Presentation Information
[MS02-04]Mathematical modeling and optimal management of infectious diseases in presence of limited medical resources and information
*ANUJ KUMAR1 (1. Thapar Institute of Engineering & Technology, Patiala (India))
Keywords:
Epidemic model,Information,Saturated treatment,Optimal control
Infectious diseases are one of well-known sources that cause large numbers of deaths, morbidity and economic losses. Therefore, their control management is essential with optimal
allocation of resources. Thus, this study accounts for the impact of the important control aspects such as information-induced vaccination, behavioural change and limited treatment to
control the spread of infectious diseases using mathematical models. The underline dynamics of information is also modeled via separate rate equation which influences healthy individuals
for protective measures. The model analysis is carried out which leads to various qualitative observations such as global asymptotic stability of equilibrium points different types of
bifurcations. Our study infers that the model system gives rise to the rich and complex dynamics due to saturation effect considered in medical treatment and information-induced
vaccination. Further, considering information-induced vaccination and treatment as controls, an optimal control problem is proposed which minimizes costs incurred due to the disease burden and applied controls. A comparative study is conducted by choosing various control strategies. We observe that the comprehensive use of control interventions reduces the severity of the disease burden and also minimizes the economic burden. Whereas, the numerical results infer that the treatment is more effective and economically feasible for a mild epidemic, while the information-induced vaccination is more efficient for serious epidemic scenarios.
allocation of resources. Thus, this study accounts for the impact of the important control aspects such as information-induced vaccination, behavioural change and limited treatment to
control the spread of infectious diseases using mathematical models. The underline dynamics of information is also modeled via separate rate equation which influences healthy individuals
for protective measures. The model analysis is carried out which leads to various qualitative observations such as global asymptotic stability of equilibrium points different types of
bifurcations. Our study infers that the model system gives rise to the rich and complex dynamics due to saturation effect considered in medical treatment and information-induced
vaccination. Further, considering information-induced vaccination and treatment as controls, an optimal control problem is proposed which minimizes costs incurred due to the disease burden and applied controls. A comparative study is conducted by choosing various control strategies. We observe that the comprehensive use of control interventions reduces the severity of the disease burden and also minimizes the economic burden. Whereas, the numerical results infer that the treatment is more effective and economically feasible for a mild epidemic, while the information-induced vaccination is more efficient for serious epidemic scenarios.