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COVID-19 and impact on peer review

As a result of the significant disruption that is being caused by the COVID-19 pandemic we are very aware that many researchers will have difficulty in meeting the timelines associated with our peer review process during normal times.  Please do let us know if you need additional time. Our systems will continue to remind you of the original timelines but we intend to be highly flexible at this time.

Call for Papers: Mathematical Models of Infectious Diseases

To combat the invisible enemies of infectious diseases, human rely on observation of their behaviours in laboratories, analysis, and prediction. To perform the analysis and prediction, observed facts are converted into models using mathematical tools, including, differentiation, integration and statistical approaches.  These models are analysed and solved analytically or numerically for prediction using some obtained parameters and initial conditions. This present special issue is devoted to a collection of latest results from theoretical to application on research based on latest infectious diseases.

Featured article: ‘Finite-time control of plasma glucose in insulin therapies for diabetes'

To study the finite-time control of plasma glucose for diabetic patients with impulsive injections of insulin, Lui Huang, Song, and Shi propose an impulsive differential equation model with initial and boundary conditions. The goal of glucose control is supposed to be achieved if the system has a solution, otherwise the goal cannot be achieved. By constructing two comparison systems and using a comparison principle, several conditions under which the system has a solution are obtained... 


Articles Collections

Thematic series
Recent Progress in Differential and Difference Equations (2014)
Advances in Difference Equations
Edited by: Dr Dorota Mozyrska, Prof Yuriy Rogovchenko, Prof Ewa Schmeidel, Prof Miroslava Ruzickova, Prof. Josef Diblik, Dr Ewa Girejko
Collection published: 18 June 2015

View all collections

Aims and scope

The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions.

The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between.

The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations.

Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.

Open Thematic Series

Submissions to thematic series on this journal are entitled to a 25% discount on the article processing charges unless otherwise stated. To receive this discount, authors should mention the thematic series within the "waiver request" box on the 'Payment' screen during submission of their manuscript.

Mathematical Models of Infectious Diseases
Deadline for submission: 31 December 2020

Annual Journal Metrics


​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications