# delay differential equation

### A delay differential equation model of mealybugs and green lacewings

16

### Homotopy Continuation for Characteristic Roots of Delay Differential Equation

**differential**equations (ODEs) have been used as a fundamental tool of the mathematical modeler for long ...functional

**differential**

**equation**(FDE), which includes all DDEs, includes both the ...

45

### Three ways of treating a linear delay differential equation

**delay**-

**differential**equations (DDEs) have several features that make their analysis a challenging ...a

**delay**-

**differential**

**equation**(DDE) by use of a perturbation method, one ...

6

### Extinction of a delay differential equation model of plankton allelopathy

**delay**

**differential**

**equation**model of the growth of two-species competitive plankton with one toxin producing phytoplankton is studied in this ...a

**delay**

**differential**

**equation**...

14

### The Bezier Control Points Method for Solving Delay Differential Equation

**Delay**

**Differential**

**Equation**; Residual Function; Boundary Value Problem; Proportional Delays ...Introduction

**Delay**

**differential**equations are type of

**differential**equa- ...

9

### New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation

**delay**

**differential**

**equation**has appeared as early in the works of O. Arino [1]. Now a days, peoples’ concentration has been directed towards the ...

6

### Explicit Multistep Block Method for Solving Neutral Delay Differential Equation

**delay**

**differential**

**equation**(NDDE) of constant

**delay**type by applying explicit ...The

**delay**solutions of the unknown function will be interpolated using previous values and the ...

9

### AN ABSTRACT DELAY-DIFFERENTIAL EQUATION MODELLING SIZE DEPENDENT CELL GROWTH AND DIVISION*

15

### Fuzzy Delay Differential Equation in Predator-Prey Interaction: Analysis on Stability of Steady State

**Delay**

**Differential**

**Equation**in Predator-Prey Interaction: Analysis on Stability of Steady State Normah Maan, Khabat Barzinji, and Nor’aini ...fuzzy

**delay**predator-prey (FDPP) system is ...

5

### A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man

**delay**

**differential**

**equation**mathematical model which improves on earlier simpler models by taking into account observed experimental ...time

**delay**this equilibrium is unstable, but as the ...

18

### Asymptotic behavior of an odd-order delay differential equation

**delay**diﬀerential

**equation**; oscillation 1 Introduction Professor Ivan Kiguradze is widely recognized as one of the leading contemporary ex- perts in the qualitative theory of ordinary diﬀerential ...

10

### Invariant curves for a delay differential equation with a piecewise constant argument

7

### Oscillation of Nonlinear Delay Differential Equation with Non-Monotone Arguments

8

### Asymptotic behavior of a third order nonlinear neutral delay differential equation

**delay**diﬀerential equations. By using a generalized Riccati substitution and the integral averaging technique, a ...

7

### Representation of solution for a linear fractional delay differential equation of Hadamard type

**delay**diﬀerential

**equation**of Hadamard ...Mittag-Leﬄer

**delay**matrix functions with logarithmic functions and analyzing their properties, we derive the representation of solutions via the ...

7

### On stability regions of the modified midpoint method for a linear delay differential equation

**equation**with constant

**delay**. The main aim of the paper is to analyze the regions of asymptotic stability ...

10

### On stability and boundedness of solutions of a certain fourth order delay differential equation

14

### Existence of Positive Periodic Solutions for a Third-Order Delay Differential Equation

**Delay**

**differential**equations have received increasing attention during recent years since these equa- tions have been proved to be valuable tools in the modeling of many phenomena in various fields of ...

8

### Multiple periodic solutions to a class of nonautonomous second-order delay differential equation

**equation**have been obtained by the critical point theory (see [–]). However, most of these ...

13

### Large time behavior of a linear delay differential equation with asymptotically small coefficient

**equation**and the initial ...Bruijn

**equation**, x (t) = – x(t–1) t , t ≥ 1, our result yields an explicit asymptotic representation of the solutions as t → ...

9