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There are three seminal works that will give you an excellent grounding in the study of dynamical systems in population biology. The first details the foundations of population genetics: Crow, James F., and Motoo Kimura. An introduction to population genetics theory. (1970). The second deals with population ecology: Maynard-Smith, John. Models in ...


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Metrics of interest The two metrics you are interested in are $\pi$ - the mean number of differences between two randomly sampled (with replacement) alleles in a population $d$ - the mean number of differences between two randomly sampled (with replacement) alleles coming from two different species Consider two sequences ATCGTCAAT ATAGTTAAT There ...


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Considering your assumption: I'm just looking at the exponential part, where the simple exponential equation works. If we assume there's sufficient nutrients for bacteria to grow unchecked for a number of hours (more-or-less true in a real culture) In your original model you are using discrete states and fixed time steps. So, if 30 min is one ...


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Real bacteria population will likely reach some carrying capacity that will prevent them to grow exponentially. As a consequence, the exponential model will be a good fit for early growth only but after a while, one will need to use some other model (typically a logistic model). Logistic model Here, I quickly present one standard model of logistic growth ...



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