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Nonstandard Finite Difference Scheme for the Epidemic Model with Vaccination
For the epidemic model with vaccination we present a new nonstandard finite difference scheme by using an exponential integrator to discretize...
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OPTIMAL CONTROL OF AN SIR EPIDEMIC MODEL BASED ON DYNAMIC PROGRAMMING APPROACH
This paper investigates optimal control of a susceptible-infected-recovered (SIR) epidemic model using the dynamic programming approach. In fact, our...
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Comparative study of physics-based model and machine learning model for epidemic forecasting and countermeasure
Forecasting the transmission patterns of infectious diseases is of paramount importance in gaining valuable insights into outbreak growth and...
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Epidemic forecast follies
We introduce a simple multiplicative model to describe the temporal behavior and the ultimate outcome of an epidemic. Our model accounts, in a...
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Dynamic Analysis of Nonlinear Stochastic ROTA Virus Epidemic Model
Rotavirus is an entirely transmissible virus that causes diarrhea. It has the ability to weather to attribute to the pathogens’ various modes of...
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SIRC epidemic model with cross-immunity and multiple time delays
Multi-strain diseases lead to the development of some degree of cross-immunity among people. In the present paper, we propose a multi-delayed SIRC...
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Final epidemic size of a two-community SIR model with asymmetric coupling
Communities are commonly not isolated but interact asymmetrically with each other, allowing the propagation of infectious diseases within the same...
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An epidemic model with short-lived mixing groups
Almost all epidemic models make the assumption that infection is driven by the interaction between pairs of individuals, one of whom is infectious...
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Spatial Propagation for an Epidemic Model in a Patchy Environment
This paper investigates the propagation dynamics for an epidemic model with nonlinear incidence rates in a patchy environment. Giving a general...
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A Novel Analysis Approach of Uniform Persistence for an Epidemic Model with Quarantine and Standard Incidence Rate
Inspired by the transmission characteristics of the Coronavirus disease 2019 (COVID-19), an epidemic model with quarantine and standard incidence...
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Dynamics analysis and optimal control of delayed SEIR model in COVID-19 epidemic
The coronavirus disease 2019 (COVID-19) remains serious around the world and causes huge deaths and economic losses. Understanding the transmission...
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Dynamical Behavior of the Heroin Epidemic Model on a Finite Weighted Network
We are concerned with a heroin epidemic model with relapse on a finite weighted network. The well-posedness of solutions to this problem is...
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The Rionero’s special type of Lyapunov function and its application to a diffusive epidemic model with information
We consider a SIR-like reaction-diffusion epidemic model which embeds opinion-driven human behavioural changes. We assume that the contagion rate is...
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Spontaneous Infection and Periodic Evolving of Domain in a Diffusive SIS Epidemic Model
In this paper, we consider a susceptible-infective-susceptible (SIS) reaction-diffusion epidemic model with spontaneous infection and logistic source...
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Dynamic analysis of an Ebola epidemic model incorporating limited medical resources and immunity loss
In this paper, we establish an Ebola epidemic model incorporating limited medical resources and immunity loss, and also consider the tracking and...
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Dynamics of two-strain epidemic model with imperfect vaccination on complex networks
Vaccination is widely recognized as a powerful tool in controlling the spread of diseases. However, it is important to acknowledge that some diseases...
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A mathematical model for evaluating the impact of nonpharmaceutical interventions on the early COVID-19 epidemic in the United Kingdom
The coronavirus disease 2019 (COVID-19) presents a severe and urgent threat to global health. In response to the COVID-19 pandemic, many countries...
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Site-bond percolation model of epidemic spreading with vaccination in complex networks
To study disease transmission with vaccination based on the network, we map an SIR model to a site-bond percolation model. In the case where the...
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Necessary and sufficient conditions for exact closures of epidemic equations on configuration model networks
We prove that it is possible to obtain the exact closure of SIR pairwise epidemic equations on a configuration model network if and only if the...
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Dynamical behavior of a hepatitis B epidemic model and its NSFD scheme
Hepatitis is inflammation of the liver, and one of its types, hepatitis B, is a contagious infection. Using mathematical models, the nature of the...
