scholarly journals Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls

2019 ◽  
Vol 13 (1) ◽  
pp. 407-421 ◽  
Author(s):  
Changjin Xu ◽  
Peiluan Li ◽  
Ying Guo
Keyword(s):  
Periodic Solutions ◽  
Asymptotical Stability ◽  
Time Varying ◽  
Global Asymptotical Stability ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Feedback Controls

scholarly journals Dynamics of two-species delayed competitive stage-structured model described by differential-difference equations

2019 ◽  
Vol 17 (1) ◽  
pp. 385-401 ◽  
Author(s):  
Sufang Han ◽  
Yaqin Li ◽  
Guoxin Liu ◽  
Lianglin Xiong ◽  
Tianwei Zhang
Keyword(s):  
Periodic Solutions ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Asymptotical Stability ◽  
Continuation Theorem ◽  
Global Asymptotical Stability ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Mawhin’S Continuation Theorem ◽  
Positive Almost Periodic Solutions

Abstract Overf the last few years, by utilizing Mawhin’s continuation theorem of coincidence degree theory and Lyapunov functional, many scholars have been concerned with the global asymptotical stability of positive periodic solutions for the non-linear ecosystems. In the real world, almost periodicity is usually more realistic and more general than periodicity, but there are scarcely any papers concerning the issue of the global asymptotical stability of positive almost periodic solutions of non-linear ecosystems. In this paper we consider a kind of delayed two-species competitive model with stage structure. By means of Mawhin’s continuation theorem of coincidence degree theory, some sufficient conditions are obtained for the existence of at least one positive almost periodic solutions for the above model with nonnegative coefficients. Furthermore, the global asymptotical stability of positive almost periodic solution of the model is also studied. The work of this paper extends and improves some results in recent years. An example and simulations are employed to illustrate the main results of this paper.

scholarly journals C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Yongkun Li ◽  
Lili Zhao ◽  
Li Yang
Keyword(s):  
Neural Networks ◽  
Periodic Solutions ◽  
Time Scales ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Bam Neural Networks ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
New Type ◽  
Inequality Techniques

On a new type of almost periodic time scales, a class of BAM neural networks is considered. By employing a fixed point theorem and differential inequality techniques, some sufficient conditions ensuring the existence and global exponential stability ofC1-almost periodic solutions for this class of networks with time-varying delays are established. Two examples are given to show the effectiveness of the proposed method and results.

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