Mini Review: A Note on Nonoscillatory Solutions for Higher Dimensional Time Scale Systems

In this paper, we focus on nonoscillatory solutions of two (2D) and three (3D) dimensional time scale systems and discuss nonexistence of such solutions

Parameter Identification for Gompertz and Logistic Dynamic Equations

In this paper, we generalize and compare Gompertz and Logistic dynamic equations in order to describe the growth patterns of bacteria and tumor. First of all, we introduce two types of Gompertz equations, where the first type 4-paramater and 3-parameter Gompertz curves do not include the logarithm of the number of individuals, and then we derive 4-parameter and 3-parameter Logistic equations. We notice that Logistic curves are better in modeling bacteria whereas the growth pattern of tumor is described better by Gompertz curves. Increasing the number of parameters of Logistic curves give favorable results for bacteria while decreasing the number of parameters of Gompertz curves for tumor improves the curve fitting. Moreover, our results overshadow some of the existing results in the literature

On Nonoscillatory Solutions of Emden-Fowler Dynamic Systems on Time Scales

We study the existence and asymptotic behavior of nonoscillatory solutions of Emden-Fowler dynamic sytems on time scales. In order to show the existence, we use Schauder, Knaster and Tychono Fixed Point Theorems. Some examples are illustrated as well