The dynamical behavior of a predator-prey system with Gompertz growth function and impulsive dispersal of prey between two patches

被引：11

作者：

Zhang, Long ^{[1
]}

Tenga, Zhidong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 13期

关键词：

predator-prey model; impulsive dispersal; predator-extinction periodic solution; global attractivity; permanence; GLOBAL STABILITY; METAPOPULATION DYNAMICS; POPULATION INTERACTIONS; TIME-DELAY; MODELS; DIFFUSION; ENVIRONMENT; PERMANENCE;

D O I：

10.1002/mma.3806

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a predator-prey model with Gompertz growth function and impulsive dispersal of prey between two patches. Using the dynamical properties of single-species model with impulsive dispersal in two patches and comparison principle of impulsive differential equations, necessary and sufficient criteria on global attractivity of predator-extinction periodic solution and permanence are established. Finally, a numerical example is given to illustrate the theoretical results. Copyright (C) 2015 John Wiley & Sons, Ltd.

引用

页码：3623 / 3639

页数：17

共 38 条

[1]

[Anonymous], 1999, Oxford Series in Ecology and Evolution

[2]

Bainov D., 1993, IMPULSIVE DIFFERENTI, DOI [10.1201/9780203751206, DOI 10.1201/9780203751206]

[3] GLOBAL STABILITY AND PERIODIC-ORBITS FOR 2-PATCH PREDATOR-PREY DIFFUSION-DELAY MODELS [J].

BERETTA, E ;

SOLIMANO, F ;

TAKEUCHI, Y .

MATHEMATICAL BIOSCIENCES, 1987, 85 (02) :153-183

[4] GLOBAL ASYMPTOTIC STABILITY OF LOTKA-VOLTERRA DIFFUSION-MODELS WITH CONTINUOUS-TIME DELAY [J].

BERETTA, E ;

TAKEUCHI, Y .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1988, 48 (03) :627-651

[5]

BERETTA E, 1987, B MATH BIOL, V49, P431, DOI 10.1016/S0092-8240(87)80005-8

[6] Life-history syndromes: Integrating dispersal through space and time [J].

Buoro, Mathieu ;

Carlson, Stephanie M. .

ECOLOGY LETTERS, 2014, 17 (06) :756-767

[7] MODELING AND ANALYSIS OF A HARVESTING FISHERY MODEL IN A TWO-PATCH ENVIRONMENT [J].

Cai, Liming ;

Li, Xuezhi ;

Song, Xinyu .

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2008, 1 (03) :287-298

[8] Permanence and extinction for dispersal population systems [J].

Cui, JA ;

Takeuchi, Y ;

Lin, ZS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (01) :73-93

[9]

Davidson FA, 1928, U ILL AGR EXP STA B, V302, P192

[10] Stochastic population growth in spatially heterogeneous environments [J].

Evans, Steven N. ;

Ralph, Peter L. ;

Schreiber, Sebastian J. ;

Sen, Arnab .

JOURNAL OF MATHEMATICAL BIOLOGY, 2013, 66 (03) :423-476

← 1 2 3 4 →