We study an SV IR model of disease transmission with immigration into all four classes. Vaccinated individuals may only receive partial immunity to the disease, giving a leaky vaccine. The incidence function permits a nonlinear response to the number of infectives, so that mass action and saturating incidence are included as special cases. Because of the immigration of infected individuals, the...

Because the latent period and the infectious period of tuberculosis TB are very long, it is not reasonable to consider the time as constant. So this paper formulates a mathematical model that divides the latent period and the infectious period into n-stages. For a general n-stage stage progression SP model with bilinear incidence, we analyze its dynamic behavior. First, we give the basic reprod...

A deterministic compartmental model for the transmission dynamics of onchocerciasis with nonlinear incidence functions in two interacting populations is studied. The qualitatively analyzed to investigate its local asymptotic behavior respect disease-free and endemic equilibria. It shown, using Routh-Hurwitz criteria, that equilibrium locally asymptotically stable when associated basic reproduct...

background and purpose: the goal of this study is application of the proportional hazards model (ph) and accelerated failure time model (aft), with consideration weibull distribution, to determine the level of effectiveness of the factors affecting on the level of disease-free survival (dfs) of the patients with breast cancer. materials and methods: based on the retrospective descriptive studie...

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...

In this paper, a fractional-order model for the spread of computer viruses with saturated treatment rate is presented. This model consists of three components: Susceptible, Infectious, and Recovered. The SIR epidemic model with saturated treatment rate is considered. The stability of the disease free and endemic equilibrium points are studied. The global stability of the disease free equilibriu...

We study an SAIRS-type epidemic model with vaccination, where the role of asymptomatic and symptomatic infectious individuals is explicitly considered in transmission patterns disease. provide a global stability analysis for model. determine value basic reproduction number R0 prove that disease-free equilibrium globally asymptotically stable if R0<1. If R0>1, disease free unstable unique endemi...

The present work is concerned with the development of a new algorithm for determination of the equilibrium composition of gaseous detonations. The elements balance equations, and the second law of thermodynamics (i.e., the minimization of the Gibbs free energy of products), are used to determine the equilibrium composition of the detonation products. To minimize the Gibbs free energy with tradi...

An epidemiological model of TB with infectivity in latent period and imperfect treatment is introduced. As presented, sustained oscillations are not possible and the endemic proportions either approach the disease-free equilibrium or an endemic equilibrium. The expanded model that stratified the infectious individuals according to their time-since-infection θ is also carried out. The global asy...

In this research, we developed a coinfection model of tuberculosis and COVID-19 with the effect isolation treatment. We obtained two equilibria, namely, disease-free equilibrium endemic equilibrium. Disease-free is state in which no infection occurs. Endemic there occurs not only but also COVID-19. assumed that parameters follow uniform distribution, then, took 1,000 samples each parameter usin...