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Identification of Potential Inhibitors Against SARS-CoV-2 3CLpro, PLpro, and RdRP Proteins: An In-Silico Approach
The COVID-19 pandemic is still evolving and is caused by SARS-CoV-2. Me-too drugs are chemically, structurally, or functionally similar to...
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Global dynamics of a general diffusive HBV infection model with capsids and adaptive immune response
This paper studies the global dynamics of a general diffusive hepatitis B virus (HBV) infection model. The model includes both enveloped viruses and...
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A delay model for persistent viral infections in replicating cells
Persistently infecting viruses remain within infected cells for a prolonged period of time without killing the cells and can reproduce via budding...
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Mathematical Analysis and Sensitivity Assessment of HIV/AIDS-Listeriosis Co-infection Dynamics
Epidemiologically, co-infection is the simultaneous infection of a host by multiple pathogen species such as viruses, bacteria, or fungi. In this...
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Dynamics Analysis of a Delayed HIV Infection Model with CTL Immune Response and Antibody Immune Response
In this paper, dynamics analysis of a delayed HIV infection model with CTL immune response and antibody immune response is investigated. The model...
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Assessing the effect of migration and immigration rates on the transmission dynamics of infectious diseases
This paper explores the effect of immigration in a generalized model that considers susceptibles, infected, chronic carriers, and recovered, the...
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Optimal Perturbations of Systems with Delayed Independent Variables for Control of Dynamics of Infectious Diseases Based on Multicomponent Actions
In this paper, we apply optimal perturbations to control mathematical models of infectious diseases expressed as systems of nonlinear differential...
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Effects of masks on the transmission of infectious diseases
In the present paper, based on the conditions that asymptomatic virus carriers are contagious and all symptomatic infected individuals wear masks, we...
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Analysis of Equilibrium Positions for a System that Describes the Interaction of Viruses with the Immune System
We consider a system of two differential equations with respect to the variables that describe the populations of viruses and immune cells....
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Local Immunodeficiency: Role of Neutral Viruses
This paper analyzes the role of neutral viruses in the phenomenon of local immunodeficiency. We show that, even in the absence of altruistic viruses,...
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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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Modeling the Memory and Adaptive Immunity in Viral Infection
The adaptive immunity is a complex system that involves memory and plays an important role in the control of viral infection such as human...
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Mathematical Models: Perspectives of Mathematical Modelers and Public Health Professionals
This chapter describes mathematical epidemiology from the perspectives of mathematical modelers and public health professionals. The mathematical...
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Modeling the cell-to-cell transmission dynamics of viral infection under the exposure of non-cytolytic cure
To explore the effect of direct cell-to-cell transmission on viral infection dynamics under the exposure of the non-cytolytic cure mechanism, a...
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Optimal vaccine allocation for the control of sexually transmitted infections
The burden of sexually transmitted infections (STIs) poses a challenge due to its large negative impact on sexual and reproductive health worldwide....
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Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination
For some infectious diseases such as mumps, HBV, there is evidence showing that vaccinated individuals always lose their immunity at different rates...
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Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease
In this manuscript, we investigate a nonlinear delayed model to study the dynamics of human-immunodeficiency-virus in the population. For analysis,...
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Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition
This paper aims to the investigation of the global threshold dynamics of an infection age-space structured HIV infection model. The model is...
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Analysis of fractional-order models for hepatitis B
This paper presents two models for hepatitis B, both given by fractional differential equations. The first model is formulated without parameters...
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Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections
In this paper, we study a time-delayed nonlocal reaction-diffusion model of within-host viral infections. We introduce the basic reproduction number
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