Optimal control problems of epidemic systems with parameter uncertainties: application to a malaria two-age-classes transmission model with asymptomatic carriers

DOI10.1016/j.mbs.2014.11.005zbMath1315.92082OpenAlexW1978482032WikidataQ41613930 ScholiaQ41613930MaRDI QIDQ2341860

Heikki Haario, Gasper G. Mwanga, Vincenzo Capasso

Publication date: 6 May 2015

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2014.11.005

zbMATH Keywords

optimal controlparameter uncertaintymalarianonlinear ODE models

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of optimal control and differential games (49N90)

Related Items

Modeling repellent-based interventions for control of vector-borne diseases with constraints on extent and duration, Optimal control strategies for a class of vector borne diseases, exemplified by a toy model for malaria, Modeling the transmission dynamics of malaria with saturated treatment: a case study of India, A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population, Mathematical analysis of the Ross-Macdonald model with quarantine, Optimal control of a malaria model with asymptomatic class and superinfection, Optimal control and cost-effectiveness analysis of age-structured malaria model with asymptomatic carrier and temperature variability, Mathematical model for optimal control of soil-transmitted helminth infection, Modeling the effects of helminth infection on the transmission dynamics of mycobacterium tuberculosis under optimal control strategies, A model for a vector-borne disease with control based on mosquito repellents: a viability analysis, Regional control for spatially structured mosquito borne epidemics. II: Computational issues, Dynamics and control strategy for a delayed viral infection model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An introduction to optimal control problems in life sciences and economics. From mathematical models to numerical simulation with MATLAB.
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Optimal control of vector-borne diseases: Treatment and prevention
• An optimal control problem arising from a dengue disease transmission model
• A realistic host-vector transmission model for describing malaria prevalence pattern