GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS

被引：65

作者：

Jiao, Jianjun ^{[1
,2
]}

Chen, Lansun ^{[2
]}

机构：

[1] Guizhou Coll Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2008年 / 1卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Stage-structured; time delay; impulsive; global attractivity; prey-extinction;

D O I：

10.1142/S1793524508000163

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this work, we consider a delayed stage-structured variable coefficients predator-prey system with impulsive perturbations on predators. By using the discrete dynamical system determined by stroboscopic map and the standard comparison theorem, we obtain the sufficient conditions which guarantee the global attractivity of prey-extinction periodic solution of the investigated system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactic basis for the practical pest management.

引用

页码：197 / 208

页数：12

共 28 条

[1] ANALYSIS OF A MODEL REPRESENTING STAGE-STRUCTURED POPULATION-GROWTH WITH STATE-DEPENDENT TIME-DELAY [J].

AIELLO, WG ;

FREEDMAN, HI ;

WU, J .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1992, 52 (03) :855-869

[2] A TIME-DELAY MODEL OF SINGLE-SPECIES GROWTH WITH STAGE STRUCTURE [J].

AIELLO, WG ;

FREEDMAN, HI .

MATHEMATICAL BIOSCIENCES, 1990, 101 (02) :139-153

[3] THE EXISTENCE OF NONOSCILLATORY SOLUTIONS TO A GENERALIZED, NONAUTONOMOUS, DELAY LOGISTIC EQUATION [J].

AIELLO, WG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 149 (01) :114-123

[4]

[Anonymous], 1964, BIOL CONTROL INSECT

[5]

[Anonymous], 1991, BIOL CONTROL NATURAL

[6]

Bainov D, 1993, IMPULSIVE DIFFERENTI

[7] MODELS FOR PEST-CONTROL USING PREDATOR RELEASE, HABITAT MANAGEMENT AND PESTICIDE RELEASE IN COMBINATION [J].

BARCLAY, HJ .

JOURNAL OF APPLIED ECOLOGY, 1982, 19 (02) :337-348

[8] THE HISTORY OF THE VEDALIA BEETLE IMPORTATION TO CALIFORNIA AND ITS IMPACT ON THE DEVELOPMENT OF BIOLOGICAL-CONTROL [J].

CALTAGIRONE, LE .

ANNUAL REVIEW OF ENTOMOLOGY, 1989, 34 :1-16

[9]

CULL P, 1981, B MATH BIOL, V43, P47, DOI 10.1016/S0092-8240(81)80005-5

[10] STABILITY RESULTS FOR DELAYED-RECRUITMENT MODELS IN POPULATION-DYNAMICS [J].

FISHER, ME ;

GOH, BS .

JOURNAL OF MATHEMATICAL BIOLOGY, 1984, 19 (01) :147-156

← 1 2 3 →