‎Hepatitis B virus (HBV) infection is a major public health problem in the world today‎. ‎A mathematical model is formulated to describe the spread of hepatitis B‎, ‎which can be controlled by vaccination as well as treatment‎. ‎We study the dynamical behavior of the system with fixed control for both vaccination and treatment‎. ‎The results shows that the dynamics of the model is completely de...

We formulate compartmental differential susceptibility (DS) susceptible-infective-removed (SIR) models by dividing the susceptible population into multiple subgroups according to the susceptibility of individuals in each group. We analyze the impact of disease-induced mortality in the situations where the number of contacts per individual is either constant or proportional to the total populati...

The paper presents the vector-host disease with a variability in population. We assume, the disease is fatal and for some cases the infected individuals become susceptible. We first show the local and global stability of the disease-free equilibrium, for the case when R 0 < 1. We also show that for R 0 < 1, the disease free-equilibrium of the model is both locally as well as globally stable. Fo...

Malaria is an infectious disease caused by the bite of female Anopheles mosquitoes. There are four species, namely, Plasmodium vivax, Plasmodium falciparum, Plasmodium ovale and Plasmodium malariae causing human malaria. The difference between P.vivax malaria and P. falciparum malaria is that a person suffering from P. vivax infection can suffer relapses of the disease. The effect of a time del...

Abstract: An epidemic model with awareness campaign driven by media on the prevalence of infectious diseases is studied considering delay. The aim is to investigate the effect of awareness campaign and delay in disease control. Time delay factor is considered because susceptible individual takes some time to become aware of the disease and take the necessary control methods. The system exhibits...

A general disease transmission model of SIRS type is formulated and analyzed. There is constant recruitment into the susceptible class, mass action incidence, and stage age in the removed class. Disease fatalities occur in the infective class and the removed stages. Sufficient conditions are given for the endemic equilibrium to be globally asymptotically stable. For example, if the disease conf...

A multi-stage model of disease transmission, which incorporates a generalized non-linear incidence function, is developed and analysed qualitatively. The model exhibits two steady states namely: a disease-free state and a unique endemic state. A global stability of the model reveals that the disease-free equilibrium is globally asymptotically stable (and therefore the disease can be eradicated)...

An epidemic model with distributed time delay is derived to describe the dynamics of infectious diseases with varying immunity. It is shown that solutions are always positive, and the model has at most two steady states: disease-free and endemic. It is proved that the disease-free equilibrium is locally and globally asymptotically stable. When an endemic equilibrium exists, it is possible to an...

We will study a mathematical model on the human immunodeficiency virus (HIV) infection in the presence of combination therapy that includes within-host infectious dynamics in the context of disease spread in vivo. The deterministic model requires us to analyze asymptotic stability of two distinct steady states, disease-free and endemic equilibria. Previous results have focused on investigating ...

-The disease dynamics and progression of HIV-MTCT over a period of time and disease transmission and susceptible simulation model (DTSM-MODEL) were computed by different reproduction numbers for each time interval with set of fixed values of the parameters. As per the model, study found that placental absorption ,prolonged breast feeding and absence of ARV at the onset of birth or delivery, aft...