Citation: | Zan Tin-quan. Study on the Complicated Dynamical Behaviors of Nonlinear Ecosystem (Ⅰ)[J]. Applied Mathematics and Mechanics, 1988, 9(10): 925-931. |
[1] |
昝廷全,生态系统的内环境熵论与西北开发,西北开发探索文集(第二集)四川科技出版社(1987).36-38.
|
[2] |
昝廷全、赵松岭,生态系统的热力学理论,首届全国嫡与交叉科学学术会议论文集,气象出版社(待出版).
|
[3] |
昝廷全,系统方法在冻土研究中的应用,自然杂志,11 (1985), 825-829.
|
[4] |
昝廷全,冻结壁系统热力学嫡模型(I),应用数学和力学,8, 8 (1987), 743-749.
|
[5] |
May, M., Theoretical Ecology, Blackwell Scientific Publishers(1981), 167-191.
|
[6] |
Bhargava, S.C., Karmeshu and T.E. Unny, Role of diffusion in some growth models, Ecological Modelling, 24(1984), 1-8.
|
[7] |
May, M., Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos, Science, 186(1974), 645-647.
|
[8] |
May, M., Simple mathematical models with very complicated dynamics, Nature, 261(1976), 459-467.
|
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