Dynamics of a harvested logistic type model with delay and piecewise constant argument

被引:0
作者
Arugaslan, Duygu [1 ]
机构
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey
来源
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 05期
关键词
Delayed logistic equation; piecewise constant argument of generalized type; boundedness; permanence; harvesting; RETARDED DIFFERENTIAL-EQUATIONS; STABILITY; PERMANENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a harvested logistic equation with delay and piecewise constant argument of generalized type is addressed. Both discrete and piecewise constant delays are incorporated into the logistic equation for investigation. Existence, boundedness of positive solutions and permanence are studied for the proposed logistic model. (C) 2015 All rights reserved.
引用
收藏
页码:507 / 517
页数:11
相关论文
共 22 条
[1]   Stability of differential equations with piecewise constant arguments of generalized type [J].
Akhmet, M. U. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) :794-803
[2]   On the reduction principle for differential equations with piecewise constant argument of generalized type [J].
Akhmet, M. U. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) :646-663
[3]   Integral manifolds of differential equations with piecewise constant argument of generalized type [J].
Akhmet, M. U. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (02) :367-383
[4]   QUASILINEAR RETARDED DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DEPENDENCE ON PIECEWISE CONSTANT ARGUMENT [J].
Akhmet, M. U. .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (02) :929-947
[5]   Method of Lyapunov functions for differential equations with piecewise constant delay [J].
Akhmet, M. U. ;
Arugaslan, D. ;
Yilmaz, E. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (16) :4554-4560
[6]   Stability in cellular neural networks with a piecewise constant argument [J].
Akhmet, M. U. ;
Arugaslan, D. ;
Yilmaz, E. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (09) :2365-2373
[7]   Asymptotic behavior of solutions of differential equations with piecewise constant arguments [J].
Akhmet, M. U. .
APPLIED MATHEMATICS LETTERS, 2008, 21 (09) :951-956
[8]  
Akhmet M U., 2013, Discontinuity, Nonlinearity and Complexity, V2, P369
[9]  
Akhmet M, 2011, ATL STUD MATH ENG SC, V8, P1
[10]   LYAPUNOV-RAZUMIKHIN METHOD FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT [J].
Akhmet, Marat ;
Arugaslan, Duygu .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 25 (02) :457-466