Research Topic · Peer-Reviewed

Differential Equations

Differential equations are mathematical equations that relate a function to its derivatives, describing how a quantity changes with respect to another variable such as time or space, and they form a foundational tool for modeling dynamic systems across science and engineering. They are used to represent processes th…

Curated from this journal's research 📚 12 peer-reviewed articles cited Cited 35× across the literature 🔖 ISSN 2643-2811 🗓 Reviewed July 2026

Overview

Differential equations are mathematical equations that relate a function to its derivatives, describing how a quantity changes with respect to another variable such as time or space, and they form a foundational tool for modeling dynamic systems across science and engineering. They are used to represent processes that evolve continuously—motion, growth, decay, diffusion, and interaction—and appear throughout physics, biology, chemistry, economics, and epidemiology. Important aspects of the topic include ordinary and partial differential equations, linear and nonlinear systems, analytical versus numerical solution methods, and the formulation of compartmental and population models. In applied research, differential equations underpin epidemiological models such as SEIR-type frameworks for infectious-disease spread, population-dynamics models, and descriptions of biological and physical mechanisms. The journal publishes work that applies these methods, including an analytical solution of the intracellular life cycle of SARS-CoV-2, general and modified compartmental models of COVID-19 transmission across different countries, mathematical modeling of disease dynamics, genetic and population-interaction models framed as problems in nonlinear genetics, and biomathematical approaches to neuronal and memory processes. This body of work illustrates how differential equations translate real-world dynamics into tractable mathematical models that can be analyzed, simulated, and used for prediction.

Research published in this journal

12 peer-reviewed articles, ranked by relevance. Each links to its DOI.

2021

Characterizing the Dynamics of Covid-19 Based on Data

Isea RaúlCorresponding author
Fundación Instituto de Estudios Avanzados, Hoyo de la Puerta, Baruta, Venezuela.
Exact topic Current Viruses and Treatment Methodologies Cited by 3 doi:10.14302/issn.2691-8862.jvat-21-3991
2021

Mathematical Modeling of Covid-19

Zhao BinCorresponding author
School of Science, Hubei University of Technology, Wuhan, Hubei, China.
Exact topic Current Scientific Research Cited by 9 doi:10.14302/issn.2766-8681.jcsr-21-3701

How this research is being cited

The 12 articles above have been cited 35 times in the scholarly literature. Citation data via OpenAlex and Crossref, updated Jun 2026.

A sample of recent works citing this journal's research on Differential Equations, linking to each citing work.

Editorial oversight

Curated from peer-reviewed research published in Model Based Research (ISSN 2643-2811).

Journal editorial board
Yoshiaki Kikuchi · Japan Yung-Yao Chen · Taiwan Yang Chen · United States

This page summarises published research for orientation; it is not medical or professional advice.