SIR epidemic
Qualitative Analysis of SIR Epidemic Models in two Competing Species
... diseases depend on subdividing the population into a set of distinctive classes dependent upon experience with respect to the relevant disease. In our work we will classify individuals as either a susceptible individual ...
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Global Analysis for a Delay-Distributed SIR Epidemic Model
... an SIR epidemic model with distributed delay. An SIR model with distributed delay was studied in [3, 16, ...an SIR model with nonlinear incidence. To analyze the stability of epidemic ...
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An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate
... SVEIS epidemic model for an infectious disease spreads in the host population through horizontal transmission and the role that temporary immunity plays in the spread of ...an SIR epidemic model with ...
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Stability and Hopf bifurcation analysis of SIR epidemic model with time delay
... A delayed SIR epidemic model in which the susceptible are assumed to satisfy the logistic equation will be taken up for detailed study. The locally asymptotical stability of the disease-free equilibrium and ...
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Estimation of Parameters in the SIR Epidemic Model Using Particle Swarm Optimization
... It should be emphasized here, in other studies that have been done before, the parameters to be determined using PSO are parameters of functions or functions that are explicitly available. The GreenHouse model in [11] ...
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Dynamics of an SIR epidemic model with stage structure and pulse vaccination
... In this work, we consider an SIR epidemic model with state structure and pulse vaccina- tion at different fixed moments. We prove that all solutions of system () are uniformly ultimately bounded. The ...
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Optimal Vaccination Strategies of an SIR Epidemic Model with a Saturated Treatment
... Abstract In the present work, we consider a mathe- matical model of an SIR epidemic model with saturated incidence rate and saturated treatment function. We use an optimal vaccination strategies to minimize ...
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A fractional order SIR epidemic model with nonlinear incidence rate
... 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 ...
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The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models
... an SIR epidemic on a net- work which allows an individual’s infectious period, and the time it takes to contact each of its neighbours after becoming infected, to be ...expected epidemic size ...
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Asymptotic behavior of a regime switching SIR epidemic model with degenerate diffusion
... In this paper, we consider a stochastic SIR epidemic model with regime switching. The Markov semigroup theory will be employed to obtain the existence of a unique stable stationary distribution. We prove ...
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Nonlinear state dependent feedback control strategy in the SIR epidemic model with resource limitation
... The SIR epidemic model with resource limitation including a nonlinear impulsive function and a state-dependent feedback control scheme is proposed and ...
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Stability Analysis of an SIR Epidemic Model with Non Linear Incidence Rate and Treatment
... of epidemic disease incorporated a modified SIR epidemic model with generalized incidence ...pf SIR epidemic model with and without ...
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An NSFD scheme for SIR epidemic models of childhood diseases with constant vaccination strategy
... In this paper, we construct a nonstandard finite difference (NSFD) scheme for an SIR epidemic model of childhood disease with constant strategy. The dynamics of the obtained discrete model is investigated. ...
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Dynamics of a discretized SIR epidemic model with distributed delay and generalized saturation incidence
... discrete SIR epidemic model is proposed, which distributed delay, generalized saturating incidence rate and disease-induced mortality are taken into ...
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Existence of a Nonautonomous SIR Epidemic Model with Age Structure
... A nonautonomous SIR epidemic model with age structure is studied. Using integro-differential equation and a fixed point theorem, we prove the existence and uniqueness of a positive solution to this model. We ...
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Stability Analysis for a Discrete SIR Epidemic Model with Delay and General Nonlinear Incidence Function
... In this paper, we construct a backward difference scheme for a class of SIR epidemic model with general incidence f . The step size τ used in our dis- cretization is one. The dynamical properties are ...
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The Dynamic Properties of a Deterministic SIR Epidemic Model in Discrete Time
... In this paper, a class of discrete deterministic SIR epidemic model with vertical and horizontal transmission is studied. Based on the population assumed to be a constant size, we transform the discrete ...
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Bifurcation and Stability Analysis of a Discrete Time Sir Epidemic Model with Vaccination
... time 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 ...
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A Stochastic Information Diffusion Model in Social Networks Based on SIR Epidemic Model
... E is unstable and there is an endemic equilibrium E * of (1), which is globally asymptotically stable under the sufficient condition, then the disease will be persistent. Based on the above motivation, our research on ...
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Bifurcations for a deterministic SIR epidemic model in discrete time
... Since Kermack and McKendrick [] proposed the Susceptible-Infective-Recovered model (or SIR for short) in , a lot of glorious studies on the dynamics of epidemic models have been presented (see [–]). ...
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