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SEIR Model

Global stability of an SEIR model with infectious force in latent and infected

Global stability of an SEIR model with infectious force in latent and infected

... Abstract. This paper considers an SEIR model with infectious force in latent and infected. By means of Lyapunov function and LaSalles invariant set theorem, we proved the global asymptotical stable results ...

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SEIR Model and Simulation for Vector Borne Diseases

SEIR Model and Simulation for Vector Borne Diseases

... This theory is further applied to a vector borne disease namely malaria. SEIR model is formulated for both human as well as for vector population. Analysis is done for the combined effect of both the ...

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SEIR Model for Transmission of Dengue Fever

SEIR Model for Transmission of Dengue Fever

... and SEIR model [5] had been ...both model is in the SIR model, latent period is excluded as one of the variables whereas in the SEIR model, the latent period is included as ...

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Pandemic and the Dynamics of SEIR Model: Case COVID-19

Pandemic and the Dynamics of SEIR Model: Case COVID-19

... and SEIR models. The Kermack-Mckendric SIR model is a very well established model and used widely for various epidemics ...an SEIR model is mostly used [10]. Therefore, the model ...

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Rumor spreading of a SEIR model in complex social networks with hesitating mechanism

Rumor spreading of a SEIR model in complex social networks with hesitating mechanism

... equilibrium and the permanence are proved in detail, and the global attractivity of the rumor-prevailing equilibrium is proved by using a monotone iterative technique. Furthermore, the modified model with feedback ...

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Analysis of an SEIR Epidemic Model with a General Feedback Vaccination Law

Analysis of an SEIR Epidemic Model with a General Feedback Vaccination Law

... deterministic SEIR model (1)-(6) under a linear limiting control satisfying the conditions of Theorem 1 is locally uniformly asymptotically stable. In the presence of distributed delay, the system is still ...

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Measuring the Evolution and Influence in Society’s Information Networks

Measuring the Evolution and Influence in Society’s Information Networks

... to SEIR model, studying the problem of informa- tion spreading on the complex social networks has an important scientific significance for the authoritative or- ganizations to make effective control ...

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On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission

On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission

... 4. Discussion. In this paper, we studied a general SEIR model with vertical trans- mission for the dynamics of an infectious disease. We assumed that a fraction p and a fraction q of the offspring from the ...

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The SIR and SEIR Epidemiological Models Revisited

The SIR and SEIR Epidemiological Models Revisited

... and SEIR epidemiological models regarding possible applications to the COVID-19 ...and SEIR models continue to provide valuable public health insights in some ...the SEIR model shows that if ...

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2019 Novel Coronavirus: Where We are and What We Know

2019 Novel Coronavirus: Where We are and What We Know

... to model the real time spread of the ...a model, the outbreak boundary control decision support framework, released last December, which integrates the dynamics of the outbreak and outbreak control of the ...

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Transmission potential of influenza A/H7N9, February to May 2013, China

Transmission potential of influenza A/H7N9, February to May 2013, China

... Bayesian SEIR model-fitting approach is based on the progression of case incidence; our analyses suggest that currently available A/H7N9 data provide relatively limited information, so that the inference ...

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Key transmission parameters of an institutional outbreak during the 1918 influenza pandemic estimated by mathematical modelling

Key transmission parameters of an institutional outbreak during the 1918 influenza pandemic estimated by mathematical modelling

... (SEIR) model for infectious diseases can be applied to a hypothetical isolated population, to investigate local infection dynam- ics ...The SEIR model allows a systematic method by which to ...

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Extracting the time dependent transmission rate from infection data via solution of an inverse ODE problem

Extracting the time dependent transmission rate from infection data via solution of an inverse ODE problem

... We illustrate the extraction algorithm for the SEIR model with variable vital rates, using UK measles data from 1948 to 1956. The Fourier transform of our extracted transmission rate function shows dominant ...

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Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles

Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles

... Γ ( α + 1 ) , we use a method similar to that was introduced in Demirici and Özalp [54] to find approximate solutions to initial value FDE problems. We use that method here to simulate the solution of the FDE measles ...

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Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies

Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies

... The rest organization of this article is arranged as follows: In Section 2, we present the model. In Section 3, we illustrate the main results and proof the main results in details. In Section 4, we provide the ...

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Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period

Hopf bifurcation analysis of a delayed SEIR epidemic model with infectious force in latent and infected period

... the model (see, ...age-structured SEIR epidemic ...an SEIR model with distributed infinite time delay when the infectivity depends on the age of ...an SEIR epidemic model with two ...

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Numerical Solution For Spread Of Tuberculosis Model With Perturbation Homotopy Method (MPH)

Numerical Solution For Spread Of Tuberculosis Model With Perturbation Homotopy Method (MPH)

... b. Inputting the data into equations obtained as a form of completion of the SEIR model using MPH with the help of Maple or MAPLE 17 software. From these results obtained numerical results and plotting ...

5

Global Stability Analysis of the SEIR Deterministic Model in the Presence of Treatment at the Latent Period

Global Stability Analysis of the SEIR Deterministic Model in the Presence of Treatment at the Latent Period

... of transfer from one compartment to another compartment. SEIR model is presented in this paper. Some related studies were done on SEIR model [11-16]. Since treatment plays a major role in ...

7

A SEIR Epidemic Model with Infectious Population Measurement

A SEIR Epidemic Model with Infectious Population Measurement

... two ones (namely, the “ infected” which incubate the disease but do not still have any disease symptoms and the “ infectious” or “ infective” which do have the external disease symptoms). Those models have also two major ...

5

Global dynamics of an SEIR epidemic model with discontinuous treatment

Global dynamics of an SEIR epidemic model with discontinuous treatment

... equilibrium becomes unstable and there exists a unique endemic equilibrium which is globally stable. The numerical simulations indicate that strengthening treatment measures after infective individuals reach some level ...

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