There is no required textbook.

I will post
 lecture notes
to the web page.

The mathematics library has a number of ebooks that can be downloaded
and used as textbooks or as supplemental reading for this course.

Examples include:

Brauer, F. and Castillo-Chavez, C. 2012. Mathematical Models in Population Biology and Epidemiology. Springer, New York.

Edelstein-Keshet, L. 2005. Mathematical Models in Biology. SIAM, Philadelphia.

Haberman, R. 1998. Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow. SIAM, Philadelphia.

Humi, M. 2017. Introduction to Mathematical Modeling. CRC Press, Boca Raton.

Tung, K. K. 2007. Topics in Mathematical Modeling. Princeton University Press, Princeton.

Witelski, T. and Bowen, M. 2015. Methods of Mathematical Modelling: Continuous Systems and Differential Equations. Springer, Cham.

Wollkind, D. J. and Dichone, B. J. 2017. Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences: Theoretical Predictions Compared with Data. Springer, Cham.

Other References:

Please see the references section for other useful books.