Analysis and Applications of Delay Differential Equations in Biology and Medicine

2017/01/16 by Majid Bani-Yaghoub, Bani-Yaghoub, Majid · 2 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · #37G15 #37N25 #Dynamical Systems (math.DS) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.1701.04173

openalex publication_date 2017/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main purpose of this paper is to provide a summary of the fundamental methods for analyzing delay differential equations arising in biology and medicine. These methods are employed to illustrate the effects of time delay on the behavior of solutions, which include destabilization of steady states, periodic and oscillatory solutions, bifurcations, and stability switches. The biological interpretations of delay effects are briefly discussed.

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