ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance: Programming in R provides a comprehensive examination of mathematical models for antibiotic/antimicrobial resistance using ordinary and partial differential equations (ODE/PDEs). The book covers both the fundamental ODE model and the detailed PDE model, which offers a spatiotemporal distribution of four dependent variable components: susceptible bacteria population density, resistant bacteria population density, plasmid number, and antibiotic concentration.

To facilitate the implementation of these models, the book presents computer-based routines programmed in R, a high-quality, open-source scientific computing system that can be easily accessed online. By utilizing R, the book minimizes the need for formal mathematics and eliminates the requirement for theorems and proofs.

The PDE analysis in this book is based on the method of lines (MOL), a well-established algorithm for solving PDEs using finite differences. The book provides downloadable routines, allowing readers to execute the example models without prior knowledge of numerical methods or computer coding. These routines can then be modified and extended to explore variations of the antibiotic/antimicrobial models, such as changes in the ODE/PDE parameters and the formulation of the model equations.

In addition to the PDE routines based on the method of lines, the book also offers transportable computer source codes in R. These codes are accompanied by line-by-line descriptions, providing readers with a clear understanding of how the code relates to the mathematical models and algorithms.

Authored by a prominent researcher and educator in the field of PDE models, this book is a valuable resource for anyone interested in studying antibiotic/antimicrobial resistance using mathematical analysis and computer programming.

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