Perturbation of strongly continuous cosine family generators
Rapid Emergence of Co-colonization with Community-acquired and Hospital-Acquired Methicillin-Resistant Strains in the Hospital Setting
Global Existence and Boundedness of Solutions to a Model of Chemotaxis
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in -dimensional space. We prove the existence of solutions, which exist globally, and are -bounded on finite time intervals. The hypotheses require nonlocal conditions on the species-induced production of the chemoattractant.
Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1)
Early studies of the novel swine-origin 2009 influenza A (H1N1) epidemic indicate clinical attack rates in children much higher than in adults. Non-medical interventions such as school closings are constrained by their large socio-economic costs. Here we develop a mathematical model to ascertain the roles of pre-symptomatic influenza transmission as well as symptoms surveillance of children to assess the utility of school closures. Our model analysis...
Page 1