I am putting together a 15-page research article that blends mathematical biology, epidemiology, and a touch of history to shed new light on how the Black Plague spread. The core of the paper must be a partial-differential-equation model explicitly built for disease-spread dynamics; ordinary ODE‐style compartmental work alone will not be enough. Here is the scope I need covered: • Begin with a concise historical overview that grounds the reader in the social conditions of 14th-century Europe and the biological nature of Yersinia pestis. • Formulate a spatial PDE model (SIR) and justify every compartment and parameter with citations from current or historical data sets. • Perform a short nondimensionalisation, derive the basic reproduction number, and provide a stability discussion of the disease-free and endemic equilibria. • Run at least one numerical simulation—MATLAB, Python/NumPy-SciPy, or a similar tool is fine—and visualise the resulting infection wave over time and distance. • Compare your simulated curves with recorded mortality data from two or more European cities to illustrate the model’s strengths and limitations. • Close with a critical discussion of model assumptions, data gaps, and possible extensions. Deliverables 1. A polished, journal-style Word or LaTeX document of roughly 15 pages (with references), complete with equations, figures, and in-text citations. 2. Source code and a brief “how to run” note for the numerical experiment. 3. A properly formatted bibliography (References in format: Author et al, Journal (year)). I will review the draft against clarity of writing, mathematical rigour, correctness of historical references, and reproducibility of the simulation. Please reach out with any questions about data sources or preferred numerical methods. Report structure: Abstract Introduction Material and methods Results Conclusion and discussion Data/code availability statement(Github) Generative AI use declaration References