 My Math Forum Population Model-logistic nonlinear first-order ordinary differential equation

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 April 10th, 2015, 05:13 PM #1 Newbie   Joined: Feb 2015 From: Sylmar Posts: 5 Thanks: 0 Population Model-logistic nonlinear first-order ordinary differential equation I have to find the explicit solution to this harvesting problem in a population model where dN/dt=rN(1-N/K)-H(N) such that H=qEN, subject to initial condition N(0)=N_0. Here N=N(t) and r,K,q, and E are positive constants. I also have to deduce the two limiting behaviors as t approaches infinity. So far I have broken down the equation to (1/N)dN/dt+(r/k)N=(r-qE). Any hints on how to do the problem would be very much appreciated. I'm having trouble understanding what they mean by finding the explicit solution and deducing two limiting behaviors. Tags differential, differential equation, equation, first order, firstorder, mathematical modeling, modellogistic, nonlinear, ordinary, population, population model Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post nitin7785 Differential Equations 0 November 7th, 2013 12:22 AM JulieK Differential Equations 2 December 22nd, 2012 10:58 AM petkiri Applied Math 2 January 31st, 2012 08:41 PM mbradar2 Differential Equations 8 September 25th, 2010 01:53 PM petkiri Algebra 0 December 31st, 1969 04:00 PM

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