Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon
which the theory of limit cycles has a significant impact for both theoretical advances and …

The establishment of methods to recover rhabdoviruses from cDNA, so-called reverse
genetics systems, has made it possible to genetically engineer rhabdoviruses and to study …

Uncertainty always lives with us. We cannot take exact measurement of initial conditions or
parameters values in a mathematical model. As humans, we are remaining alive in an …

In this work, biologically-inspired computing framework is developed for HIV infection of
CD4+ T-cell model using feed-forward artificial neural networks (ANNs), genetic algorithms …

A viral infection model with nonlinear incidence rate and delayed immune response is
investigated. It is shown that if the basic reproduction ratio of the virus is less than unity, the …

This study involves the mathematical modelling of long-term HIV dynamics. The proposed
model is able to predict the entire trajectory of the disease: initial viremia in the early weeks …

In this paper, we study the global dynamics of a viral infection model with a latent period.
The model has a nonlinear function which denotes the incidence rate of the virus infection in …

Considering two kinds of delays accounting, respectively, for (i) a latent period between the
time target cells are contacted by the virus particles and the time the virions enter the cells …

A virus dynamics model for HIV or HBV is studied, which incorporates saturation effects of
immune responses and an intracellular time delay. With the aid of persistence theory and …

In this paper, we rigorously analyse an ordinary differential equation system that models
fighting the HIV-1 virus with a genetically modified virus. We show that when the basic …