Almost periodic solutions for a Volterra model with mutual interference and Beddington-DeAngelis functional response

2017 ◽  
Vol 7 (4) ◽  
pp. 301
Author(s):  
Zhouhong Li ◽  
Li Yang
Keyword(s):  
Periodic Solutions ◽  
Functional Response ◽  
Mutual Interference ◽  
Volterra Model ◽  
Almost Periodic Solutions ◽  
Almost Periodic

scholarly journals Almost periodic solutions of a discrete Lotka-Volterra model via exponential dichotomy theory

2021 ◽  
Vol 7 (3) ◽  
pp. 3788-3801
Author(s):  
Lini Fang ◽  
◽  
N'gbo N'gbo ◽  
Yonghui Xia
Keyword(s):  
Fixed Point ◽  
Periodic Solutions ◽  
Exponential Dichotomy ◽  
Exponential Convergence ◽  
Volterra Model ◽  
Banach Fixed Point Theorem ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
The Difference ◽  
Positive Almost Periodic Solutions

<abstract><p>In this paper, we consider a discrete non-autonomous Lotka-Volterra model. Under some assumptions, we prove the existence of positive almost periodic solutions. Our analysis relies on the exponential dichotomy for the difference equations and the Banach fixed point theorem. Furthermore, by constructing a Lyapunov function, the exponential convergence is proved. Finally, a numerical example illustrates the effectiveness of the results.</p></abstract>

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