# Questions tagged [biology]

For questions regarding mathematical concepts with applications to Biology.

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### Deriving logistic growth equation from the exponential

I'm following along with this: https://jdyeakel.github.io/teaching/ecology/section9/ and I just want to make sure my derivation is correct since this website seems to use prime notation not for ...
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### How to read the surface plots?

I was reading this paper and I could not understand this figure. How do you read these kind of graphs? How to interpret the twists and folds; it's not like heat maps that are intuitive. Any help ...
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### Stability of the modified predator-prey equations?

So I'm facing a modified predator-prey model: $$\dfrac{dU}{dt} = aU\left(1 - \dfrac{U}{K_U}\right) - cUV,$$ $$\dfrac{dV}{dt} = ceUV - bV,$$ where $a, b, c, e > 0$. To determine the stability, I ...
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### Coupled Diffusion Equations

I am new to mathematical-biology and I have to solve the following (diffusion-like) equation \begin{align} \frac{\partial a(x,t)}{\partial t}&= D \frac{\partial^2 a(x,t)}{\partial x^2}\\ \frac{\...
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### Simulating a continuous-time Markov branching process

For my MMath dissertation I am exploring the medicinal applications of branching processes, including the Galton-Watson process, Bellman-Harris process ETC. I would like a way for these processes to ...
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### De Finetti Diagrams Proof

We hav e seen that the genotypic frequencies in a two-allele system can be drawn as points on a de Finetti diagram, sketched above. If the altitude of your equilateral triangle is one, the genotype ...
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### How to calculate fixed points and plot bifurcation diagram for non-linear ODE system

I am trying to understand how to analyse a system of coupled, non-linear ODEs taken from this paper. I want to perform a fixed point analysis and plot a bifurcation diagram to show how fixed points ...