Question

Q1/ Consider the modified logistic population growth equation P = Pla-bP) + ce-P Here, and k are positive constants. The additional term ce represents the immigration. Clearly, the immigration is less when the population is large than when it is small. This decrease may be caused, for example, by the imposition of quotas, or by overcrowding of the region and a resulting deterioration of the favorable conditions that had attracted immigrants. Use Runge Kutta method to find the solution of the initial value problem, P (O) - Po over the interval [0, 0.1) when a = b = k = 1, c = Po = 0.1

Answer 1