Part I. Modeling Biological Factors.- Chapter 1. Application of Geometric Progression.- Chapter 2. Influence From Surrounding.- Chapter 3 .From Discrete Time Model to Continuous Time Model.- Chapter 4 Continuous Time Modeling for Birth and Death Processes.- Chapter 5. Continuous Time Modeling for Single Species Population Dynamics.- Chapter 6. Modeling of Interspecific Reaction.- Chapter 7. Modeling for Competitive Relation.- Chapter 8. Modeling for Prey-Predator Relation.- Chapter 9. Modeling with Class Structure.- Chapter 10. Modeling for Age Structure.- Part II. Mathematical Equipments.- Chapter 11. Homogeneous Linear Difference Equation.- Chapter 12. Qualitative Analysis for Discrete Time Model.- Chapter 13. First Order Linear Ordinary Differential Equation.- Chapter 14. Qualitative Analysis for Continuous Time Model.- Chapter 15. Essentials of Poisson Process/Distribution.