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143.724  Articles
1 of 14.373 pages  |  10  records  |  more records»
In this paper we present approximate solutions of linearized delay differential equations using the matrix Lambert function. The equations arise from a microbial fermentation process in a metabolic system. The delay term appears due to the existence of a ... see more

Context. An important stage in the design of cyber-physical immunosensory systems is the development and research of theirmathematical and computer models, the construction of which would be based on biological assumptions to obtain appropriatesystems of ... see more

We prove the existence of an asymptotically stable periodic solution of a system of delay differential equations with a small time delay t > 0. To achieve this, we transform the system of equations into a system of perturbed ordinary differential equat... see more

In this paper an initial value problem for asemi-linear system of two singularly perturbed first order delay differential equations is considered on the interval(0,2]. The components of the solution of this system exhibit initial layers at 0 and interior ... see more

The dynamical convergence of a compartmental system with transport delays is studied. An easily verifiable delay independent sufficient condition for the system to be globally exponentially stable is obtained. Halanay differential inequality is employed t... see more

In this paper we consider a system of delay differential equations as a model for the dynamics of tumor-immune system interaction. We carry out a stability analysis of the proposed model. In particular, we show that the system can have up to two steady st... see more

Delay Differential Equations (DDE's) have received considerable attention in recent years.  While most of these articles focused on the effects of the time delays on the stability of the equilibrium points and on the bifurcation that they may raised,  ver... see more

In this paper, we consider a non-linear system of differential equations ofthird order with variable delay. We discuss the globally asymptotic stability/uniformly stability, boundedness and uniformly boundedness ofsolutionsfor the considered system. The t... see more

Purpose of the article: The article deals with a formulation of the dynamic model which expresses the relationship between the rate of inflation and the rate of unemployment more accurately and which has become to be known as the Phillips curve.... see more

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