Optimal treatment of an SIR epidemic model with time delay

Gul Zaman, Yong Han Kang, Il Hyo Jung

Type: Article

Publication Date: 2009-05-22

Citations: 140

DOI: https://doi.org/10.1016/j.biosystems.2009.05.006

View Publication

Locations

PubMed - View
Biosystems - View

Similar Works

Action	Title	Year	Authors
+	SIR Epidemic Model In Discrete-Time With Treatment	2019	علاء حسين لفته
+	Optimal Control of a Delayed SIRS Epidemic Model with Vaccination and Treatment	2015	Hassan Laarabi Abdelhadi Abta Khalid Hattaf
+ PDF Chat	Optimal control of a SIR epidemic model with general incidence function and a time delays	2018	Moussa Barro Aboudramane Guiro Dramane Ouedraogo
+	A deterministic time-delayed SIR epidemic model: mathematical modeling and analysis	2019	Abhishek Kumar Kanica Goel Nilam
+	Dynamic analysis and optimal control for a fractional-order delayed SIR epidemic model with saturated treatment	2022	Xinshu Cui Dingyü Xue Feng Pan
+	Stability analysis and optimal vaccination of an SIR epidemic model	2008	Gul Zaman Yong Han Kang Il Hyo Jung
+	OPTIMAL CONTROL OF AN SIR EPIDEMIC MODEL BASED ON DYNAMIC PROGRAMMING APPROACH	2024	Touffik Bouremani Yacine Slimani
+	Optimal Vaccination Strategies in an SIR epidemic model with time scales	2014	Nelson Owuor Onyango Judith E. Mueller Muindi
+	A mathematical and numerical study of a SIR epidemic model with time delay, nonlinear incidence and treatment rates	2019	Kanica Goel Nilam
+	A mathematical study of an imprecise SIR epidemic model with treatment control	2017	Anjana Das Madhumangal Pal
+	A delayed SIR epidemic model with a general incidence rate	2013	Khalid Hattaf Abid Ali Lashari Younes Louartassi Noura Yousfi
+	Stability analysis and optimal control of an SIR epidemic model with vaccination	2011	T. K. Kar Ashim Batabyal
+	A delayed SIRS epidemic model with pulse vaccination☆	2006	Guoping Pang Lansun Chen
+	Mathematical Analysis of an SIRS Epidemic Model with Delay (Functional Equations and Complex Systems)	2005	Naoki Yoshida Tadayuki Hara
+	Optimal strategy of vaccination & treatment in an SIR epidemic model	2016	Gul Zaman Yong Han Kang Giphil Cho Il Hyo Jung
+	Optimal curing rate allocation in the SIS epidemic model	2024	Ryan McFadden Fraser Daly Seva Shneer
+	A delay SIR epidemic model with pulse vaccination and incubation times	2008	Xinzhu Meng Lansun Chen Bo Wu
+	Complex Dynamics of an SIR Epidemic Model with Saturated Incidence Rate and Treatment	2015	Soovoojeet Jana Swapan Kumar Nandi T. K. Kar
+	Dynamics of an SIR epidemic model with limited medical resources revisited	2011	Linhua Zhou Meng Fan
+	Optimal intervention for an epidemic model under uncertainty.	2005	N Green

Works That Cite This (92)

Action	Title	Year	Authors
+ PDF Chat	Threshold Dynamics of a Stochastic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>S</mml:mi><mml:mi>I</mml:mi><mml:mi>R</mml:mi></mml:math> Model with Vertical Transmission and Vaccination	2017	Anqi Miao Jian Zhang Tongqian Zhang B. G. Sampath Aruna Pradeep
+	Handling the COVID‐19 crisis: Toward an agile model‐based systems approach	2020	Olivier de Weck Daniel Krob Lefei Li Pao Chuen Lui Antoine Rauzy Xinguo Zhang
+ PDF Chat	Complex dynamics and control analysis of an epidemic model with non-monotone incidence and saturated treatment	2022	Pritam Saha Uttam Ghosh
+ PDF Chat	Evaluation and control estimation strategy for three acting play diseases with six control variables	2020	Muhammad Tahir Gul Zaman Syed İnayat Ali Shah
+	Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China	2020	Anwarud Din Yongjin Li Tahir Khan Gul Zaman
+ PDF Chat	Impact of human cooperation on vaccination behaviors	2023	K. M. Ariful Kabir
+	ON THE ANALYSIS OF FRACTAL-FRACTIONAL ORDER MODEL OF MIDDLE EAST RESPIRATION SYNDROME CORONAVIRUS (MERS-CoV) UNDER CAPUTO OPERATOR	2022	Lei Zhang Tareq Saeed Miao-Kun Wang Nudrat Aamir Muhammad Ibrahim
+	Optimal Control of an Epidemic Model of Leptospirosis with Nonlinear Saturated Incidences	2014	Syed Farasat Sadiq
+	Mitigating Epidemics through Mobile Micro-measures	2013	Mohamed Kafsi Ehsan Kazemi Lucas Maystre Lyudmila Yartseva Matthias Grossglauser Patrick Thiran
+	Stability analysis and optimal control of covid-19 with convex incidence rate in Khyber Pakhtunkhawa (Pakistan)	2020	Amir Khan Rahat Zarin Ghulam Hussain Noor Atinah Ahmad Mohd Hafiz Mohd Abdullahi Yusuf

Works Cited by This (22)

Action	Title	Year	Authors
+	Optimal vaccination and treatment in the SIR epidemic model	2007	Gul Zaman Yong Han Kang Il Hyo Jung
+	Dynamical modeling of viral spread in spatially distributed populations: stochastic origins of oscillations and density dependence	2006	Henry C. Tuckwell Laurent Toubiana
+	Global stability of a delayed SIR epidemic model with density dependent birth and death rates	2006	Naoki Yoshida Tadayuki Hara
+	Optimal Controls for Systems with Time Lag	1968	A. Halanay
+	Periodic solutions: a robust numerical method for an S-I-R model of epidemics	1999	Fabio Milner Andrea Pugliese
+ PDF Chat	Mathematical Models in Population Biology and Epidemiology	2001	Fred Brauer Carlos Castillo‐Chávez
+	Stability analysis and optimal vaccination of an SIR epidemic model	2008	Gul Zaman Yong Han Kang Il Hyo Jung
+ PDF Chat	The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda	2004	Gerardo Chowell Nicolas Hengartner Carlos Castillo‐Chávez Paul W. Fenimore James M. Hyman
+ PDF Chat	Transmissibility of 1918 pandemic influenza	2004	Christina E. Mills James M. Robins Marc Lipsitch
+ PDF Chat	Permanence of an SIR epidemic model with distributed time delays	2002	Edoardo Beretta Tadayuki Hara Wanbiao Ma Yasuhiro Takeuchi