A with-in host Dengue infection model with immune response

Nuraini, Nuning; Tasman, Hengki; Soewono, Edy; Sidarto, Kuntjoro Adji

doi:10.1016/j.mcm.2008.06.016

Cited by 72 publications

(65 citation statements)

References 9 publications

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“…In developing countries population growth is an important factor that contributes to the increase in the incidence of communicable diseases which affects mainly the urban poor, with infants and children among the groups particularly at risk (Nuraini et al, 2009). Urbanization and population growth increase the demand on the basic essential services such as housing, water supply, etc., and at the same time induce conditions that increase the transmission of some vector-borne diseases (Nuraini et al, 2009). Dengue is a viral, vector borne disease, spread by the Aedes Aegypti mosquito.…”

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confidence: 99%

“…It was estimated that about 50 million infections occur annually in over 100 countries. There is no specific treatment for curing dengue patients (Nuraini et al, 2009). Hospital treatment, in general, is given as supportive care which includes bed rest and analgesics (Nuraini et al, 2009).…”

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confidence: 99%

“…Dengue virus is one of the most difficult arboviruses to isolate (Nuraini et al, 2009). There are four serotypes of the dengue virus; Den-1, Den-2, Den-3, Den-4, and each of the serotypes has numerous virus strains (Nuraini et al, 2009).…”

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confidence: 99%

“…There are four serotypes of the dengue virus; Den-1, Den-2, Den-3, Den-4, and each of the serotypes has numerous virus strains (Nuraini et al, 2009). Infection with one dengue serotypes may provide long life immunity to that serotype, but there is no complete crossprotective immunity to other serotype (Gubler, 1998).…”

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confidence: 99%

“…Infection with one dengue serotypes may provide long life immunity to that serotype, but there is no complete crossprotective immunity to other serotype (Gubler, 1998). Identification of the primary target cells of dengue viruses' replication in the infected human body has proven to be extremely difficult (Nuraini et al, 2009).…”

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confidence: 99%

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Analysis of a Mathematical Model to Investigate the Dynamics of Dengue Fever

Eguda¹,

Yakubu²

2017

Journal of Applied Sciences and Environmental Management

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ABSTRACT:In this paper, we formulated a compartmental model to investigate the dynamics of dengue fever in a population with some measure of disease control. We qualitatively and quantitatively analyzed the model and found that the model has a disease free equilibrium (DFE), an endemic equilibrium point and undergoes the phenomenon of backward bifurcation. It was also discovered that Dengue can be eliminated irrespective of the initial size of the infected population whenever the effective reproduction number is less than one. Numerical simulations were carried out on the model and effective control measures were proposed that will result in reducing the burden of the disease in the population. © JASEM https://dx.doi.org/10.4314/jasem.v21i4.2

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confidence: 99%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Analysis of a Mathematical Model to Investigate the Dynamics of Dengue Fever

Eguda¹,

Yakubu²

2017

Journal of Applied Sciences and Environmental Management

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Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence

Zhang

et al. 2023

Math Methods in App Sciences

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This paper is concerned with the existence and nonexistence of traveling waves of a virus infection model with humoral immunity, cell‐to‐cell transmission, and general nonlinear incidence. Our results show that the existence of traveling wave solutions is determined not only by the basic reproduction number of virus infection and the antibody response reproduction number but also by the critical wave speed . More precisely, we obtain the existence of traveling wave solution connecting infection‐free equilibrium and antibody‐free infection equilibrium for , and and connecting infection‐free equilibrium and antibody‐present infection equilibrium for , and . The existence of traveling wave solution connecting infection‐free equilibrium and antibody‐present infection equilibrium is discussed. Some numerical simulations are carried out to illustrate our analytical results.

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Mathematical Models of HIV Latency

Hill

2017

Current Topics in Microbiology and Immunology

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Viral latency is a major barrier to curing HIV infection with antiretroviral therapy, and consequently, for eliminating the disease globally. The establishment, maintenance, and potential clearance of latent infection are complex dynamic processes and can be best understood and described with the help of mathematical models. Here we review the use of viral dynamics models for HIV, with a focus on applications to the latent reservoir. Such models have been used to explain the multiphasic decay of viral load during antiretroviral therapy, the early seeding of the latent reservoir during acute infection and the limited inflow during treatment, the dynamics of viral blips, and the phenomenon of posttreatment control. In addition, mathematical models have been used to predict the efficacy of potential HIV cure strategies, such as latency-reversing agents, early treatment initiation, or gene therapies, and to provide guidance for designing trials of these novel interventions.

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A with-in host Dengue infection model with immune response

Cited by 72 publications

References 9 publications

Analysis of a Mathematical Model to Investigate the Dynamics of Dengue Fever

Analysis of a Mathematical Model to Investigate the Dynamics of Dengue Fever

Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence

Mathematical Models of HIV Latency

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