In this work an HIV-1 infection model with nonlinear incidence rate and distributed intracellular delays and with humoral immunity is investigated. The disease transmission function is assumed to be governed by general incidence rate f(T, V)V. The intracellular delays describe the time between viral entry into a target cell and the production of new virus particles and the time between infectio...

We consider the problem of traveling with least expected delay in networks whose link delays change probabilistically according to Markov chains. This is a typical routing problem in dynamic multisatellite networks. We formulate several optimization problems, posed on infinite and finite horizons, and consider them with and without using memory in the decision making process. We prove that all ...

Abstract In this paper, we have introduced the S-type distributed delays into the Cohen-Grossberg neural networks since this type of delays may arise in practice and is more general than usual type of distributed delays. In order to use the topological degree method in providing the existence of the equilibrium except for zero equilibrium, some new analysis techniques are demonstrated. Moreover...

in this paper, the problem of decentralized model reference adaptive control (mrac) for a class of large scale systems with time varying delay in interconnected term and input and state delays is studied. to compensate the effect of input delay indirectly, a smith predictor built on. to handle the effects of the time delays in input, the adaptive controller part includes two auxiliary dynamic f...

Cosmic Rays (CR) travel at speeds essentially indistinguishable from the speed of light. However whilst travelling through magnetic fields, both regular and turbulent, they are delayed behind the light since they are usually charged particles and their paths are not linear. Those delays can be so long that they are an impediment to correctly identifying sources which may be variable in time. Fu...

In this paper, by incorporating the general delay to reaction term in memory-based diffusive system, we propose a system with memory and (e.g., digestion, gestation, hunting, migration maturation delays, etc.). We first derive an algorithm for calculating normal form of Hopf bifurcation proposed system. The developed can be used investigate direction stability bifurcation. As real application, ...

We examine the problem of transmitting in minimum time a given amount of data between a source and a destination in a network with finite channel capacities and nonzero propagation delays. In the absence of delays, the problem has been shown to be solvable in polynomial time. In this paper, we show that the general problem is NP-complete. In addition, we examine transmissions along a single pat...

A nonautonomous Leslie-Gower type food chain model with time delays is investigated. It is proved the general nonautonomous system is permanent and globally asymptotically stable under some appropriate conditions. Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence, uniqueness, and global asymptotic stability of a positive period...