Complexity of host-vector dynamics in a two-strain dengue model

Rashkov, Peter; Kooi, Bob W.

doi:10.1080/17513758.2020.1864038

Cited by 19 publications

(10 citation statements)

References 34 publications

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“…Further, the main difference between single scale models developed at macrocommunity scale of organization and this scale of organization is that here single scale models are developed incorporating both local and global pathogen transmission in the context of multiple pathogen species and/or multiple host species. As examples of single scale models of disease dynamics developed at this scale of organization see ( Bichara & Iggidr, 2018 ; Chen et al., 2020 ; Kucharski, Andreasen, & Gog, 2016 ; Rashkov & Kooi, 2021 ).…”

Section: Aims and Assumptions Of The Transmission Mechanism Theorymentioning

confidence: 99%

The transmission mechanism theory of disease dynamics: Its aims, assumptions and limitations

Garira

Maregere

2023

Infectious Disease Modelling

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Section: Aims and Assumptions Of The Transmission Mechanism Theorymentioning

confidence: 99%

The transmission mechanism theory of disease dynamics: Its aims, assumptions and limitations

Garira

Maregere

2023

Infectious Disease Modelling

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“…In the same way, the authors investigated two-strain influenza model with cross-immunity in [11,13]. Also, the authors of [14][15][16] studied two-strain mathematical models for dengue disease, suffering from infection, and the flu. Cross-immunity and co-infection have been taken into consideration in research on the structure between two viral infections [17].…”

Section: Introductionmentioning

confidence: 99%

Deterministic and Stochastic Nonlinear Model for Transmission Dynamics of COVID-19 with Vaccinations Following Bayesian-Type Procedure

Jeelani,

Din,

Alhamzi

et al. 2024

Mathematics

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We develop a mathematical model for the SARAS-CoV-2 double variant transmission characteristics with variant 1 vaccination to address this novel aspect of the disease. The model is theoretically examined, and adequate requirements are derived for the stability of its equilibrium points. The model includes the single variant 1 and variant 2 endemic equilibria in addition to the endemic and disease-free equilibria. Various approaches are used for the global and local stability of the model. For both strains, we determine the basic reproductive numbers R1 and R2. To investigate the occurrence of the layers (waves), we expand the model to include some analysis based on the second-order derivative. The model is then expanded to its stochastic form, and numerical outcomes are computed. For numerical purposes, we use the nonstandard finite difference method. Some error analysis is also recorded.

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“…Agusto [ 34 ] improved the model of Gumel [ 33 ] by adding control over the isolation rate of humans infected with avian and mutant strains. Rashkov and Kooi [ 35 ] developed a host-vector model for dengue fever, considering two strains of the virus, allowing temporary cross-immunity for the hosts, and the possibility of secondary infections. Royce and Fu [ 36 ] presented a model for transmission among three species that accounts for a zoonotic disease, which mutates in an intermediate host.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of SARS-CoV-2 Transmission between Minks and Humans Considering New Variants and Mink Culling

Ibrahim

Dénes

2023

TropicalMed

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We formulated and studied mathematical models to investigate control strategies for the outbreak of the disease caused by SARS-CoV-2, considering the transmission between humans and minks. Two novel models, namely SEIR and SVEIR, are proposed to incorporate human-to-human, human-to-mink, and mink-to-human transmission. We derive formulas for the reproduction number R0 for both models using the next-generation matrix technique. We fitted our model to the daily number of COVID-19-infected cases among humans in Denmark as an example, and using the best-fit parameters, we calculated the values of R0 to be 1.58432 and 1.71852 for the two-strain and single-strain models, respectively. Numerical simulations are conducted to investigate the impact of control measures, such as mink culling or vaccination strategies, on the number of infected cases in both humans and minks. Additionally, we investigated the possibility of the mutated virus in minks being transmitted to humans. Our results indicate that to control the disease and spread of SARS-CoV-2 mutant strains among humans and minks, we must minimize the transmission and contact rates between mink farmers and other humans by quarantining such individuals. In order to reduce the virus mutation rate in minks, culling or vaccination strategies for infected mink farms must also be implemented. These measures are essential in managing the spread of SARS-CoV-2 and its variants, protecting public health, and mitigating the potential risks associated with human-to-mink transmission.

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Complexity of host-vector dynamics in a two-strain dengue model

Cited by 19 publications

References 34 publications

The transmission mechanism theory of disease dynamics: Its aims, assumptions and limitations

The transmission mechanism theory of disease dynamics: Its aims, assumptions and limitations

Deterministic and Stochastic Nonlinear Model for Transmission Dynamics of COVID-19 with Vaccinations Following Bayesian-Type Procedure

Mathematical Modeling of SARS-CoV-2 Transmission between Minks and Humans Considering New Variants and Mink Culling

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