[PDF] Top 20 The stability analysis of a system with two delays

... for a fourth-order nonlinear neutral differential equation with variable delay was studied by Ardjouni et al. [21]. Grace [22] established the results for oscillation of a third-order nonlinear delay differential equation. ... See full document

... nonlinear two-species model system and then to obtain the criteria of the ...linear stability analysis for the travelling wave train ...reaction system introduced by Dreitlein and Somes ... See full document

... that system (1) is asymptotically ...the stability condition without using time delay division, we omitted the proof process and only display the results in Table ... See full document

... where x(t), y(t), and v(t) are the densities of uninfected target cells, infected target cells and free virus, respectively, at time t. β is the infection rate of uninfected cells by the virus. The healthy cell is ... See full document

... the stability analysis of thermal control system with constant time-delay was used to ...the analysis, PI controller is the essential part of the thermal control system, time-invariant ... See full document

... the system of nonlinear ordinary differential equations or the system of nonlinear functional differential ...these, stability analysis for neural net- works with or without time delays ... See full document

... investment delays caused by gross product in the past and capital stock in the past are not always unified (see ...with two different delays, the dynamic behaviors of the system are fruitful ... See full document

... with two delays was studied by this ...with two time delays and we provide an insight to unexplored aspects of ...the stability and bifurcation theory analysis, We discussed the ... See full document

... Epilepsy is a neurological disease characterized by an increased risk of recurring seizures that affects about 1% of the world population. Such seizures typically mani- fest themselves as brief periods in which neural ... See full document

... be used to show that solutions of system (.) exist and are differentiable for all t > . The delay is inspired by the life history of the schistosomiasis. Indeed, it is possible that some hosts or intermediate ... See full document

... It is worth pointing out that most of the research work in population models with patchy structures assumed the dispersal to be instantaneous. In fact, species movement between patches takes some time. Recently, Zhang et ... See full document

... partly to produce energy rich molecules and partly to produce carbon compounds that can be used for biosynthesis. The glycolysis has been extensively explored in many organisms and several mathematical models of it have ... See full document

... dependent stability for continuous system with two additive time- varying delay components,” ISA transactions, ...for stability analysis of systems with additive time-varying ... See full document

... ponential stability of equilibria of neural networks with time delays have been widely investigated and success- fully applied to signal processing ...namic analysis of equilibrium point but also ... See full document

... Conclusion In this paper, we considered a three-stage-structured prey-predator system with discrete and continuous time delays and analyzed the stability of the boundary and positive equ[r] ... See full document

... robust stability of uncertain neural networks with multiple time delays with respect to the class of nondecreasing activation ...asymptotic stability of the equilibrium point for delayed neural ... See full document

... immune system has a special ef- fect in virus infection models with CTLs response, and the human immune system itself is very ...immune system in med- ical science, which coincides with our ...the ... See full document

... with delays. The presence of time-delay in state derivatives makes system behavior more similar to real ...time delays are often the main sources of instability. Hence, system stability ... See full document

... Proof: By the biological meaning, we only focus on the positive solutions to system (SM). Thus it is reasonable to make the following change of variables, x 1 (t) = e u(t) , x 2 (t) = e v(t) . By using Itˆ o ... See full document

... Although claims data are effective and efficient for examining treatment patterns and assessing health care utilization and costs, there are certain inherent limitations associated with claims data in general. Although ... See full document