Introduction to Mathematical Methods in Population Theory
This textbook provides an introduction to the mathematical methods used to analyse deterministic models in life sciences, including population dynamics, epidemiology and ecology. The book covers both discrete and continuous models. The presentation emphasises the solvability of the equations appeari...
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| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| 版: | 1st ed. 2025. |
| シリーズ: | Springer Undergraduate Mathematics Series,
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-031-65491-6 |
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目次:
- 1 Mathematical modelling
- Part I Unstructured Models
- 2 Models with discrete time
- 3 Models with continuous time
- 4 Qualitative theory for a single equation
- Part II Models with discrete structure
- 5 Linear models with discrete structure
- 6 Continuous time non-linear models for interacting species and age-structured populations
- 7 Discrete time non-linear models for interacting species and structured populations
- 8 Positivity in natural science models
- Part III Models with continuous age structure
- 9 McKendrick–von Foerster model
- 10 Basic nonlinear models. Part IV Appendices
- A Spaces, norms and order
- B Differential equations and systems
- C Linear algebra tools
- D First order partial differential equations and the method of characteristics.