Extension of Prey and Predator Model

My group had a presentation on prey and predator model and I talked about the extension of the model, which is the competition model Now, I need to write 500 words for my own part of presentation. My script is attached in the relevant powerpoint slides. (From page 6 to 8). Please try to do literature search (because I just made the model up and not sure if it really exist) on the competition model and elaborate the model using 500 words, talk about how will different combinations of values of a, b, m and m change the plot of the model and the possible further application of such model. E.g. on predicting when under what sets of parameters a,b,m,n the species will extinct etc.
***NOTE: Do not write essay on the part of prey and predator model as that will be done by my groupmate***

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