Study of Virus Dynamics by Mathematical Models
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Summary
A delay differential equation model with distributed delay is proposed to investigate the evolutionary competition between budding and lytic viral release strategies and it is concluded that budding virus will outcompete if the rates of viral production, death rates of infected cells and neutralizing capacities of the antibodies are the same for budding and Lytic viruses.
- Type
- article
- Published
- 2014-01-01
- Cited by
- 8
- References
- 117
- Access
- Open access
- OpenAlex
- https://openalex.org/W70273497
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:80804535
Keywords
Lytic cycle, Virus, Budding, Biology, Virology
References
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- Janeway's immunobiology
- Virus dynamics: Mathematical principles of immunology and virology
- Viruses and Human Disease
- Quantitation of human immunodeficiency virus type 1 infection kinetics
- Delay Differential Equations: With Applications in Population Dynamics
- Introduction to Functional Differential Equations
- Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems
- On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations
- The direct passage of animal viruses between cells.
- Defining CTL-induced pathology: implications for HIV.
- Virus Movements on the Plasma Membrane Support Infection and Transmission between Cells
- Recombination: Multiply infected spleen cells in HIV patients
Cited by
- Analytical Solutions of the Susceptible-Infected-Virus (SIV) Model
- Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method
- Analysis of Deterministic and Stochastic HIV Models
- Asymptotic and Stability Dynamics of an HIV-1-Cytotoxic T Lymphocytes (CTL) Chemotaxis Model
- Stability analysis of the hiv model through incommensurate fractional-order nonlinear system
- Mathematical analysis of a within-host model of SARS-CoV-2
- A SIR Epidemic Model with Primary Immunodeficiency and Time Delay
- Spring 4-26-2019 Analysis of Deterministic and Stochastic HIV Models
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