Author

Hui Luo

Date of Award

2007

Degree Name

Mathematics

College

College of Science

Type of Degree

M.S.

Document Type

Thesis

First Advisor

Bonita Lawrence

Second Advisor

Ari Aluthge

Third Advisor

John Drost

Abstract

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.

Subject(s)

Differential equations.

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