Il Hyo Jung

Pusan National University

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Jong Hyuk Byun

Pusan National University

Yong Han Kang

Second Affiliated Hospital of Nanchang University

Gul Zaman

University of Malakand

Kwang Su Kim

New Generation University College

Sangil Kim

Pusan National University

Yong Dam Jeong

Nagoya University

Dae-Wook Kim

Korea Institute of Toxicology

Jong Yeoul Park

Pusan National University

Shingo Iwami

Nagoya University

Yunil Roh

Pusan National University

Cooperative Institutions

Pusan National University

Centre National de la Recherche Scientifique

Max Planck Institute for Nuclear Physics

Université Paris Cité

Nagoya University

Max Planck Society

École Polytechnique

Laboratoire Leprince-Ringuet

Commissariat à l'Énergie Atomique et aux Énergies Alternatives

Kyushu University

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Stability analysis of delay integro-differential equations of HIV-1 infection model

Georgian Mathematical Journal (2018)

Nigar Ali Gul Zaman Il Hyo Jung

Stability theory

Delay differential equation

Value (mathematics)

10.1515/gmj-2018-0011

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Citations (3)

STABILIZATION FOR THE NONLINEAR DAMPED WAVE EQUATIONS IN EXTERIOR DOMAINS

한국산업응용수학회 학술대회 논문집 (2005)

Il Hyo Jung

Damped wave

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Revisiting the guidelines for ending isolation for COVID-19 patients

eLife (2021)

Yong Dam Jeong Keisuke Ejima Kwang Su Kim Shoya Iwanami Ana I. Bento

Since the start of the COVID-19 pandemic, two mainstream guidelines for defining when to end the isolation of SARS-CoV-2-infected individuals have been in use: the one-size-fits-all approach (i.e. patients are isolated for a fixed number of days) and the personalized approach (i.e. based on repeated testing of isolated patients). We use a mathematical framework to model within-host viral dynamics and test different criteria for ending isolation. By considering a fixed time of 10 days since symptom onset as the criterion for ending isolation, we estimated that the risk of releasing an individual who is still infectious is low (0-6.6%). However, this policy entails lengthy unnecessary isolations (4.8-8.3 days). In contrast, by using a personalized strategy, similar low risks can be reached with shorter prolonged isolations. The obtained findings provide a scientific rationale for policies on ending the isolation of SARS-CoV-2-infected individuals.

Isolation

Pandemic

2019-20 coronavirus outbreak

Mainstream

10.7554/elife.69340

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Citations (36)

Dynamics and optimal control of an age-structured SIRVS epidemic model

Mathematical Methods in the Applied Sciences (2020)

Xi-Chao Duan Il Hyo Jung Xue-Zhi Li Maia Martcheva

Vaccination and treatment are both effective methods of preventing the spread of infectious diseases. In this paper, we propose an SIRVS epidemic model with ages of vaccination and recovery, involving vaccine-induced immunity and infection-induced immunity. The basic reproduction number of the epidemic model, R 0 , is first obtained. If R 0 < 1, the local and global stabilities of the disease-free steady state are strictly proved. If R 0 > 1, to control the disease, an optimal control problem is discussed by evaluating the cost of control strategies (vaccination and treatment) and using Pontryagin's maximum principle. We use specific parameter values related to influenza A to do some numerical simulations. Results show that the recovery age plays an important role in the optimal control, where precisely, the control with vaccination only has no effect when the acquired immunity period is not more than the vaccination immunity period; otherwise, it plays a significant role in disease control.

Epidemic model

Pontryagin's minimum principle

Basic reproduction number

Maximum principle

10.1002/mma.6190

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Citations (13)

On Energy Decay Estimates for the Wave Equation of Kirchhoff Type (非線形解析学と凸解析学の研究(研究集会報告集))

数理解析研究所講究録 (2001)

Jong Yeoul Park Jeong Ja Bae Il Hyo Jung

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Effects of Refuge Prey on Stability of the Prey-Predator Model Subject to Immigrants: A Mathematical Modelling Approach

Tanzania Journal of Science (2021)

Mussa A. Stephano Il Hyo Jung

Prey-predator system is enormously complex and nonlinear interaction between species. Such complexity regularly requires development of new approaches which involves more factors in analysis of its population dynamics. In this paper, we formulate a modified Lotka-Volterra model that incorporates factors such as refuge prey and immigrants. We investigate the effects of refuge prey and immigrants by varying the refuge factor, with and without immigrants. The results show that with Holling’s type I functional response, the proposed model is asymptotically convergent when a refuge prey factor is introduced. Moreover, with Holling’s type II functional response, the proposed mathematical model is unstable and does not converge. However, with Holling’s type III functional response in a system, the proposed mathematical model is asymptotically stable. These results point out the following remarks: The effects of refuge prey on stability of the dynamical system vary depending on the type of functional response, and when the predator population increases, the likelihood of prey extinction declines when the proportion of preys in refuge population increases. Hence, the factor of refuge prey is crucial for controlling the population of the predator and obtaining balances between prey and predator in the ecosystem. Keywords: Refuge prey, stability, prey-predator, immigrants, Mathematical modelling

Extinction (optical mineralogy)

10.4314/tjs.v47i4.4

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Citations (9)

Perturbation Methods and Formal Modeling for Dynamic Systems

Abstract and Applied Analysis (2015)

Saeed Islam Sher Afzal Khan Gul Zaman Il Hyo Jung

10.1155/2015/384710

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Dynamics of a smoking model with smoking death rate

Applicationes Mathematicae (2017)

Gul Zaman Young Han Kang Il Hyo Jung

In this work, we derive and analyze a smoking model by taking into account hospitalized smokers and smoke quitters of two types: temporary and permanent, which is one of the possible extensions of the giving-up smoking model. Temporary quitters may become

10.4064/am2249-8-2017

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Citations (4)

Mathematical Modeling and Control of Infectious Diseases

Computational and Mathematical Methods in Medicine (2017)

Gul Zaman Il Hyo Jung Delfim F. M. Torres Anwar Zeb

Mathematical modeling has become a valuable tool for the analysis of dynamics of infectious disease and for the support of control strategies development in recent years.This work highlights the conceptual ideas and mathematical tools needed for infectious diseases modeling.The main convergence of this was on the dynamics of infectious diseases, the analysis of transmission patterns in various populations, and methods to assess the effectiveness of control strategies such as HIV, childhood infections, influenza, and vector borne infections.It was concerned with qualitative behaviors of infectious disease model.The qualitative behavior of model includes positivity, uniqueness, local stability, global stability, bifurcation analysis, control of diseases, and existence of solutions.This study provided a platform for the discussion of the major research challenges and achievements on qualitative behaviors of infectious diseases and their control.Due to the availability of a lot of applications of this study, many authors contributed.G. R. Phaijoo and D. B. Gurung demonstrated that dengue is spreading in new areas due to people movement.They considered a multipatch model to assess the impact of temperature and human movement on the transmission dynamics of dengue disease.Dynamics of vector and host populations are investigated with different human movement rates and different temperature levels.N. Pipatsart et al. discussed adaptive random network models to describe human behavioral change during epidemics and performed stochastic simulations of SIR epidemic models on adaptive random networks.C. Burgess et al. derived risk-based immunization by deployment to polio-endemic regions, which is sufficient to

10.1155/2017/7149154

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Citations (21)

Free Vibration Analysis of Thin Plate on Inhomogeneous Pasternak Foundation

한국소음진동공학회 학술대회논문집 (2002)

Kim Il Hyo Jung Lee Lee Young Soo Oh

Foundation (evidence)

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