Optimal Control of Invasive Species with Budget Constraint: Qualitative Analysis and Numerical Approximation

2020 ◽  
pp. 147-164
Author(s):  
Angela Martiradonna ◽  
Fasma Diele ◽  
Carmela Marangi
Keyword(s):  
Optimal Control ◽  
Invasive Species ◽  
Qualitative Analysis ◽  
Numerical Approximation ◽  
Budget Constraint

scholarly journals Optimal control of invasive species with economic benefits: Application to the Typha proliferation

2020 ◽  
Vol 33 (2) ◽  
Author(s):  
Ben M. Dia ◽  
Mamadou L. Diagne ◽  
M. Samsidy Goudiaby
Keyword(s):  
Optimal Control ◽  
Invasive Species ◽  
Economic Benefits

scholarly journals Optimal control of invasive species through a dynamical systems approach

2019 ◽  
Vol 49 ◽  
pp. 45-70 ◽  
Author(s):  
Christopher M. Baker ◽  
Fasma Diele ◽  
Deborah Lacitignola ◽  
Carmela Marangi ◽  
Angela Martiradonna
Keyword(s):  
Optimal Control ◽  
Invasive Species ◽  
Dynamical Systems ◽  
Systems Approach

OPTIMAL CONTROL OF THE SPREAD OF MALARIA SUPERINFECTIVITY

2013 ◽  
Vol 21 (04) ◽  
pp. 1340002 ◽  
Author(s):  
FOLASHADE AGUSTO ◽  
SUZANNE LENHART
Keyword(s):  
Optimal Control ◽  
Qualitative Analysis ◽  
Stable Disease ◽  
Optimal Control Theory ◽  
Deterministic Model ◽  
Backward Bifurcation ◽  
Time Dependent ◽  
Implementation Cost ◽  
Life Threatening ◽  
Disease Free

Malaria is a life-threatening disease caused by parasites that are transmitted to people through the bites of infected mosquitoes. In this paper, a deterministic model for malaria transmission, that incorporates superinfection is presented. Qualitative analysis of the model reveals the presence of backward bifurcation in which a stable disease-free equilibrium co-exists with a stable endemic equilibrium when the associated reproduction threshold is less than unity. Optimal control theory is then applied to the model to study time-dependent treatment efforts to minimize the infected in individuals while keeping the implementation cost at a minimum.

Qualitative analysis and optimal control of an epidemic model with vaccination and treatment

2014 ◽  
Vol 100 ◽  
pp. 88-102 ◽  
Author(s):  
Bruno Buonomo ◽  
Deborah Lacitignola ◽  
Cruz Vargas-De-León
Keyword(s):  
Optimal Control ◽  
Qualitative Analysis ◽  
Epidemic Model

scholarly journals Optimal control of an invasive species using a reaction-diffusion model and linear programming

Ecosphere ◽  
2017 ◽  
Vol 8 (10) ◽  
pp. e01979 ◽  
Author(s):  
Mathieu Bonneau ◽  
Fred A. Johnson ◽  
Brian J. Smith ◽  
Christina M. Romagosa ◽  
Julien Martin ◽  
...  
Keyword(s):  
Optimal Control ◽  
Invasive Species ◽  
Linear Programming ◽  
Diffusion Model ◽  
Reaction Diffusion ◽  
Reaction Diffusion Model
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