Mathematical Modeling in Biology: A Research Methods Approach

Mathematical Modeling in Biology: A Research Methods Approach is a textbook written primarily for advanced mathematics and science undergraduate students and graduate-level biology students. Although the applications center on ecology, the expertise of the authors, the methodology can be imported to any other science, including social science and economics. The aim of the book, beyond being a useful aid to teaching and learning the core modeling skills needed for mathematical biology, is to encourage students to think deeply and clearly about the meaning of mathematics in science and to learn significant research methods. Most importantly, it is hoped that students will experience some of the excitement of doing research.

Features

• Minimal pre-requisites beyond a solid background in calculus, such as a calculus I course.
• Suitable for upper division mathematics and sciences students and graduate-level biology students.
• Provides sample MATLAB codes and instruction in Appendices along with datasets available on https: //bit.ly/3fcLF3D.

《生物數學建模：研究方法論》是一本主要針對高級數學和科學本科生以及研究生生物學專業學生的教科書。雖然應用主要集中在生態學上，但作者的專業知識和方法可以應用於任何其他科學領域，包括社會科學和經濟學。本書的目標不僅僅是作為教學和學習數學生物學所需的核心建模技能的有用輔助工具，更重要的是鼓勵學生深入而清晰地思考數學在科學中的意義，並學習重要的研究方法。最重要的是，希望學生能夠體驗到進行研究的興奮感。

特點：
- 除了扎實的微積分背景（如微積分I課程）外，無需其他先備知識。
- 適合高年級數學和科學學生以及研究生生物學專業學生。
- 提供附錄中的示例MATLAB代碼和指導，以及在https://bit.ly/3fcLF3D上提供的數據集。

Shandelle M. Henson is Professor of Mathematics and Professor of Ecology at Andrews University, Michigan, USA. She uses dynamical systems theory and bifurcation theory to study nonlinear population dynamics and the effects of climate change on marine organisms. Shandelle earned a Ph.D. in mathematics at the University of Tennessee, Knoxville and did several years of postdoctoral work at the University of Arizona. She serves as editor-in-chief of the journal Natural Resource Modeling and is a coauthor of the book Chaos in Ecology: Experimental Nonlinear Dynamics (Academic Press 2003) which documented chaotic dynamics in laboratory populations of insects.

James L. Hayward is Professor Emeritus of Biology at Andrews University, Michigan, USA. He earned a Ph.D. in zoology from Washington State University, and he has studied the behaviors and population dynamics of marine birds and mammals in the Pacific Northwest of North America since he began graduate studies in 1972. In addition, Jim has studied the behavior of marine iguanas and flightless cormorants on the remote and uninhabited island of Fernandina, the westernmost island in the Galapagos. He also is a recognized expert in the fossilization of eggshell in birds and dinosaurs.

Shandelle and Jim, a wife-husband research team, are widely published in both the technical and popular literature, and both have won awards for their teaching. They have applied mathematical methods to the behavioral dynamics of seabirds at Protection Island National Wildlife Refuge in the Strait of Juan de Fuca, Washington, USA since 2002. They reside in Niles, Michigan, USA and they have a daughter, son-in-law, and four grandsons. They enjoy hiking, geology, art, music, and literature.

Shandelle M. Henson是美國密歇根州安德魯斯大學的數學和生態學教授。她使用動力系統理論和分歧理論研究非線性人口動態和氣候變化對海洋生物的影響。Shandelle在田納西大學諾克斯維爾分校獲得數學博士學位，並在亞利桑那大學進行了幾年的博士後研究。她擔任《自然資源建模》雜誌的主編，並是《生態混沌：實驗非線性動力學》（學術出版社，2003年）一書的合著者，該書記錄了昆蟲實驗室族群中的混沌動態。

James L. Hayward是美國密歇根州安德魯斯大學的生物學名譽教授。他在華盛頓州立大學獲得動物學博士學位，自1972年開始研究北美太平洋西北地區海洋鳥類和哺乳動物的行為和人口動態。此外，Jim還研究了加拉帕戈斯群島最西端的偏遠無人島費爾南迪納上的海龍蜥和無翼鸕鷀的行為。他還是鳥類和恐龍蛋殼化石的認可專家。

Shandelle和Jim是一對夫妻研究團隊，在技術和大眾文獻中廣泛發表論文，並都獲得了教學獎項。自2002年以來，他們將數學方法應用於華盛頓州胡安·德·福卡海峽的保護島國家野生動物保護區的海鳥行為動態研究。他們居住在美國密歇根州的奈爾斯，並有一個女兒、女婿和四個孫子。他們喜歡徒步旅行、地質學、藝術、音樂和文學。