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[PDF] Top 20 Bifurcations for a deterministic SIR epidemic model in discrete time

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Bifurcations for a deterministic SIR epidemic model in discrete time

Bifurcations for a deterministic SIR epidemic model in discrete time

... the epidemic models, there has been a lot of research focusing on the case of contin- uous time (see [–] and that cited ...However, discrete-time models (also called difference equations) ... See full document

16

Bifurcations of a two dimensional discrete time predator–prey model

Bifurcations of a two dimensional discrete time predator–prey model

... of bifurcations about equilibria of the discrete-time model (4) In this section based on theoretical studies in ...corresponding bifurcations about the equilibria O(0, 0), A( α 1 ... See full document

23

The Dynamic Properties of a Deterministic SIR Epidemic Model in Discrete Time

The Dynamic Properties of a Deterministic SIR Epidemic Model in Discrete Time

... of discrete deterministic SIR epidemic model with vertical and horizontal transmission is ...the discrete SIR epidemic model into a planar ... See full document

11

Bifurcations and chaos in a discrete SI epidemic model with fractional order

Bifurcations and chaos in a discrete SI epidemic model with fractional order

... in discrete times and hence comparing data with output of a discrete model may be easier ...of discrete fractional-order epidemic models may exhibit phenomena such as the ... See full document

19

Dynamics of a discretized SIR epidemic model with distributed delay and generalized saturation incidence

Dynamics of a discretized SIR epidemic model with distributed delay and generalized saturation incidence

... of epidemic are collected and reported in discrete time, dis- crete model is more practical significance than continuous ...following discrete SIRS epidemic model which is ... See full document

16

Stability Analysis for a Discrete SIR Epidemic Model with Delay and General Nonlinear Incidence Function

Stability Analysis for a Discrete SIR Epidemic Model with Delay and General Nonlinear Incidence Function

... important to notice that the software used is Scilab and the time is in term of weeks or months. In our graphic the red curve give the evolution of the class in the discrete model and the dashed ones ... See full document

16

On the use of Discrete – Time Markov Process for HIV/AIDs Epidemic Modelling

On the use of Discrete – Time Markov Process for HIV/AIDs Epidemic Modelling

... various model compartment are ...a discrete time deterministic and stochastic Susceptible, Infective, and Susceptible (SIS) ...a discrete time deterministic and stochastic ... See full document

8

Global stability of the endemic equilibrium of a discrete SIR epidemic model

Global stability of the endemic equilibrium of a discrete SIR epidemic model

... In the application of the SIR model, the simulation time unit is taken as one day. All the parameter values will be estimated on the basis of that time unit. From the statistical yearbook of ... See full document

19

Epidemic Propagation: An Automaton Model as the Continuous SIR Model

Epidemic Propagation: An Automaton Model as the Continuous SIR Model

... an epidemic will start and how it will ...both deterministic and stochastic ones, which describe the evolution of population, can surely support this ...aim. SIR models, introduced for the first ... See full document

6

Bifurcation and Stability Analysis of a Discrete Time Sir Epidemic Model with Vaccination

Bifurcation and Stability Analysis of a Discrete Time Sir Epidemic Model with Vaccination

... by discrete time, which point to, that there are particular time instants at which the basic events in the system can occur, and it is not essential that at these discrete time instants ... See full document

12

The deterministic Kermack McKendrick model bounds the general stochastic epidemic

The deterministic Kermack McKendrick model bounds the general stochastic epidemic

... any time t > 0 and at the end of an epidemic, the mean number of susceptibles in the general stochastic SIR epidemic is strictly larger than the number of suscepibles in the corresponding ... See full document

15

Dynamics of an SIR epidemic model with stage structure and pulse vaccination

Dynamics of an SIR epidemic model with stage structure and pulse vaccination

... of a mature infectious individual per unit time. r stands for the recovery rate of the mature infectious individual. The mature susceptible is birth pulse with intrinsic rate of natural increase and density ... See full document

17

A fractional order SIR epidemic model with nonlinear incidence rate

A fractional order SIR epidemic model with nonlinear incidence rate

... In the above Figs. 1 and 2, we show that the solutions of (2) converge to the equilibrium points for different values of α, which confirms the theoretical results. In addition, the model converges rapidly to its ... See full document

9

Stability Analysis of a Deterministic Epidemic Model in Metapopulation Setting

Stability Analysis of a Deterministic Epidemic Model in Metapopulation Setting

... as SIR epidemic model. This SIR or SI epidemic model is very significant in todays analysis of ...diseases. SIR Model: The SIR model labels these ... See full document

13

A stochastic SIR epidemic model with density dependent birth rate

A stochastic SIR epidemic model with density dependent birth rate

... on SIR [], many models for the transmission of infectious have descended (see ...an SIR in a closed population, with no births and ...the model more realistic, more recent studies consider an ... See full document

12

Asymptotic Behavior and Stability of Stochastic SIR Model with Variable Diffusion Rates

Asymptotic Behavior and Stability of Stochastic SIR Model with Variable Diffusion Rates

... becomes the model which has been discussed in [16]. In [16], Tornatore proved the stability of disease-free equilibrium under some restricted conditions. However, they didn’t consider the dynamics of the endemic ... See full document

14

The Full Potential of Continuous System Simulation Modelling

The Full Potential of Continuous System Simulation Modelling

... the model size grows linearly with the number of objects described, but it can easily ac- commodate many attributes (even unique identities and space coordinates), and an agent’s or entity’s sojourn time in ... See full document

47

Global analysis of an SEIRS epidemic model with new modulated saturated incidence

Global analysis of an SEIRS epidemic model with new modulated saturated incidence

... mathematical model, the SEIRS model has been adopted and different analyses to test for the stability of disease free epidemic equilibrium of the ... See full document

11

Stability Analysis of an SIR Epidemic Model with Non Linear Incidence Rate and Treatment

Stability Analysis of an SIR Epidemic Model with Non Linear Incidence Rate and Treatment

... In this paper, we have carried out the stability of the equilibrium states using some of the tested parameters from literature reviewed in this paper. The simulation is carried out using numerical software called ... See full document

7

A Stochastic Information Diffusion Model in Social Networks Based on SIR Epidemic Model

A Stochastic Information Diffusion Model in Social Networks Based on SIR Epidemic Model

... the SIR model for information diffusion on social networks, the present paper studies the global dynamics of the stochastic information diffusion model ... See full document

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