

[6] Normal forms for periodic retarded functional differential equations [J].

Faria, T .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 :21-46

[7] PREDATOR PREY SYSTEMS WITH GROUP DEFENSE - THE PARADOX OF ENRICHMENT REVISITED [J].

FREEDMAN, HI ;

WOLKOWICZ, GSK .

BULLETIN OF MATHEMATICAL BIOLOGY, 1986, 48 (5-6) :493-508

[8]

Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537

[9]

Haldane JBS., 1965, ENZYMES

[10]

Holling C. S., 1965, Mem ent Soc Canada Ottawa, Vno. 45, P1

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