A simple approach to optimal control of invasive species

2006 ◽  
Vol 70 (4) ◽  
pp. 431-435 ◽  
Author(s):  
Alan Hastings ◽  
Richard J. Hall ◽  
Caz M. Taylor
2020 ◽  
Vol 33 (2) ◽  
Author(s):  
Ben M. Dia ◽  
Mamadou L. Diagne ◽  
M. Samsidy Goudiaby

2019 ◽  
Vol 49 ◽  
pp. 45-70 ◽  
Author(s):  
Christopher M. Baker ◽  
Fasma Diele ◽  
Deborah Lacitignola ◽  
Carmela Marangi ◽  
Angela Martiradonna

Ecosphere ◽  
2017 ◽  
Vol 8 (10) ◽  
pp. e01979 ◽  
Author(s):  
Mathieu Bonneau ◽  
Fred A. Johnson ◽  
Brian J. Smith ◽  
Christina M. Romagosa ◽  
Julien Martin ◽  
...  

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 975
Author(s):  
Rebecca Pettit ◽  
Suzanne Lenhart

Managing invasive species in rivers can be assisted by appropriate adjustment of flow rates. Using a partial differential equation (PDE) model representing an invasive population in a river, we investigate controlling the water discharge rate as a management strategy. Our goal is to see how controlling the water discharge rate will affect the invasive population, and more specifically how water discharges may force the invasive population downstream. We complete the analysis of a flow control problem, which seeks to minimize the invasive population upstream while minimizing the cost of this management. Using an optimality system, consisting of our population PDE, an adjoint PDE, and corresponding optimal control characterization, we illustrate some numerical simulations in which parameters are varied to determine how far upstream the invasive population reaches. We also change the river’s cross-sectional area to investigate its impact on the optimal control.


2015 ◽  
Vol 17 (9) ◽  
pp. 2545-2563 ◽  
Author(s):  
İ. Esra Büyüktahtakın ◽  
Eyyüb Y. Kıbış ◽  
Halil I. Cobuloglu ◽  
Gregory R. Houseman ◽  
J. Tanner Lampe

Author(s):  
E. A. Kenik ◽  
J. Bentley

Cliff and Lorimer (1) have proposed a simple approach to thin foil x-ray analy sis based on the ratio of x-ray peak intensities. However, there are several experimental pitfalls which must be recognized in obtaining the desired x-ray intensities. Undesirable x-ray induced fluorescence of the specimen can result from various mechanisms and leads to x-ray intensities not characteristic of electron excitation and further results in incorrect intensity ratios.In measuring the x-ray intensity ratio for NiAl as a function of foil thickness, Zaluzec and Fraser (2) found the ratio was not constant for thicknesses where absorption could be neglected. They demonstrated that this effect originated from x-ray induced fluorescence by blocking the beam with lead foil. The primary x-rays arise in the illumination system and result in varying intensity ratios and a finite x-ray spectrum even when the specimen is not intercepting the electron beam, an ‘in-hole’ spectrum. We have developed a second technique for detecting x-ray induced fluorescence based on the magnitude of the ‘in-hole’ spectrum with different filament emission currents and condenser apertures.


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