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- Gul Zaman, Yong Han Kang, Il Hyo Jung
- Biosystems
- 2008

Almost all mathematical models of diseases start from the same basic premise: the population can be subdivided into a set of distinct classes dependent upon experience with respect to the relevant disease. Most of these models classify individuals as either a susceptible individual S, infected individual I or recovered individual R. This is called the… (More)

- Gul Zaman, Yong Han Kang, Il Hyo Jung
- Biosystems
- 2009

In this paper the optimal control strategies of an SIR (susceptible-infected-recovered) epidemic model with time delay are introduced. In order to do this, we consider an optimally controlled SIR epidemic model with time delay where a control means treatment for infectious hosts. We use optimal control approach to minimize the probability that the infected… (More)

- Yong Han Kang, Mi Jin Lee, Il Hyo Jung
- Appl. Math. Lett.
- 2009

- Gul Zaman, Yong Han Kang, Hyo Jung
- 2007

ABSTRACT Mathematical epidemiological models for the dynamics of infections that induce lifelong immunity have been extensively developed. In this work, we consider a nonlinear SIR model given by a nonlinear system describing the dynamics of the interaction between susceptible and infective individuals in population. We analyze the dynamical behavior of the… (More)

- Mi Jin Lee, Jong Yeoul Park, Yong Han Kang
- Computers & Mathematics with Applications
- 2015

- Byul Nim Kim, Kyeongah Nah, Chaeshin Chu, S. U. Ryu, Yong Han Kang, Yongkuk Kim
- Osong public health and research perspectives
- 2012

OBJECTIVE
To investigate the optimal control strategy for Plasmodium vivax malaria transmission in Korea.
METHODS
A Plasmodium vivax malaria transmission model with optimal control terms using a deterministic system of differential equations is presented, and analyzed mathematically and numerically.
RESULTS
If the cost of reducing the reproduction rate… (More)

- Yong Han Kang, Mi Jin Lee, Il Hyo Jung
- Computers & Mathematics with Applications
- 2009

- Daewook Kim, Yong Han Kang, Mi Jin Lee, Il Hyo Jung
- Computers & Mathematics with Applications
- 2011

- Gul Zaman, Yong Han Kang, Gi Phil Cho, Il Hyo Jung
- Mathematics and Computers in Simulation
- 2017

- Jong Yeoul Park, Yong Han Kang, Sun Hye Park
- Computers & Mathematics with Applications
- 2009