Periodicity in a neutral predator-prey system with monotone functional responses

被引：1

作者：

Zeng, Zhijun ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, 5268 Renmin St, Changchun 130024, Jilin, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

coincidence degree; periodic solution; neutral; monotone functional responses; delay; MODEL; DELAY; EXISTENCE;

D O I：

10.1186/s13662-017-1101-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By utilizing the coincidence degree theory and the related continuation theorem, as well as some prior estimates, we investigate the existence of positive periodic solutions of a neutral predator-prey system with monotone functional responses. New sufficient criteria are established for the existence of periodic solutions. Some well-known results in the literature are generalized.

引用

页数：10

共 50 条

[1] Periodicity in a neutral predator-prey system with monotone functional responses
Zhijun Zeng
Advances in Difference Equations, 2017
[2] Periodicity in a generalized semi-ratio-dependent predator-prey system with time delays and impulses
Ding, Xiaoquan
Jiang, Jifa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (01) : 223 - 234
[3] Periodicity in a nonlinear predator-prey system with state dependent delays
Chen F.-D.
Shi J.-L.
Acta Mathematicae Applicatae Sinica, 2005, 21 (1) : 49 - 60
[4] Periodicity in a Nonlinear Predator-prey System with State Dependent Delays
Feng-de Chen
Acta Mathematicae Applicatae Sinica, 2005, (01) : 49 - 60
[5] Positive periodic solutions for a class of neutral delay Gause-type predator-prey system
Liu, Guirong
Yan, Weiping
Yan, Jurang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4438 - 4447
[6] BIFURCATION AND CONTROL OF A PREDATOR-PREY SYSTEM WITH UNFIXED FUNCTIONAL RESPONSES
Fei, Lizhi
Chen, Xingwu
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (10): : 5701 - 5721
[7] The sterile insect release technique in a predator-prey system with monotone functional response
Wang, Shuai
Huang, Qingdao
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (91)
[8] STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES
Yousefnezhad, M.
Mohammadi, S. A.
ACTA MATHEMATICA SCIENTIA, 2016, 36 (01) : 62 - 72
[9] PERIODICITY IN A DELAYED SEMI-RATIO-DEPENDENT PREDATOR-PREY SYSTEM
Ding XiaoquanInformation Science and Engineering College
Applied Mathematics:A Journal of Chinese Universities, 2005, (02) : 151 - 158
[10] Periodicity in a delayed semi-ratio-dependent predator-prey system
Xiaoquan D.
Applied Mathematics-A Journal of Chinese Universities, 2005, 20 (2) : 151 - 158

← 1 2 3 4 5 →