In this paper we use the fractional stochastic integral given by Carmona et al. [1] to study a delayed logistic equation driven by fractional Brownian motion which is a generalization of the classical delayed logistic equation . We introduce an approximate method to find the explicit expression for the solution. Our proposed method can also be applied to the other models and to illustrate this,...

In this article, we study the degenerate periodic logistic equation with homogeneous Neumann boundary conditions:    ∂tu−∆u = au− b(x, t)u in Ω× (0,∞), ∂νu = 0 on ∂Ω× (0,∞), u(x, 0) = u0(x) ≥, 6≡ 0 in Ω, where Ω ⊂ R (N ≥ 2) is a bounded domain with smooth boundary ∂Ω, a and p > 1 are constants. The function b ∈ C(Ω × R) (0 < θ < 1) is T-periodic in t, nonnegative, and vanishes (i.e., has a...

This paper presents an empirical investigation of the critical determinants for the adoption of e-market in Australian small-and-medium sized enterprises (SMEs) within the technology-organization-environment (TOE) framework. A conceptual model is proposed for better understanding the adoption of e-market in Australian SMEs. Structural equation modelling is used for testing and validating the co...

In this paper we discuss the analysis of multi-phase, or multi-stage, case-control studies and present an efficient semiparametric maximum-likelihood approach that unifies and extends earlier work, including the seminal case-control paper by Prentice & Pyke (1979) as well as work by Breslow & Cain (1988), Scott & Wild (1997), Breslow & Holubkov (1997), and others. The theoretical derivations ap...

In this paper, we study a more generalized class of periodic logistic equations. By using the method of coincidence degree, a set of sufficient conditions is obtained for the existence of positive periodic solutions of the equations which are under the consideration. 2002 Elsevier Science Inc. All rights reserved.