**1. Introduction**

Biological mathematics is an edge discipline between biology and mathematics. It studies and solves the biological problems with mathematical method, and carries on the theory research to the mathematics method which is related to biology. Biological mathematics has many aspects: biological statistics, quantitative genetics, mathematical ecology and mathematical biology taxonomy can be used as the four major branches.

**2. Main Methods**

General methods are established to study the mathematical model of the object and the qualitative and quantitative research, the application of mathematical techniques: differential equations, linear algebra, probability theory and mathematical statistics, abstract algebra, topology, catastrophe theory and the development of electronic computer to graduate students in mathematics and a new breakthrough. Biostatistics with statistical methods for studying the biology of objective phenomenon; quantitative genetics research of mathematical methods in different changes in all genotypes, quantitative research genetic regularity; mathematical ecology mathematical theory and method for describing ecosystem behavior dynamic quantitative relation and various kinds of ecological models are set up, the simulation of animal behavior; mathematical taxonomy using modern mathematical methods and tools (especially electronic computer) to study the ancient biological taxonomy.

**3. Branch Disciplines**

There are many branches of mathematical biology, such as the application of biology, and there are quantitative taxonomy, quantitative genetics, quantitative ecology, microbial physiology and biomechanics. These branches are the result of the combination of mathematics and biology in different fields, and have a clear scope of research in biology. From the study on the use of mathematical methods are divided, mathematical biology can be divided into biostatistics, biological information theory, on biological systems, biological control theory and biological equation. These branches are different from the former; they have no clear biological research objects, only study the mathematical methods and theories related to biological applications.

**4. Mathematical Foundations**

Biomathematics has rich mathematical theory basis, including set theory, probability theory, mathematical statistics, game theory, calculus, differential equations, linear algebra and matrix theory and topology, including some branches of modern mathematics, such as information theory, graph theory, control theory, system theory and fuzzy mathematics etc. Due to the complexity of life, the mathematical problems raised in biology are usually very complex, and a lot of computational work is needed. As a result, the computer is the basis of the generation and development of biological mathematics, which has become an important tool to study and solve biological problems. However, as far as the content of the subject is concerned, the essential aspect of biomathematics needs to solve and study is biology problems, mathematics and computer are only the tools and methods to solve the problem. Therefore, biomathematics usually belongs to biology rather than mathematics like other biological edge disciplines.

**5. Research Content**

Quantify

Mathematical model

Comprehensive analysis

Probability and statistics

Discontinuous mathematics

**6. Mathematical Model**

A mathematical model is a mathematical system that can represent and describe some of the phenomena, characteristics and conditions of the real world. Mathematical model can quantitatively describe the motion of material life, a complex biological problems using mathematical model can be transformed into a mathematical problem, through the logic of mathematical models, equations and calculations, the conclusion about the objective things can be obtained, to achieve the purpose of studying life phenomena.