The global dynamics for an age-structured tuberculosis transmission model with the exponential progression rate

Yan, Dongxue; Cao, Hui

doi:10.1016/j.apm.2019.07.003

Cited by 26 publications

(16 citation statements)

References 13 publications

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“…The non-stop rise in the number of lives lost in the COVID virus has triggered research where dynamic optimization is used to develop control strategies to minimize the number of infected people and the number of deaths while maximizing the number of people who have recovered. Modeling and optimization are important strategies that can be useful to control the damages done by diseases [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Modeling Of the Covid-19 Outbreakmentioning

confidence: 99%

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2021

Int J Clin Biostat Biom

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The number of fatalities caused by the COVID virus is not only extremely high but also increasing at an alarming rate. The many strategies that are being used throughout the world, to control the pandemic, are being overwhelmed mercilessly by the global pandemic. In this paper three different optimization strategies are used to determine the best strategy that can minimize the damage. It is also demonstrated that for one value of the number of infected subjects two values of recovered and perished subjects are possible. This is an important result because one can take steps to ensure that the number of perished subjects is the lowest possible while the number of recovered subjects is the highest possible.

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Section: Modeling Of the Covid-19 Outbreakmentioning

confidence: 99%

Untitled

2021

Int J Clin Biostat Biom

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“…By stressing every one of the countries it touches, it has the potential to create devastating social, economic and political crises that will leave deep scars. As the UN's lead agency on socio-economic impact and recovery, UNDP will provide the technical lead in the UN's socio-economic recovery, supporting the role of the Resident Coordinators, with UN teams working as one across all aspects of the response (Yan and Cao, 2020) 29 .…”

Section: Limitations Of Mathematical Modelsmentioning

confidence: 99%

Relevence and Effectiveness of Mathematical Models Dealing with Covid-19 Pandemic

Shukla¹

2020

IJMTST

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How does COVID-19 pandemic affect the India? How many people can be hit in a state and how many of them will succumb to the disease? When is it going to peak? How long should the government continue with the lockdown? What is the damage to the economy and what is its impact on each sector? These are some of the questions that haunt not only the decision makers but every sensible people in India. Mathematical models developed by mathematicians and epidemiologists has come to assist decision makers in evaluating the effects of countermeasures to an epidemic before they actually deploy them. The model could give political and beuricatic person's critical insights into the best steps they could take to counter the spread of disease in the face of pandemics. Mathematicians use modeling to represent, analyze and make predictions or otherwise provide insight into real world phenomena. Real world scenarios can be designed into a mathematical model to bring clarity to big messy questions amid fast changing variables. These models aim to make simplifying assumptions in order to arrive at tractable equations. Dealing with the novel coronavirus is an unprecedented situation which the world could not have foreseen. In order to track the COVID-19 pandemic, make predictions about the disease's progression and take decisions, as of now, the government is solely dependent on data from doctors and health workers.

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“…The mentioned differential operator has the ability to describe many features of hereditary and memory materials more explicitly than that of classical order. Therefore significantly FODEs have been used in the last few decades in modeling various processes and phenomena (see for applications [5][6][7][8][9][10][11][12][13][14][15][16]).…”

Section: Introductionmentioning

confidence: 99%

Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative

et al. 2020

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This manuscript considers a nonlinear coupled system under nonsingular kernel type derivative. The considered problem is investigated from two aspects including existence theory and approximate analytical solution. For the concerned qualitative theory, some fixed point results are used. While for approximate solution, the Laplace transform coupled with Adomian method is applied. Finally, by a pertinent example of prey–predator system, we support our results. Some graphical presentations are given using Matlab.

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The global dynamics for an age-structured tuberculosis transmission model with the exponential progression rate

Cited by 26 publications

References 13 publications

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Relevence and Effectiveness of Mathematical Models Dealing with Covid-19 Pandemic

Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative

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