Periodic Trajectories for HIV Dynamics in a Seasonal Environment With a General Incidence Rate
Miled El Hajji, Rahmah Mohammed Alnjrani
Abstract
In this paper, we propose a five-dimensional nonlinear system of differential equations for the human immunodeficiency virus (HIV) including the B-cell functions with a general nonlinear incidence rate. The compartment of infected cells was subdivided into three classes representing the latently infected cells, the short-lived productively infected cells, and the long-lived productively infected cells. The basic reproduction number was established, and the local and global stability of the equilibria of the model were studied. A sensitivity analysis with respect to the model parameters was undertaken. Finally, some numerical simulations are presented to illustrate the theoretical findings.
Topics & Concepts
MathematicsNonlinear systemBasic reproduction numberHuman immunodeficiency virus (HIV)Stability (learning theory)Compartment (ship)Incidence (geometry)Dynamics (music)ReproductionApplied mathematicsSensitivity (control systems)Statistical physicsVirologyDemographyBiologySociologyComputer scienceEcologyPhysicsGeometryHistoryElectronic engineeringMachine learningPedagogyAncient historyQuantum mechanicsPopulationEngineeringMathematical and Theoretical Epidemiology and Ecology Models