The best models are generalised additive. Find literature on how to develop these :)

See, for example:

Article Generalized Additive Models Used to Predict Species Abundanc...

Dear Ali Raza,

I came across your inquiry regarding the development of a mathematical model in biology. Given your interest, I believe you might find value in my recent research titled "The Golden Ratio Theorem: A Framework for Interchangeability and Self-Similarity in Complex Systems."

This research delves into the foundational aspects of fractal mathematics and uncovers a unique methodological paradigm rooted in the Golden Ratio. The principles of interchangeability and self-similarity, as explored in this study, can offer invaluable perspectives on understanding complex biological systems. The fractal nature of the Golden Ratio, as highlighted in my research, provides a profound understanding of system dynamics that could be instrumental in the creation of a mathematical model in biology.

You can access the detailed findings of this preprint research on ResearchGate via the following URL:

https://www.researchgate.net/publication/370819046_The_Golden_Ratio_Theorem_A_Framework_for_Interchangeability_and_Self-Similarity_in_Complex_Systems

I believe the insights from this study might resonate with your quest and provide foundational knowledge in developing a robust mathematical model for your intended application in biology. I would be more than happy to collaborate or discuss further should you find any alignment with your objectives.

Best regards,

Alessandro Rizzo

I presume you mean deterministic and/or stochastic mathematical models of biological systems based on physics and chemistry rather than statistcal models of data analysis .

The attached papers give exanples of both types.