scholarly journals Global exponential stability of positive almost periodic solutions for a class of two-layer Gilpin–Ayala predator–prey model with time delays

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Kaihong Zhao
Keyword(s):  
Exponential Stability ◽  
Periodic Solutions ◽  
Time Delays ◽  
Global Exponential Stability ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Positive Almost Periodic Solutions

scholarly journals Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Wei Chen ◽  
Wentao Wang
Keyword(s):  
Numerical Simulation ◽  
Exponential Stability ◽  
Periodic Solutions ◽  
Population Model ◽  
Global Exponential Stability ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Positive Almost Periodic Solutions

This paper is concerned with a delay logarithmic population model. Under proper conditions, we employ a novel proof to establish a criterion on guaranteeing the existence and global exponential stability of positive almost periodic solutions for the model. Moreover, an example and its numerical simulation are given to illustrate the main results.

scholarly journals Global Exponential Stability of Positive Almost Periodic Solutions for a Fishing Model with a Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Hong Zhang ◽  
Shuhua Gong ◽  
Jianying Shao
Keyword(s):  
Numerical Simulation ◽  
Exponential Stability ◽  
Periodic Solutions ◽  
Global Exponential Stability ◽  
Time Varying ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Positive Almost Periodic Solutions

This paper is concerned with a nonautonomous fishing model with a time-varying delay. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive almost periodic solutions of the model with almost periodic coefficients and delays. Moreover, an example and its numerical simulation are given to illustrate the main results.

scholarly journals The Existence and Global Exponential Stability of Almost Periodic Solutions for Neutral-Type CNNs on Time Scales

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 321 ◽  
Author(s):  
Bing Li ◽  
Yongkun Li ◽  
Xiaofang Meng
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Periodic Solutions ◽  
Time Scales ◽  
Global Exponential Stability ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Leakage Delays

In this paper, neutral-type competitive neural networks with mixed time-varying delays and leakage delays on time scales are proposed. Based on the contraction fixed-point theorem, some sufficient conditions that are independent of the backwards graininess function of the time scale are obtained for the existence and global exponential stability of almost periodic solutions of neural networks under consideration. The results obtained are brand new, indicating that the continuous time and discrete-time conditions of the network share the same dynamic behavior. Finally, two examples are given to illustrate the validity of the results obtained.

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