In this paper we study the susceptible-infectious (SI) epidemiological model using dynamical graphs. Dynamical structures have been recently applied in many areas including complex systems. Dynamical structures include the mutual interaction between the structure topology and the characteristics of its members. Dynamical graphs applied to epidemics consider generally that the nodes are individu...

Since the computer viruses pose a serious problem to individual and corporative computer systems, a lot of effort has been dedicated to study how to avoid their deleterious actions, trying to create anti-virus programs acting as vaccines in personal computers or in strategic network nodes. Another way to combat viruses propagation is to establish preventive policies based on the whole operation...

conclusions considering the high occurrence of the mortality and the injuries of the rtis compared to that of the other types of accidents, more attention to rtis in planning and interventions seems necessary. background road traffic injuries (rtis) are the leading cause of injuries and the second cause of mortality in iran. objectives the aim of this study was to investigate the epidemiologica...

there are few published reports on epidemiological studies concerning rubella in iran. the level of antibody in vaccinated individual’s declines gradually and the chances of infection in these people are much greater to those naturally immunized by infection. therefore, it seemed logical to determine the level of antibody in non vaccinated female students, aged from 18 to 26 years of isfahan un...

A model for the spread of an infection is analyzed for different population structures. The interactions within the population are described by small world networks, ranging from ordered lattices to random graphs. For the more ordered systems, there is a fluctuating endemic state of low infection. At a finite value of the disorder of the network, we find a transition to self-sustained oscillati...

The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even sociology, several are the fields that are using this epidemiological model as a first approach to better understand a situation. In this paper, the basic transmissio...

We consider vaccination control of the spread of an epidemy in a classical SIR model. Our approach aims at controlling the number infected at the peak. It differs from the widespread stationary vaccination control strategies, based upon having control reproductive number stricly less than one to ensure convergence, and also from cost minimization optimal control ones. Indeed, instead of aiming ...

This paper introduces a novel immuno-eco-epidemiological model of competition in which one of the species is affected by a pathogen. The infected individuals from species one are structured by time-since-infection and the within-host dynamics of the pathogen and the immune response is also modelled. A novel feature of the model is the impact of the species two numbers on the ability of species ...

In mathematical epidemiology, epidemic control often aims at driving the number of infected humans to zero, asymptotically. However, during the transitory phase, the number of infected individuals can peak at high values. Can we limit the number of infected humans at the peak? This is the question we address. More precisely, we consider a controlled version of the Ross-Macdonald epidemiological...

This article concerns the SIRC epidemiological model for influenza A, which efficiently describes the mechanism of disease spreading, including the susceptible (S), the infected (I) and the recovered (R), along with a crossimmune class (C) that recovers after being inflected by different strains of the same viral subtype. The dynamics of the model is completely determined by the basic reproduct...