We investigate the global dynamics of an HIV infection model with two classes of target cells and multiple distributed intracellular delays. The model is a 5-dimensional nonlinear delay ODEs that describes the interaction of the HIV with two classes of target cells, CD4 T cells and macrophages. The incidence rate of infection is given by saturation functional response. The model has two types o...

This paper investigates the exponential stability of uncertain time delay systems using a novel descriptor redundancy approach based on partitioning. First, original system is casted into an equivalent singular state–space representation by introducing redundant state variables so that resulting progressively reduced. From model and applying Lyapunov Functional method, sufficient condition Line...

This work studies certain perturbed and un-perturbed nonlinear systems of continuous discrete integro-delay differential equations (IDDEs). Using the Lyapunov–Krasovskii functional (LKF) method Lyapunov–Razumikhin (LRM), uniform asymptotic stability (UAS), (US), integrability boundedness solutions as well exponential (ES) instability are discussed. In this paper, five new theorems a corollary g...