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Full-Text Articles in Physical Sciences and Mathematics
Optimal Control For Management In Gypsy Moth Models, Marco Vinisio Martinez
Optimal Control For Management In Gypsy Moth Models, Marco Vinisio Martinez
Doctoral Dissertations
The gypsy moth, Lymantria dispar (L.), is an invasive species and the most destructive forest defoliator in North America. Gypsy moth outbreaks are spatially synchronized over areas across hundreds of kilometers. Outbreaks can result in loss of timber and other forestry products. Greater losses tend to occur to the ecosystem services that forests provide, such as wildlife habitat, carbon sequestration, and nutrient cycling. The United States can be divided in three different areas: a generally infested area (populations established), an uninfested area (populations not established), and a transition zone between the two. There are different management programs matching these different …
Optimal Control Modeling And Simulation, With Application To Cholera Dynamics, Chairat Modnak
Optimal Control Modeling And Simulation, With Application To Cholera Dynamics, Chairat Modnak
Mathematics & Statistics Theses & Dissertations
The theory of optimal control, a modern extension of the calculus of variations. has found many applications in a wide range of scientific fields, particularly in epidemiology with respect to disease prevention and intervention. In this dissertation. we conduct optimal control modeling, simulation and analysis to cholera dynamics. Cholera is a severe intestinal infectious disease that remains a serious public health threat in developing countries. Transmission of cholera involves complex interactions between the human host, the pathogen, and the environment. The worldwide cholera outbreaks and their increasing severity, frequency and duration in recent years underscore the gap between the complex …