scholarly journals A Condition for Almost Global Stability and Local Asymptotical Stability of Nonlinear System

2012 ◽  
Vol 29 ◽  
pp. 159-163 ◽  
Author(s):  
Jiafeng Yu ◽  
Jian Wang ◽  
Qinsheng Li
Keyword(s):  
Nonlinear System ◽  
Global Stability ◽  
Asymptotical Stability

PERMANENCE AND GLOBAL STABILITY IN AN IMPULSIVE LOTKA–VOLTERRA N-SPECIES COMPETITIVE SYSTEM WITH BOTH DISCRETE DELAYS AND CONTINUOUS DELAYS

2008 ◽  
Vol 01 (02) ◽  
pp. 179-196 ◽  
Author(s):  
XINZHU MENG ◽  
LANSUN CHEN
Keyword(s):  
Global Stability ◽  
Time Delays ◽  
Asymptotical Stability ◽  
Volterra System ◽  
Competitive System ◽  
Globally Asymptotical Stability ◽  
Discrete Delays ◽  
Impulsive Delay ◽  
Impulsive Perturbations

In this paper, we formulate a robust impulsive Lotka–Volterra n-species competitive system with both discrete delays and continuous delays. Our results in this paper indicate that under the appropriate linear bounded impulsive perturbations, the impulsive delay Lotka–Volterra system remains the original permanence and globally asymptotical stability of the nonimpulsive delay Lotka–Volterra system. We show that the conditions for the permanence and globally asymptotical stability of the system depend on time delays, so, we call it "profitless".

Investigating Dynamics of One Weakly Nonlinear System with Delay Argument

2018 ◽  
Vol 50 (1) ◽  
pp. 20-38 ◽  
Author(s):  
Denis Ya. Khusainov ◽  
Jozef Diblik ◽  
Jaromir Bashtinec ◽  
Andrey V. Shatyrko
Keyword(s):  
Nonlinear System ◽  
Weakly Nonlinear ◽  
Delay Argument ◽  
System With Delay ◽  
Weakly Nonlinear System
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