A diffusive  SEIR model for community transmission of  Covid-19 epidemics:  application to Brazil

Fitzgibbon, W. E.; Morgan, Joseph A.; Webb, Glenn; Wu, Yixiang

doi:10.5206/mase/14150

Cited by 3 publications

(1 citation statement)

References 38 publications

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“…In order to address these issues, many reaction-diffusion epidemic models with non-constant coefficients have been proposed and studied [2,17,58,59]. Specific infectious diseases modelled by diffusive models include malaria [38,39], rabies [23,42], dengue fever [53], West Nile virus [27,31], influenza [40], COVID-19 [18,25,51,57], etc.…”

Section: Introductionmentioning

confidence: 99%

On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism

Salako,

2024

Eur. J. Appl. Math

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In this paper, we consider reaction-diffusion epidemic models with mass action or standard incidence mechanism and study the impact of limiting population movement on disease transmissions. We set either the dispersal rate of the susceptible or infected people to zero and study the corresponding degenerate reaction-diffusion model. Our main approach to study the global dynamics of these models is to construct delicate Lyapunov functions. Our results show that the consequences of limiting the movement of susceptible or infected people depend on transmission mechanisms, model parameters and population size.

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Section: Introductionmentioning

confidence: 99%

On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism

Salako,

2024

Eur. J. Appl. Math

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Analysis of a diffusive epidemic model with a zero-infection zone

Huang,

Jiang,

et al. 2024

Journal of Mathematical Analysis and Applications

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A Space Distributed Model and Its Application for Modeling the COVID-19 Pandemic in Ukraine

Cherniha,

Dutka,

Davydovych

2024

Symmetry

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A space distributed model based on reaction–diffusion equations, which was previously developed, is generalized and applied to COVID-19 pandemic modeling in Ukraine. Theoretical analysis and a wide range of numerical simulations demonstrate that the model adequately describes the second wave of the COVID-19 pandemic in Ukraine. In particular, comparison of the numerical results obtained with the official data shows that the model produces very plausible total numbers of the COVID-19 cases and deaths. An extensive analysis of the impact of the parameters arising from the model is presented as well. It is shown that a well-founded choice of parameters plays a crucial role in the applicability of the model.

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A diffusive SEIR model for community transmission of Covid-19 epidemics: application to Brazil

Cited by 3 publications

References 38 publications

On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism

On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism

Analysis of a diffusive epidemic model with a zero-infection zone

A Space Distributed Model and Its Application for Modeling the COVID-19 Pandemic in Ukraine

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