ANALYSIS OF A NONAUTONOMOUS HIV/AIDS EPIDEMIC MODEL WITH DISTRIBUTED TIME DELAY

Permanence and extinction for a nonautonomous SVIR epidemic model with distributed time delay∗

In this paper we have considered a nonautonomous SV IR epidemic model with varying total population size and distributed time delay to become infectious. Instead of assuming that vaccinees gain immunity immediately, we have assumed that they are different from susceptible and recovered persons and it takes some time for them to gain immunity and then enter into the recovered class. Here, we hav...

A Nonautonomous Discrete Epidemic Model with Isolation

For a nonautonomous discrete SIQR model, we obtain conditions for permanence and extinction of the disease and we establish the global asymptotical stability when our conditions determine extinction. We also discuss the particular autonomous and periodic situations, where our conditions are sharp thresholds between permanence and extinction of the disease. AMS Subject Classifications: 92D30, 37...

Analysis of an SIR Epidemic Model with Pulse Vaccination and Distributed Time Delay

Pulse vaccination, the repeated application of vaccine over a defined age range, is gaining prominence as an effective strategy for the elimination of infectious diseases. An SIR epidemic model with pulse vaccination and distributed time delay is proposed in this paper. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection-free periodic solution o...

Stabilization of a Type III Thermoelastic Bresse System with Distributed Delay-time

In this paper, we investigate a Bresse-type system of thermoelasticity of type III in the presence of a distributed delay. We prove the well-posedness of the problem. Furthermore, an exponential stability result will be shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semigroup method and the energy method.

Existence of a Nonautonomous SIR Epidemic Model with Age Structure