Effect of decimation on positive periodic solutions of discrete generalized Nicholson’s blowflies models with multiple time-varying delays

2021 ◽  
Vol 97 ◽  
pp. 105731
Author(s):  
Jitsuro Sugie ◽  
Yan Yan ◽  
Mingzhu Qu
Keyword(s):  
Periodic Solutions ◽  
Multiple Time ◽  
Time Varying ◽  
Positive Periodic Solutions

scholarly journals Positive Periodic Solutions for an Generalized SIS Epidemic Model with Time-Varying Coefficients and Delays

2018 ◽  
Vol 2018 ◽  
pp. 1-5
Author(s):  
Zhiwen Long
Keyword(s):  
Periodic Solutions ◽  
Epidemic Model ◽  
Time Varying ◽  
Positive Periodic Solutions ◽  
Varying Coefficients ◽  
Sis Epidemic Model ◽  
Lyapunov Function Method ◽  
Time Varying Coefficients ◽  
Theoretical Results ◽  
Sis Epidemic

This paper mainly explores a generalized SIS epidemic model with time-varying coefficients and delays. By employing Lyapunov function method and differential inequality approach, a sufficient criterion to guarantee the existence and exponential stability of positive periodic solutions for the addressed model is obtained, which complements the earlier publications. Particularly, an example and its numerical simulations are given to demonstrate our theoretical results.

scholarly journals Positive periodic solution for inertial neural networks with time-varying delays

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Feng Duan ◽  
Bo Du
Keyword(s):  
Neural Networks ◽  
Periodic Solutions ◽  
Sufficient Conditions ◽  
Positive Periodic Solution ◽  
Functional Method ◽  
Time Varying ◽  
Positive Periodic Solutions ◽  
Mawhin’S Continuation Theorem ◽  
Existence And Stability ◽  
Inertial Neural Networks

AbstractIn this paper the problems of the existence and stability of positive periodic solutions of inertial neural networks with time-varying delays are discussed by the use of Mawhin’s continuation theorem and Lyapunov functional method. Some sufficient conditions are obtained for guaranteeing the existence and stability of positive periodic solutions of the considered system. Finally, a numerical example is given to illustrate the effectiveness of the obtained results.

scholarly journals Permanence and Positive Periodic Solutions of a Discrete Delay Competitive System

2010 ◽  
Vol 2010 ◽  
pp. 1-22 ◽  
Author(s):  
Wenjie Qin ◽  
Zhijun Liu
Keyword(s):  
Periodic Solutions ◽  
Global Attractivity ◽  
Sufficient Conditions ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Discrete Delay ◽  
Positive Periodic Solutions ◽  
Competitive System ◽  
Discrete Function ◽  
Species Population

A discrete time non-autonomous two-species competitive system with delays is proposed, which involves the influence of many generations on the density of species population. Sufficient conditions for permanence of the system are given. When the system is periodic, by using the continuous theorem of coincidence degree theory and constructing a suitable Lyapunov discrete function, sufficient conditions which guarantee the existence and global attractivity of positive periodic solutions are obtained. As an application, examples and their numerical simulations are presented to illustrate the feasibility of our main results.

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