Global Analysis and the Periodic Character of a Class of Difference Equations

被引：7

作者：

Chatzarakis, George E. ^{[1
]}

Elabbasy, Elmetwally M. ^{[2
]}

Moaaz, Osama ^{[2
]}

Mahjoub, Hamida ^{[2
,3
]}

机构：

[1] Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn Educators, Athens 14121, Greece

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Fac Sci, Dept Math, Benghazi 0021861, Libya

来源：

AXIOMS | 2019年 / 8卷 / 04期

关键词：

difference equations; stability; boundedness; periodicity character; may's host parasitoid model; STABILITY ANALYSIS; DYNAMICS;

D O I：

10.3390/axioms8040131

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In biology, difference equations is often used to understand and describe life phenomenon through mathematical models. So, in this work, we study a new class of difference equations by focusing on the periodicity character, stability (local and global) and boundedness of its solutions. Furthermore, this equation involves a May's Host Parasitoid Model, as a special case.

引用

页数：11

共 50 条

[21] On the global stability for a class of difference equations with delay
Yu, GD
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND COMPUTATIONAL SIMULATIONS, 2000, : 437 - 441
[22] On Global Attractivity of a Class of Nonautonomous Difference Equations
Liu, Wanping
Yang, Xiaofan
Cao, Jianqiu
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
[23] GLOBAL ATTRACTIVITY IN A CLASS OF NONLINEAR DIFFERENCE EQUATIONS
曾凡平
席鸿建
Annals of Differential Equations, 2000, (03) : 302 - 307
[24] Global asymptotic stability in a class of difference equations
Yang, Xiaofan
Cui, Limin
Tang, Yuan Yan
Cao, Jianqiu
ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
[25] On the problem on periodic solutions of one class of systems of difference equations
A. M. Ateiwi
Ukrainian Mathematical Journal, 1997, 49 (2) : 342 - 348
[26] Periodic solutions for a class of higher-order difference equations
Huantao Zhu
Weibing Wang
Advances in Difference Equations, 2011
[27] Periodic solutions for a class of higher-order difference equations
Zhu, Huantao
Wang, Weibing
ADVANCES IN DIFFERENCE EQUATIONS, 2011, : 1 - 7
[28] Asymptotically almost periodic solution to a class of Volterra difference equations
Long, Wei
Pan, Wen-Hai
ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[29] EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR A CLASS OF NONAUTONOMOUS DIFFERENCE EQUATIONS
Zeng, Zhijun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[30] Periodic Solutions for a Class of Nonlinear Differential-Difference Equations
LIU Shi-Kuo~1 FU Zun-Tao~(1
Communications in Theoretical Physics, 2008, 49 (05) : 1155 - 1158

← 1 2 3 4 5 →