SIR epidemic model
Estimation of Parameters in the SIR Epidemic Model Using Particle Swarm Optimization
... simple model that is an exponential and logistic growth ...logistical model and the SIR epidemic model. The logistic model has again determined its numerical solution for the ...
11
Global Analysis for a Delay-Distributed SIR Epidemic Model
... Abstract. One of the most tools for describing the incubation period in the epidemiological dynamic models is the distributed delays. In this paper, we propose a delay-distributed SIR epidemic model ...
6
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 ...
10
Dynamics of an SIR epidemic model with stage structure and pulse vaccination
... Motivated by the above studies, our study is to investigate transmission dynamics of an SIR epidemic model with stage structure and pulse vaccination. We assume that the ma- tured population ...
17
A fractional order SIR epidemic model with nonlinear incidence rate
... order SIR epidemic model with the Caputo fractional derivative and the specific functional response which covers various types of incidence rate existing in the ...our model, we have proved the ...
9
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 ...
16
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 ...
5
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 ...
7
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 ...the model through the basis ...
7
An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate
... of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission , J App Math, 2016; 16 ...an SIR epidemic model with nonlinear incidence rate and ...
9
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 ...
18
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 ...discrete model ...
12
Existence of a Nonautonomous SIR Epidemic Model with Age Structure
... nonautonomous SIR epidemic model with age structure is ...this model. We conclude our results and discuss some problems to this model in the ...
23
The Dynamic Properties of a Deterministic SIR Epidemic Model in Discrete Time
... deterministic SIR epidemic model with vertical and horizontal transmission is ...discrete SIR epidemic model into a planar ...
11
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 ...This model is constructed from the ...
16
A Stochastic Information Diffusion Model in Social Networks Based on SIR Epidemic Model
... 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 ...
7
Bifurcations for a deterministic SIR epidemic model in discrete time
... Susceptible-Infective-Recovered model (or SIR for short) in , a lot of glorious studies on the dynamics of epidemic models have been presented (see ...
16
Optimal Vaccination Strategies in an SIR Epidemic Model with Time Scales
... for model (1), which is a periodically driven ODE system, using Floquét ...in model (1) and use singular perturbation theory for analyzing ODE systems with different time scales ...of model (1) was ...
14
Global stability of the endemic equilibrium of a discrete SIR epidemic model
... SIS model to simulate the mumps infection in China from to ...the model simulation and the notifiable disease report demonstrates that our model can give a good prediction for infection ...
19
A stochastic SIR epidemic model with density dependent birth rate
... Here N(t) = S(t) + I(t) + R(t) and β > is the transmission coefficient, δ = α + γ + μ, and α is a non-negative constant and represents the death rate due to disease. γ > is the rate constant for recovery. They ...
12