Stochastic compartment models with Prendville growth rates. 1996

J H Matis, and T R Kiffe
Department of Statistics, Texas A&M University, College Station 77843-3143, USA. matis@stat.tamu.edu

The Prendville growth mechanism, which assumes a linearly decreasing population growth rate, was generalized to a multicompartment system by Parthasarathy and Kumar. This article shows that their solution is only an approximate one. A diagnostic test is presented to indicate parameter vectors for which this first approximation is not very accurate. A second approximation, which overcomes some limitations of the first one, is developed and illustrated.

UI MeSH Term Description Entries
D008962 Models, Theoretical Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Experimental Model,Experimental Models,Mathematical Model,Model, Experimental,Models (Theoretical),Models, Experimental,Models, Theoretic,Theoretical Study,Mathematical Models,Model (Theoretical),Model, Mathematical,Model, Theoretical,Models, Mathematical,Studies, Theoretical,Study, Theoretical,Theoretical Model,Theoretical Models,Theoretical Studies
D011158 Population Growth Increase, over a specific period of time, in the number of individuals living in a country or region. Population Explosion,Baby Boom,Baby Bust,High Fertility Population,Natural Increase,Past Trends,Population Growth and Natural Resources,Population Size and Growth,Zero Population Growth,Baby Booms,Baby Busts,Explosion, Population,Explosions, Population,Growth, Population,High Fertility Populations,Increase, Natural,Increases, Natural,Natural Increases,Past Trend,Population Explosions,Population, High Fertility,Populations, High Fertility,Trend, Past,Trends, Past
D003411 Arvicolinae A subfamily of MURIDAE found nearly world-wide and consisting of about 20 genera. Voles, lemmings, and muskrats are members. Clethrionomys,Cricetidae,Dicrostonyx,Lemmings,Lemmus,Mice, Red-Backed,Microtinae,Microtus,Muskrats,Ondatra,Voles,Arvicolines,Microtines,Mouse, Red-Backed,Myodes,Ondatra zibethicus,Arvicoline,Lemming,Mice, Red Backed,Microtine,Mouse, Red Backed,Muskrat,Red-Backed Mice,Red-Backed Mouse,Vole
D003643 Death Irreversible cessation of all bodily functions, manifested by absence of spontaneous breathing and total loss of cardiovascular and cerebral functions. End Of Life,End-Of-Life,Near-Death Experience,Cardiac Death,Determination of Death,Death, Cardiac
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D001516 Bees Insect members of the superfamily Apoidea, found almost everywhere, particularly on flowers. About 3500 species occur in North America. They differ from most WASPS in that their young are fed honey and pollen rather than animal food. Apidae,Apis,Apis mellifera,Apis mellifica,European Honey Bee,Honey Bee Drone,Bee,Bee, European Honey,Drone, Honey Bee,European Honey Bees,Honey Bee Drones,Honey Bee, European
D013269 Stochastic Processes Processes that incorporate some element of randomness, used particularly to refer to a time series of random variables. Process, Stochastic,Stochastic Process,Processes, Stochastic

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