The cubic response surface of nitrogenase activity as depicted in Fig. 3 was tried to fit in the linear model involving linear and interactive components of t and c (t, c, t 2, c 2, tc, t 3, t 2 c, tc 2 and c 3).
Together, these observations indicate that a more complex model for IGF signalling exists, rather than the conventional model involving linear pathways through MAPK and PI3K.
Statistical regression models involve linear equations, which often lead to significant prediction errors due to poor statistical stability and accuracy.
(Multivariate linear path models involve linear mean function specifications).
We consider a discrete Nicholson's blowflies model involving a linear harvesting term.
Following this trend, we study the almost periodic behavior of a discrete analogue of Nicholson's blowflies model involving a linear harvesting term of form (1.3).
Assuming that harvesting is a function of the delayed estimate of the true population, Nicholson's blowflies model involving a linear harvesting term has been the object of recent research.
For the purpose of convenience, however, we shall consider a discrete Nicholson's blowflies model involving a linear harvesting term of the form Δ x ( n ) = − α ( n ) x ( n + 1 ) + β ( n ) x ( n − τ ( n ) ) e − γ ( n ) x ( n − τ ( n ) ) − H ( n ) x ( n − σ ( n ) ), (1.3).
In their recent paper [21], in particular, Berezansky et al. have put forward a question about the asymptotic behavior of the well-known Nicholson's blowflies model involving a linear harvesting term of the form x ′ ( t ) = − α x ( t ) + β x ( t − τ ) e − λ x ( t − τ ) − H x ( t − σ ), α, β, τ, λ, σ, H ∈ ( 0, ∞ ).
Stimulated by the works mentioned, in this paper, we aim to study the following discrete Nicholson's blowflies model involving a linear harvesting term: Delta x(n)=-alpha(n) x(n)+beta(n)x bigl n-tau(n) bigl n-tauamma(n) x(n-tau (n))}-H(n)x bigr(n-sigma(n) bigr), (1.2) where (ninmathbb{Z}), and α, β, γ, τ, σ, H are all pseudo-almost periodic sequences.
Moreover, the main analyses from a regression model involving non-linear terms can be described concisely and clearly.
