| 具有年龄结构的非线性种群发展方程 |
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| 引用本文： | 李小让. 具有年龄结构的非线性种群发展方程[J]. 生物数学学报, 1994, 0(3) |
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| 作者姓名： | 李小让 |
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| 作者单位： | 西安交通大学数学系!西安710049 |
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| 摘 要： | 本文研究了笔者与马知恩教授所提出的一类具有年龄结构的种群发展模型，该模型较完满地解决了古典的Shape-Lotka方程所存在的忽略了孵化期的问题。文中对非线性系统解的适定性、种群发展的有界性和平衡分布作了讨论，利用算子半群理论研究了解的渐近性态，并考虑了一类特殊模型；对结果给予了生物解释。
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| 关 键 词： | 种群动力学 年龄结构 C。半群 稳定性 |
NONLIEAR AGE-DEPENDENT POPULATION EVOLUTION EQUATION |
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| Li Xiaorang. NONLIEAR AGE-DEPENDENT POPULATION EVOLUTION EQUATION[J]. Journal of Biomathematics, 1994, 0(3) |
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| Authors: | Li Xiaorang |
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| Affiliation: | Department of Mathematics Jiaotong University Xian |
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| Abstract: | A type of age dependent population dynamics model is studied,this model overcomes the chief short-coming of the classical model. The existence and uniqueness of the solution, boundedness of the population evolution and existence of the equlibrium distribution of the nonlinear system are investigatead.Theory of operator semigroup is employed to studied the asymptotic behavior of solution. An example is considered with biological explaination. |
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| Keywords: | Population dynamics Age-structure Co-Semigroup Stability. |
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