FOUR POSITIVE ALMOST PERIODIC SOLUTIONS TO AN IMPULSIVE NON-AUTONOMOUS LOTKA-VOLTERRA PREDATOR-PREY SYSTEM WITH HARVESTING TERMS

被引：0

作者：

Zhang, Chunhua ^{[1
]}

Zhang, Yuying ^{[1
]}

Chen, Xiaoxing ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp, Fuzhou 350002, Fujian, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2015年

基金：

中国国家自然科学基金;

关键词：

Four positive almost periodic solutions; Lotka-Volterra predator-prey system; Coincidence degree; Harvesting term;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, by using Mawhins continuation theorem of coincidence degree theory and some analytical approaches, we establish the existence of four positive almost periodic solutions for an impulsive non-autonomous two species almost periodic Lotka-Volterra predator-prey system with time delay and harvesting terms. Furthermore, our results improve the main results of paper [1]. An example is given to illustrate the effectiveness of our results.

引用

页数：19

共 18 条

[1] Dynamic behaviors of the periodic predator-prey system with distributed time delays and impulsive effect [J].

Chen, Lijuan ;

Chen, Fengde .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) :2467-2473

[2] Stability of complex-valued impulsive system with delay [J].

Fang, Tao ;

Sun, Jitao .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 240 :102-108

[3]

Gaines R.E., 1977, COINCIDENCE DEGREE N, DOI [10.1007/BFb0089537, DOI 10.1007/BFB0089537]

[4]

He C. Y., 1992, ALMOST PERIODIC DIFF

[5] Almost periodic solution of an impulsive differential equation model of plankton allelopathy [J].

He, Mengxin ;

Chen, Fengde ;

Li, Zhong .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :2296-2301

[6] Multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms [J].

Li, Yongkun ;

Ye, Yuan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (11) :3190-3201

[7] Asymptotic behavior of a stochastic nonautonomous Lotka-Volterra competitive system with impulsive perturbations [J].

Liu, Meng ;

Wang, Ke .

MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (3-4) :909-925

[8] Impulsive periodic oscillation for a predator-prey model with Hassell-Varley-Holling functional response [J].

Liu, Xiuxiang .

APPLIED MATHEMATICAL MODELLING, 2014, 38 (04) :1482-1494

[9] An almost periodic competitive system subject to impulsive perturbations [J].

Liu, Zhijun ;

Wang, Qinglong .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 231 :377-385

[10]

Samoilenko A.M., 1995, IMPULSIVE DIFFERENTI

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