Parabolic Equations in Biology pdf epub mobi txt 电子书 下载 2025
- 生物-生物数学
- 数学-odepde
- 偏微分方程
- 生物数学
- 抛物方程
- 数学建模
- 生物物理
- 扩散过程
- 数值分析
- 生态学
- 生理学
- 生物动力学
具体描述
This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.
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