In this example, there are exactly two positive 3-periodic solutions in the hematopoiesis model. Simulation shows that one periodic solution is stable and the other is unstable. It also shows that our result can be improved by weakening assumptions about the production function.doi:10.1016/j.cnsns.2020.105273Jitsuro SugieYan Yan...
A different way to define these distributions is found in set theory: “A Unimodal Distribution (which we will refer to as a “unimodal function”) f is a distribution for which the sets {x ∈ ℝ n : f(x) ≥ c} are contractible for each real number c.” Hickok et al. [2] Thi...
Fig. 2. The architecture of analogous LSTM unit, which can function as an RNN’s hidden layer (h in Fig. 1), is notable for its two transfer states: a cell state Ct and a hidden state Ht, compared to an RNN’s single transfer state. It allows LSTM to handle longer sequences and...
Under the premise of these principles, we propose a novel loss function for fully adaptive label distribution learning, namely unimodal-concentrated loss. Specifically, the uni- modal loss derived from the learning to rank strategy con- strains the di...
( \(e_{g}\) ), for example periodic solutions for some \(d>c>0\) . the idea is that if the parameters a , b are close to c , d , respectively, and function f is close to g in a certain sense given below, then the special solutions obtained for equation ( \(e_{...
In the ‘symmetric’ case then-th renormalization of the function converges to some analytic function with unknown closed formula. Here we obtain a degenerate limit, but whose form is entirely explicit, see Theorems5and6. Themaps we consider do not have wandering intervals, see Theorem10. Absenc...
The Statistician - Frisén - 1980 () Citation Context ...here the mode of the regression function changes from an increasing trend to a decreasing trend. In general, the cross-over point for an optimal unimodal fit is not unique. The procedures followed in =-=[30]-=-–[34], take a ...
Unimodal production functionPositive periodic solutionsExistence regionContinuation theoremA discrete model describing the increase and decrease of blood cells is considered in this paper. This hematopoiesis model is a discretization of a delay differential equation with unimodal production function whose ...
(2000) Optimal Burn-in Decisions for products with an unimodal failure rate function, European Journal of Operational Research, 126, no. 3:534-540Dong Shang Chang.Optimal burn-in decision for products with an unimodal failure rate function[].European Journal of Oper-ational Research.2000...
Discrete hematopoiesis modelUnimodal production functionPositive periodic solutionsGlobal asymptotic stabilityPeriodic delayThe present paper is concerned with the global dynamics of a discrete hematopoiesis model. This model has several unimodal production functions, and periodic coefficients and periodic time ...