Global transmission dynamic of SIR model in the time of SARS-CoV-2

Tong, Zhaowei; Lv, Yu-Pei; Din, Rahim Ud; Mahariq, İbrahim; Rahmat, Gul

doi:10.1016/j.rinp.2021.104253

Cited by 6 publications

(5 citation statements)

References 16 publications

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“…Gonzalez-Parra et al, 2021(Gonzalez-Parra et al, 2021 investigated two distinct COVID-19 virus variants and provided a mathematical model for any more novel variants. In order to reflect the disease's transmission dynamics in more detail, a small number of researchers (Gonzalez-Parra et al, 2021;Tilahun et al, 2020;Tong et al, 2021) have included the influence of vaccines in their suggested models. Sah et al, 2021, (Sah et al, 2021 discovered the effects of precipitated vaccination distribution, which can lessen the burden caused by the various coronavirus strains.…”

Section: Mathematical Modeling On Real Life Scenariomentioning

confidence: 99%

<span>Changing perception through the art of mathematical modeling</span>

Jose

Raja

2023

dthujs

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Nowadays, infectious diseases are disorders caused by organisms — such as bacteria, viruses, fungi or parasites. Many organisms live in and on our bodies. They’re normally harmless or even helpful. But certain microbes have the potential to cause disease in specific situations. It is possible for some infectious diseases to spread from person to person. Others are spread by animals or insects. In this study, we build certain fundamental models, such as SI, SIR, SIRS, and SEIR, and in numerical simulations, we take into account random parameters to determine the dynamics of the model’s behavior. Finally, we present several studies in mathematical modeling of real situation relevant to epidemiology and population dynamic systems.

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Section: Mathematical Modeling On Real Life Scenariomentioning

confidence: 99%

<span>Changing perception through the art of mathematical modeling</span>

Jose

Raja

2023

dthujs

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“…For example, one type of work mainly focuses on modeling the pandemic spread across regions and examining the effects of travel restrictions ( 10–12 ). Another type of work models the global population as one compartment and neglects the spatial heterogeneity of disease transmissions in different regions ( 13 ). Modeling frameworks are in need to integrate age-structured disease transmission models across different regions to assess the impacts of EIDs and evaluate the effect of NPIs on the global scale.…”

Section: Introductionmentioning

confidence: 99%

Global age-structured spatial modeling for emerging infectious diseases like COVID-19

et al. 2023

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Modeling the global dynamics of emerging infectious diseases (EIDs) like COVID-19 can provide important guidance in the preparation and mitigation of pandemic threats. While age-structured transmission models are widely used to simulate the evolution of EIDs, most of these studies focus on the analysis of specific countries and fail to characterize the spatial spread of EIDs across the world. Here, we developed a global pandemic simulator that integrates age-structured disease transmission models across 3,157 cities and explored its usage under several scenarios. We found that without mitigations, EIDs like COVID-19 are highly likely to cause profound global impacts. For pandemics seeded in most cities, the impacts are equally severe by the end of the first year. The result highlights the urgent need for strengthening global infectious disease monitoring capacity to provide early warnings of future outbreaks. Additionally, we found that the global mitigation efforts could be easily hampered if developed countries or countries near the seed origin take no control. The result indicates that successful pandemic mitigations require collective efforts across countries. The role of developed countries is vitally important as their passive responses may significantly impact other countries.

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“…The non-standard finite difference(NSFD) scheme shall be adopted to analyze the solution of the designed model. Many authors have considered the non-standard finite difference scheme in the analysis of their models (see 40 , 51 – 56 ). NSFD, is the most veritable tool in finding numerical solutions to fractional-order models 51 .…”

Section: Introductionmentioning

confidence: 99%

Analysis of a non-integer order mathematical model for double strains of dengue and COVID-19 co-circulation using an efficient finite-difference method

Obiajulu,

Omame,

Inyama

et al. 2023

Sci Rep

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An efficient finite difference approach is adopted to analyze the solution of a novel fractional-order mathematical model to control the co-circulation of double strains of dengue and COVID-19. The model is primarily built on a non-integer Caputo fractional derivative. The famous fixed-point theorem developed by Banach is employed to ensure that the solution of the formulated model exists and is ultimately unique. The model is examined for stability around the infection-free equilibrium point analysis, and it was observed that it is stable (asymptotically) when the maximum reproduction number is strictly below unity. Furthermore, global stability analysis of the disease-present equilibrium is conducted via the direct Lyapunov method. The non-standard finite difference (NSFD) approach is adopted to solve the formulated model. Furthermore, numerical experiments on the model reveal that the trajectories of the infected compartments converge to the disease-present equilibrium when the basic reproduction number ($${\mathbb {R}}_0$$ R 0 ) is greater than one and disease-free equilibrium when the basic reproduction number is less than one respectively. This convergence is independent of the fractional orders and assumed initial conditions. The paper equally emphasized the outcome of altering the fractional orders, infection and recovery rates on the disease patterns. Similarly, we also remarked the importance of some key control measures to curtail the co-spread of double strains of dengue and COVID-19.

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Global transmission dynamic of SIR model in the time of SARS-CoV-2

Cited by 6 publications

References 16 publications

<span>Changing perception through the art of mathematical modeling</span>

<span>Changing perception through the art of mathematical modeling</span>

Global age-structured spatial modeling for emerging infectious diseases like COVID-19

Analysis of a non-integer order mathematical model for double strains of dengue and COVID-19 co-circulation using an efficient finite-difference method

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