Organizer(s):

Name:

Affiliation:

Country:

Fathalla Rihan

United Arab Emirates University

United Arab Emirates

Ardak Kashkynbayev

Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Avenue, Astana

Kazakhstan

Yang Kuang

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287

USA

 Introduction:  

Many real-life problems, which are traditionally formulated using ordinary differential equations (ODEs), can be more accurately and naturally modeled by delay differential equations (DDEs). Such DDEs are widely used in biological and physical systems, such as population dynamics, epidemiology, immunology, physiology, and neural networks. Most biological and engineering systems are characterized by time delays or lags. Thus, differential equations with memory, represented by time delays (time lags), are more advantageous than models without memory. Differential equations become more stable and dynamic when memory is added. The purpose of this special session is to explore new trends and analytical insights into delay differential equations in biological systems, including the existence and uniqueness of solutions, their boundedness and persistence, their oscillatory behavior, their stability and bifurcation analyses, their parameter estimation, their sensitivity analyses, and their numerical analyses.