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Penna model

Author: ZhouHui
Tutor: HeMingFeng
School: Dalian University of Technology
Course: Applied Mathematics
Keywords: Penna model Monte Carlo method Populations Mathematical model Mortality rate Common ancestor
CLC: O29
Type: Master's thesis
Year: 2004
Downloads: 246
Quote: 0
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Abstract


Penna model the population evolution simulation model, which is based on asexual reproduction in 1995 by the Brazilian T. J. P. Penna proposed. Penna model is based on the age structure of the population as the research object , the model except for age , considering the pressure on the environment , factors such as genetic factors , breeding age , breed strength and mutation , and with the progress of molecular biology , the corresponding results integrated into the Penna model Penna model has made significant progress . The Penna model one of the main reasons for the success of using a suitable computer processing method based on the individual bit string . Enables people to conduct large-scale population evolution simulation on PC . Penna model is widely used in the study of population dynamics on many issues , the the catastrophic death such as salmon and Alaska wolves development . In the the Penna model development and application , basically continue to use the death mechanism of Penna model , a detailed analysis of the proportion of mortality and causes of death is a necessary task . Penna other model is a very interesting character , is the common ancestor of the problem , this article also discussed . The paper is organized as follows : Chapter gives brief Penna model and its development status . Given in the second chapter of the theoretical description of the mathematical models of single populations and Penna model . The mathematical theoretical description of the Penna model is very complex , there is a great difference and the results obtained from the theoretical and actual simulation results , which reflects its advantages as a simulation model . The Penna model several problems , including the Penna model mortality analysis , the cause of death common ancestor in the third chapter . And given some of the changes on mortality , the leading cause of death and the existence and nature of the common ancestor of important conclusions, including : excessive mutation of the disease as a major cause of death ; die of old age individuals in any case is almost non-existent , and as long as the population does not become extinct common ancestors must exist , and so on. Finally penna model can still continue in-depth study of several issues raised views .

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CLC: > Mathematical sciences and chemical > Mathematics > Applied Mathematics
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