Chapter 67
Linear Algebra in Mathematical Population Biology and Epidemiology
Fred Brauer
University of British Columbia
Carlos Castillo-Chavez
Arizona State University
Linear algebra is at the core of applications in the computational, mathematical, and sta tistical sciences. Hence, not surprisingly, linear algebra is central to the study of differential equations. It has provided the mathematical structure required for the study of applications while differential equations have naturally supplied function spaces that have emerged from the study of dynamical processes. It is here that the connections between linear algebra and dynamic biological process come into play. The applications that we will address come from the field of population biology ...
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