ALMOST PERIODIC POSITIVE SOLUTIONS FOR A DELAYED NONLINEAR DENSITY DEPENDENT MORTALITY NICHOLSON'S BLOWFLIES MODEL ON TIME SCALES

被引：0

作者：

Prasad, K. R. ^{[1
]}

Khuddush, M. ^{[1
]}

Vidyasagar, K. V. ^{[1
]}

机构：

[1] Andhra Univ, Coll Sci & Technol, Dept Appl Math, Visakhapatnam 530003, Andhra Pradesh, India

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2022年 / 12卷 / 03期

关键词：

Time scale; Nicholson's blowflies model; almost periodic positive solution; global asymptotic stability; DYNAMIC EQUATIONS; EXISTENCE; STABILITY;

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 we discuss a nonlinear density dependent mortality Nicholson's blowflies equation with multiple pairs of time varying delays. By contraction mapping theorem, we derived the necessary conditions for the existence of almost periodic positive solutions and by selecting suitable Lyapunov functionnal we study global asymptotic stability of the addressed model. Finally, some numerical simulations are listed to show the validity of our methods.

引用

页码：876 / 887

页数：12

共 25 条

[1] Dynamic equations on time scales: a survey [J].

Agarwal, R ;

Bohner, M ;

O'Regan, D ;

Peterson, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :1-26

[2]

Agarwal R.P., 2000, Monographs and Textbooks in Pure and Applied Mathematics, V2nd

[3]

[Anonymous], 1999, Results Math, DOI [DOI 10.1007/BF03322019, 10.1007/BF03322019]

[4]

[Anonymous], 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1

[5]

Babenko SV, 2014, NONLINEAR DYNAMICS S, V14, P30

[6]

Bartosiewicz Z, 2006, CONTROL CYBERN, V35, P769

[7] Nicholson's blowflies differential equations revisited: Main results and open problems [J].

Berezansky, L. ;

Braverman, E. ;

Idels, L. .

APPLIED MATHEMATICAL MODELLING, 2010, 34 (06) :1405-1417

[8]

Bohner M., 2003, Advances in dynamic equations on time scales, DOI DOI 10.1007/978-0-8176-8230-9

[9] Dynamic analysis on a delayed nonlinear density-dependent mortality Nicholson's blowflies model [J].

Cao, Qian ;

Wang, Guoqiu .

INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (09) :2596-2602

[10]

Goh B. S., 2012, MANAGEMENT ANAL BIOL

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