Delay differential equations and their applications: analysis and numerical investigation of oscillatory behaviours

Abstract

Delay differential equations have been a case of curiosity to researchers for many decades. They rely on previous data and enable real-time adjustments to improve and correct systems. This thesis studies delay differential equations, analyses their behaviour, and applies them to biological population dynamics. The effect of time delay on the stability and instability of solutions is also studied, and to simulate the differential delay equations numerically, we use MATLAB.