[PDF] Top 20 Global Analysis for a Delay-Distributed SIR Epidemic Model

... the distributed delays. In this paper, we propose a delay-distributed SIR epidemic model with a nonlinear incidence ...the global asymptotic stability of the disease-free ... See full document

... The persistence and the pandemic threat of avian influenza as well as the very publicized cholera outbreak in Haiti have increased the awareness of diseases which transmit both directly and environmentally. Many recent ... See full document

... to delay a possible ...mathematical model to study the effect of both vaccination and quarantine on the spread of Ebola virus, they applied the vaccination strategy to the susceptible ...the global ... See full document

... diseases. Model building, analysis and ...Ruan, Global analysis of an epidemic model with nonmonotone incidence rate, ... See full document

... a global solution is important for the ...is global and ...Lyapunov analysis method mentioned in [] to show that the solution of system () is positive and ... See full document

... Kermack-Mckendrick model (1927) is the simple mass action  SI where  , S and I denote the transmission rate, the number of susceptible population and infectious population ...SEIR model that incorporates ... See full document

... the global stability of equilibria of the ...SIRS model in which time delay rep- resents the incubation period of an infective vector to investigate the epidemic spreading on a heterogeneous ... See full document

... new epidemic SEIRS model with time delay on complex net- works is ...the model are ...time delay on the basic reproductive number is ...time delay cannot change the basic ... See full document

... In this section, the global dynamics of system (1) is investigated numerically for different sets of initial values and different sets of parameters values. The objectives of such investigation are to determine ... See full document

... of epidemic disease incorporated a modified SIR epidemic model with generalized incidence ...ity analysis of the disease-free equilibrium and endemic equilibrium with a nonlinear ... See full document

... time delay into susceptible and infective individuals in transmission rate, although only in the first equation becomes imperative since susceptible individuals infected at time t   are expected to just as they ... See full document

... discrete epidemic models is motivate by the fact that there oc- cur situations such that constructing discrete epidemic models is more appro- priate approach to understand disease transmission dynamics and ... See full document

... the global asymptotic sta- bility of disease-free equilibrium and discuss the existence of endemic ...the model by using discrete-time analogue of Lyapunov func- tional ...different epidemic ... See full document

... an analysis of childhood diseases using epidemiological models of the SIR type does not, however, take into consideration the possibility of different time scales for such diseases vis the human population ... See full document

... the model and its dynamics may be found in ...the epidemic system ...and global stability of the equilibrium points have been researched by using Lyapunov function and Dulac ... See full document

... Susceptible-Infective-Recovered model (or SIR for short) in , a lot of glorious studies on the dynamics of epidemic models have been presented (see ...and global stability of the ... See full document

... diffusion model with random perturbation in social networks, which is based on SIR deterministic epidemic ...diffusion model for any positive initial value, investigate the stochastic ... See full document

... To understand and describe a system under study, we need a number of con- cepts. In the study of dynamic systems, stage is a crucial concept. After specify- ing what defines a stage, we can describe how continuous matter ... See full document

... with SIR-type models with linear incidence rate [9– ...an SIR epidemic model using the Caputo fractional ...order SIR model with nonlinear incidence rate given ... See full document

... In this paper, we prove the existence and uniqueness of a nonnegative solution of the model 2.2 on any finite time-interval. Our results are based on a process of the age- dependent problem for the susceptible the ... See full document