Optimal control of infectious disease: information-induced vaccination and limited treatment

DOI10.1016/j.physa.2019.123196OpenAlexW2981359977MaRDI QIDQ2137657

Anuj Kumar, Yasuhiro Takeuchi, Yueping Dong, Prashant K. Srivastava

Publication date: 16 May 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.123196

zbMATH Keywords

optimal controlPontryagin's maximum principlecompartmental modelinformation-induced vaccinationlimited treatment

Mathematics Subject Classification ID

Epidemiology (92D30) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Statistical mechanics, structure of matter (82-XX)

Related Items (6)

OPTIMAL CONTROL ANALYSIS OF A TUBERCULOSIS MODEL ⋮ Stability and bifurcation analysis of an infectious disease model with different optimal control strategies ⋮ Optimal control for dengue eradication program under the media awareness effect ⋮ Optimal control strategies for the transmission risk of COVID-19 ⋮ Optimal control on COVID-19 eradication program in Indonesia under the effect of community awareness ⋮ Bifurcation and stability of a delayed SIS epidemic model with saturated incidence and treatment rates in heterogeneous networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interaction of media and disease dynamics and its impact on emerging infection management
• Modeling and analysis of effects of awareness programs by media on the spread of infectious diseases
• Optimal control applied to vaccination and treatment strategies for various epidemiological models
• Backward bifurcation of an epidemic model with saturated treatment function
• Optimal control of the chemotherapy of HIV
• Optimal control strategy for prevention of avian influenza pandemic
• Optimal control for pandemic influenza: the role of limited antiviral treatment and isolation
• SVIR epidemic models with vaccination strategies
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A note on the use of optimal control on a discrete time model of influenza dynamics
• Nonlinear dynamics of infectious diseases via information-induced vaccination and saturated treatment
• Vaccination and treatment as control interventions in an infectious disease model with their cost optimization
• Qualitative analysis and optimal control of an epidemic model with vaccination and treatment
• Cost-effective control of chronic viral diseases: finding the optimal level of screening and contact tracing
• Vaccinating behaviour, information, and the dynamics of SIR vaccine preventable diseases
• Modeling the role of information and limited optimal treatment on disease prevalence
• Optimal and sub-optimal quarantine and isolation control in SARS epidemics
• Optimal mix of screening and contact tracing for endemic diseases
• The impact of self-protective measures in the optimal interventions for controlling infectious diseases of human population
• The Mathematics of Infectious Diseases
• Keeping Options Open: an Optimal Control Model with Trajectories That Reach a DNSS Point in Positive Time
• Use of optimal control models to predict treatment time for managing tick-borne disease
• OPTIMAL VACCINATION STRATEGIES FOR AN INFLUENZA EPIDEMIC MODEL
• Optimal Control of Nonlinear Processes
• Optimal control of deterministic epidemics

This page was built for publication: Optimal control of infectious disease: information-induced vaccination and limited treatment