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Some properties of branching processes with random control functions and affected by viral infectivity in random environments
In this paper, a model of branching processes with random control functions and affected by viral infectivity in independent and identically...
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An SIR model with viral load-dependent transmission
The viral load is known to be a chief predictor of the risk of transmission of infectious diseases. In this work, we investigate the role of the...
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Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy
In this paper, we propose a general viral infection model to incorporate two infection modes (virus-to-cell mode and cell-to-cell mode), the CTL...
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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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Stability Analysis of a Delayed Immune Response Model to Viral Infection
The purpose of this work is the study of the qualitative behavior of the homogeneous in space solution of a delay differential equation arising from...
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Extinction scenarios in evolutionary processes: a multinomial Wright–Fisher approach
We study a discrete-time multi-type Wright–Fisher population process. The mean-field dynamics of the stochastic process is induced by a general...
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Generalizing the Infectious Disease Model to Account for Sorption Therapy in Conditions of Diffusion Disorders
A mathematical model of the dynamics of a viral infection under the conditions of adsorption therapy, taking into account diffusion perturbations,...
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A computational framework for evaluating the role of mobility on the propagation of epidemics on point processes
This paper is focused on SIS (Susceptible-Infected-Susceptible) epidemic dynamics (also known as the contact process) on populations modelled by...
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Evidence of Increased Adaptation of Omicron SARS-CoV-2 Codons to Humans
Viruses are highly dependent on their hosts to carry out cellular mechanisms and cause productive infection. Thus, they undergo extensive adaptations...
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A Mathematical Framework for Predicting Lifestyles of Viral Pathogens
Despite being similar in structure, functioning, and size, viral pathogens enjoy very different, usually well-defined ways of life. They occupy their...
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A mathematical model for HIV dynamics with multiple infections: implications for immune escape
Multiple infections enable the recombination of different strains, which may contribute to viral diversity. How multiple infections affect the...
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PDE Models of Virus Replication Coupling 2D Manifold and 3D Volume Effects Evaluated at Realistic Reconstructed Cell Geometries
Virus pandemics and endemics cause enormous pain and costs. Major processes of the intracellular Hepatitis C virus (HCV) viral RNA (vRNA) replication...
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Global Classical Solutions to an Oncolytic Viral Therapy Model with Triply Haptotactic Terms
This work studies a triply haptotactic cross-diffusion system modeling oncolytic viral therapy, with interactions among uninfected cancer cells,...
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Stochastic behavior of within-host progression in primary dengue infection
Dengue is a mosquito-borne viral infection that triggers a series of intracellular events in the host immune system, which may result in an invasion...
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Three-stage modeling of HIV infection and implications for antiretroviral therapy
We consider a deterministic model of HIV infection that involves macrophages as a long-term active reservoir to describe all three stages of the...
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Modification of the Model of Mixed Infection Dynamics with Regard for the Diffusion Perturbations and Interactions Between Antigens
We propose a modified general model of mixed infection that takes into account the influence of diffusion perturbations and interactions between...
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Measles Infection Dose Responses: Insights from Mathematical Modeling
AbstractHow viral infections develop can change based on the number of viruses initially entering the body. The understanding of the impacts of...
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Stability of a discrete-time general delayed viral model with antibody and cell-mediated immune responses
We propose a discrete-time viral model with antibody and cell-mediated immune responses. Two types of infected cells are incorporated into the model,...
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Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice
Analyzing the impact of the adaptive immune response during acute hepatitis B virus (HBV) infection is essential for understanding disease...
