Solutions to Hutchinson's Equation (ODE biomath time delay models) | Mathematics | Page 1

thorny crypt Jul 9, 2025, 5:30 AM

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Currently a little bit confused on the solution to Hutchinson's Equation given in Murray biomath - i have no idea where to even start deriving this. Photos below

viral skyBOT Jul 9, 2025, 5:30 AM

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thorny crypt Jul 9, 2025, 5:30 AM

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rn_image_picker_lib_temp_688b0cda-ba76-4430-aa5b-79e41d7d9735.jpg

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I cannot follow the logic from line 1.16 to 1.17. My first guess was to treat this like a separable ODE but that clearly does not work, since integrating n(t-T) wrt t raises issues

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I did manage to find the same result on https://www.math.miami.edu/~ruan/MyPapers/Ruan-nato.pdf

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But there is no explanation offered there

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I'm probably missing something stupid here (it's like 2 am n im a bit rusty) but if someone could point me in the right direction that would be much appreciated!

#Solutions to Hutchinson's Equation (ODE biomath time delay models)