[PDF] Top 20 An epidemic model with density dependent parameters and vaccination

... SUMMARY AND CONCLUSIONS In this paper we have studied a simple mathematical epidemic model with vaccination There are three possible equilibrium situations which arise Equilibrium wth po[r] ... See full document

... SIRS epidemic model with a nonlinear incidence rate and ...the model. We calculate the basic reproduction number of the proposed model by using the next generation matrix ... See full document

... matical model of an SIR epidemic model with saturated incidence rate and saturated treatment ...optimal vaccination strategies to minimize the susceptible and infected individuals and to ... See full document

... The present paper is to introduce birth pulse of the population, state structure and pulse vaccination into SIR epidemic model and obtain some important qualitative properties for the investigated ... See full document

... SIR epidemic model with vaccination and obtained the con- ditions for the existence of the equilibrium points and discussed the stability of the system at DFE and EE ...discrete model exhibits ... See full document

... between compartments S and I, μ is the natural death rate per capita, p represents the pro- portional coefficient of vaccinated for the susceptible, γ is the recovery rate, ε is the rate of losing immunity for vaccinated ... See full document

... -type epidemic model of pseudo-mass action type with finitely distributed delays under a very general, and in general time-varying, vaccination control rule which eventually generates feedback ... See full document

... SIR epidemic model, which two noninteracting susceptible subclasses, the nonlinear incidence  S I p , time delay and pulse vaccination are ...the model and establish sufficient conditions ... See full document

... SEIR epidemic model with pulse vaccination and restricting the infected disper- ...pulse vaccination and impulsive dispersal have influence to the dynamical behaviors of the investigated ... See full document

... Based on the above motivation, the present paper studies the global dynamics of a SEIRS epidemic model with non-linear generalized incidences and preventive vaccination. The structure of the paper is ... See full document

... pulse vaccination rate is larger than , the latent period is longer than and the infectivity period is shorter than ...SVEIRS epidemic model with pulse vaccination and saturated ...pulse ... See full document

... SEIR epidemic models. General description of epidemic models and some mathematical analysis on them is given in some classical ...alternative epidemic models, see, for in- stance, ...general ... See full document

... susceptible-infection-vaccinated epidemic model with proportional vaccination and generalized nonlinear rate is formulated and investigated in the ...stochastic epidemic model admits a ... See full document

... Some interesting topics deserve further consideration. On the one hand, one may pro- pose some more realistic but complex models, such as considering the effects of impulsive perturbations on system (1.3). On the other ... See full document

... We investigated the influence of time scales on the sta- bility of the uninfected solution. In the simulation, we considered the specific case of a periodic parameter in- cluding contact rate and vaccination rate. ... See full document

... Epidemiology is the study of the spread of diseases with the objective to trace factors that are responsible for or contribute to their occurrence. Significant progress has been made in the theory and application of ... See full document

... as density of population and life style [18, ...massive vaccination is impossible, the second stage of defensive mechanism could be medical ...some epidemic models under different conditions (see, for ... See full document

... 2. The model. Assume that the susceptible individuals are vaccinated at a constant rate v, which in turn implies that the total rate of vaccination of individuals in the population is vS. After ... See full document

... of vaccination with imperfect immunity, SVIR epidemic models are often formulated, in which the total population is subdivided into the suscepti- ble (S), vaccinated (V ), infective (I) and recovered (R) ... See full document

... Abstract. In this paper, we study the dynamical behavior of a stochastic SIRS epidemic model with specific non- linear incidence rate and vaccination. We show the existence and positivity of the ... See full document