OPTIMAL CONTROL INTERVENTION STRATEGIES USING AN N-PATCH WATERBORNE DISEASE MODEL

2016 ◽  
Vol 29 (4) ◽  
pp. 499-519 ◽  
Author(s):  
O. C. COLLINS ◽  
K. J. DUFFY
Keyword(s):  
Optimal Control ◽  
Disease Model ◽  
Intervention Strategies ◽  
Waterborne Disease ◽  
Control Intervention

scholarly journals Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Obiora Cornelius Collins ◽  
Kevin Jan Duffy
Keyword(s):  
Optimal Control ◽  
Disease Transmission ◽  
Disease Model ◽  
Minimum Cost ◽  
Intervention Strategies ◽  
Cholera Outbreak ◽  
Waterborne Disease ◽  
Control Intervention ◽  
Mathematical Analyses

A mathematical model is formulated that captures the essential dynamics of waterborne disease transmission under the assumption of a homogeneously mixed population. The important mathematical features of the model are determined and analysed. The model is extended by introducing control intervention strategies such as vaccination, treatment, and water purification. Mathematical analyses of the control model are used to determine the possible benefits of these control intervention strategies. Optimal control theory is utilized to determine how to reduce the spread of a disease with minimum cost. The model is validated using a cholera outbreak in Haiti.

Analysis of a waterborne disease model with socioeconomic classes

2015 ◽  
Vol 269 ◽  
pp. 86-93 ◽  
Author(s):  
O.C. Collins ◽  
Suzanne L. Robertson ◽  
K.S. Govinder
Keyword(s):  
Disease Model ◽  
Waterborne Disease

Optimal control & dynamical aspects of a stochastic pine wilt disease model

2019 ◽  
Vol 356 (7) ◽  
pp. 3991-4025 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Qaisar Badshah ◽  
Ghaus ur Rahman ◽  
Saeed Islam
Keyword(s):  
Optimal Control ◽  
Disease Model ◽  
Pine Wilt Disease ◽  
Wilt Disease ◽  
Pine Wilt

scholarly journals The Dynamics and Optimal Control of a Hand-Foot-Mouth Disease Model

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Hongwu Tan ◽  
Hui Cao
Keyword(s):  
Optimal Control ◽  
Reproduction Number ◽  
Control Strategies ◽  
Disease Model ◽  
Mouth Disease ◽  
Infected People ◽  
Hand Foot Mouth Disease ◽  
The Cost ◽  
Existence Of Equilibria ◽  
Disease Free

We build and study the transmission dynamics of a hand-foot-mouth disease model with vaccination. The reproduction number is given, the existence of equilibria is obtained, and the global stability of disease-free equilibrium is proved by constructing the Lyapunov function. We also apply optimal control theory to the hand-foot-mouth disease model. The treatment and vaccination interventions are considered in the hand-foot-mouth disease model, and the optimal control strategies based on minimizing the cost of intervention and minimizing the number of the infected people are given. Numerical results show the usefulness of the optimization strategies.

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