Abstract Using a series of fractional powers we present representation the solution to logistic equation is presented. To simplify consider simplest case and prove that power indeed exact solution. Some numerical approximations are presented show good obtained by truncating series.

This paper is a follow-up to previous work where we considered multi-patch model, each patch following logistic law, the patches being coupled by symmetric migration terms. In this drop symmetry hypothesis. First, in case of perfect mixing, i.e when rate tends infinity, total population follows law with carrying capacity which general different from sum n capacities, and depends on Second, dete...

In this article, we study a fractional control problem that models the maximization of profit obtained by exploiting certain resource whose dynamics are governed logistic equation. Due to singularity problem, develop different resolution techniques, both for classical case and case. We perform several numerical simulations make comparison between cases.

in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

where A = [uVlnxn with aU = 6i,ji + hi_ ,,j, C = I n-‘J, I is the n x n identity matrix and J is the n x n matrix of all 1’s. This determinant arises in the calculation of cumulants of a statistic analogous to Pearson’s chisquared for a multinomial sample (Sibson [5]), and its value has been conjectured by Good [2]. In this paper we use enumerative methods to prove Good’s conjecture. The partic...