In order to analyze the effect of vaccination in a population with presence viruses, variation SIR (Susceptible-Infected-Removed) model is proposed taking into account social distancing and vaccine. The equilibrium points are calculated stability analysis system carried out. For model, disease-free point endemic found conditions existence discussed. bifurcation derived simulations show that red...

In this paper, we study a kind of the delayed SEIQR infectious disease model with the quarantine and latent, and get the threshold value which determines the global dynamics and the outcome of the disease. The model has a disease-free equilibrium which is unstable when the basic reproduction number is greater than unity. At the same time, it has a unique endemic equilibrium when the basic repro...

Mathematical model is used to describe the dynamics of spread malaria in human and mosquito populations. The SEIR-SI model. This study discusses stability equilibrium point, parameter sensitivity, numerical simulation malaria. analysis shows that has two points, namely disease-free endemic each which locally asymptotically stable. Numerical simulations show occurrence disease cure exposed human...

As shown by Jarzynski, free energy differences between equilibrium states can be expressed in terms of the statistics of work carried out on a system during non-equilibrium transformations. This exact result, as well as the related Crooks fluctuation theorem, provide the basis for the computation of free energy differences from fast switching molecular dynamics simulations, in which an external...

Abstract. A model is developed for the spread of an infectious disease in a population with constant recruitment of new susceptibles and the fundamental properties of its solutions are analyzed. The model allows for arbitrarily many stages of infection all of which have general length distributions and disease mortalities. Existence and uniqueness of solutions to the model equations are establi...

This study discusses the spread of Covid-19 disease by including new variant variables. The model used SIVRS assumes there are deaths caused and Covid-19. In addition, individuals who have been infected with can recover. Based on model, disease-free equilibrium points endemic obtained. analysis was carried out around point result that global asymptotically stable condition R0<1. Furthermore,...

An eco-epidemiological model involving competition regarding the predator and quarantine on infected prey is studied. The divided into three compartments, namely susceptible, infected, prey, while only attacks due to its weak condition caused by disease. To include memory effect, Caputo fractional derivative employed. validated showing existence, uniqueness, non-negativity, boundedness of solut...

An SEI model with distributed delay is proposed where the transmission and the death rates depend on the age of infection. The basic reproduction number R0 is identified as a threshold quantity for the stability of equilibria. If R0 < 1, then the disease-free equilibrium is globally asymptotically stable and the disease dies out. On the contrary, ifR0 > 1, then a locally asymptotically stable e...