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Bayesian Inference of a Discrete Fractional SEIRD Model
This paper deals with the Bayesian estimation of the parameters of a discrete fractional epidemic model SEIRD as an extension of the classical SEIR...
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Approximate Bayesian Estimation of Parameters of an Agent-Based Model in Epidemiology
This paper is concerned with the Bayesian estimation of the parameters of an epidemic agent-based model. The proposed model simulates the classic...
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Time Scales in Disease Transmission Dynamics
Time scale arguments are implicitly present in many models in epidemiology in the sense that only the relevant time scales are considered. I start by...
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Mathematical Analysis on a General Delayed HBV Model with Capsids and Two Infection Routes
Considering that HBV belongs to the DNA virus family and is hepatotropic, we model the HBV DNA-containing capsids as a compartment. In this paper, a...
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Optimal Control of Hepatitis B in a sub-Saharan African rural area
In this paper, we ameliorate the model proposed in [13], by incorporating the influence of hepatitis B e antigen (HBeAg) status of mothers on...
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A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+ T Cells
In this paper, we investigate a delayed HIV infection model that considers the homeostatic proliferation of CD4 + T cells. The existence and stability...
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Optimal vaccination in a SIRS epidemic model
We propose and solve an optimal vaccination problem within a deterministic compartmental model of SIRS type: the immunized population can become...
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One discrete dynamical model on the Wolbachia infection frequency in mosquito populations
How to prevent and control the outbreak of mosquito-borne diseases, such as malaria, dengue fever and Zika, is an urgent worldwide public health...
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Global Asymptotic Stability in a Delay Differential Equation Model for Mosquito Population Suppression
A bio-safe dengue control strategy is to use Wolbachia , which can induce incomplete cytoplasmic incompatibility (CI) and reduce the mating...
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Dynamic for a Stochastic Multi-Group AIDS Model with Saturated Incidence Rate
In this paper, a stochastic multi-group AIDS model with saturated incidence rate is studied. We prove that the system is persistent in the mean under...
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Probing a Stochastic Epidemic Hepatitis C Virus Model with a Chronically Infected Treated Population
The hepatitis C virus is hitherto a tremendous threat to human beings, but many researchers have analyzed mathematical models for hepatitis C virus...
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Asymptotic behavior of the principal eigenvalue and the basic reproduction ratio for periodic patch models
This paper is devoted to the study of the asymptotic behavior of the principal eigenvalue and the basic reproduction ratio associated with periodic...
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Hopf Bifurcation and Stability Switches Induced by Humoral Immune Delay in Hepatitis C
The role of humoral immune delay on the dynamics of HCV infection incorporating both the modes of infection transmission, namely, viral and cellular...
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Dynamics of a Nonlocal Dispersal Foot-and-Mouth Disease Model in a Spatially Heterogeneous Environment
Foot-and-mouth disease is one of the major contagious zoonotic diseases in the world. It is caused by various species of the genus Aphthovirus of the...
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Dynamics for an Sir Epidemic Model with Nonlocal Diffusion and Free Boundaries
This paper is concerned with the spatial propagation of an SIR epidemic model with nonlocal diffusion and free boundaries describing the evolution of...
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A viral propagation model with a nonlinear infection rate and free boundaries
In this paper we put forward a viral propagation model with a nonlinear infection rate and free boundaries and investigate the dynamical properties....
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Epidemic Spread on One-Way Circular-Coupled Networks
Real epidemic spreading networks are often composed of several kinds of complex networks interconnected with each other, such as Lyme disease, and...
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Analysis and Optimal Control of an Intracellular Delayed HIV Model with CTL Immune Response
A delayed model describing the dynamics of Human Immunodeficiency Virus (HIV) with Cytotoxic T Lymphocytes (CTL) immune response is investigated. The...
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Traveling waves in the Kermack–McKendrick epidemic model with latent period
We study traveling waves for a diffusive susceptible–infected–recovery model, due to Kermack and McKendrick, of an epidemic with standard incidence...