scholarly journals Time-delay version of the integrable discrete Lotka-Volterra system in terms of the LR transformations

IOP SciNotes ◽  
2021 ◽  
Author(s):  
Masaki Sekiguchi ◽  
Kurumi Oka ◽  
Masashi Iwasaki ◽  
Emiko Ishiwata
Keyword(s):  
2014 ◽  
Vol 687-691 ◽  
pp. 2229-2233
Author(s):  
Ye Yang Jiang ◽  
Tian Fu Chai

This paper studies the impact of network time-lag on the spread of worms and virus, uses Lotka-Volterra equation theory with time delay, and studies the influence of network characteristics such as response time, predator copy size and interaction of network worms and predators.


2006 ◽  
Vol 16 (10) ◽  
pp. 2915-2922 ◽  
Author(s):  
MANUEL GÁMEZ ◽  
CLOTILDE MARTÍNEZ

In this paper, several sufficient conditions are established for the persistence and extinction in a Lotka–Volterra system with time delay. Based on the use of Lyapunov functionals techniques, necessary and sufficient conditions are also given for global asymptotic stability of the positive equilibrium for autonomous systems.


2007 ◽  
Vol 38 (1) ◽  
pp. 73-78 ◽  
Author(s):  
V. Lj. Marković ◽  
S. N. Stamenković ◽  
S. R. Gocić ◽  
S. M. Durić
Keyword(s):  

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