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Mathematics

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Marshall University

Theses/Dissertations

2007

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Population Modeling By Differential Equations, Hui Luo Jan 2007

Population Modeling By Differential Equations, Hui Luo

Theses, Dissertations and Capstones

A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic. From this model the extinction of antelopes in China is predicted if we don’t consider the effects of humans on the population. Moreover, this model shows that the population is limited. A projected limiting number is given by this model. Some typical mathematical models are introduced such as exponential model and logistic model. The solutions of those models are analyzed.