Modeling in Ecology and Epidemiology

Md. Shahidul Islam, Md. Kamrujjaman, Uttam Ghosh

Frontiers Media SA

Nature is filled with biotic organisms (bacteria, insects, plants, animals, etc.) and B-biotic...

Science Applied Mathematics and Statistics Mathematical Biology

Keywords: Ecological system,­Eco-epidemic model,­infectious diseases,­pathogens,­vector-borne diseases,­bifurcation analysis

Mathematical modeling and optimization for real life phenomena

Cristiana J. Silva, Guillermo Huerta Cuellar, Monique Chyba

Frontiers Media SA

Mathematical modeling of real life phenomena is a powerful tool in analyzing and describing their...

Science Applied Mathematics and Statistics Dynamical Systems

Keywords: optimal control,­Complex Network,­multistability,­Chaotical behavior,­nonlinearity,­Piecewise linear systems,­Phenomenological behavior,­Multi-agents systems,­Agent based model

Justified Modeling Frameworks and Novel Interpretations of Ecological and Epidemiological Systems

Bapan Ghosh, Salih Djilali, Asep K. Supriatna

Frontiers Media SA

The Lotka-Volterra and the Kermack-McKendrick models are well celebrated and widely recognized in...

Science Applied Mathematics and Statistics Mathematical Biology

Keywords: dynamical systems,­Population Biology,­Stability and bifurcations,­Biological conservation,­Disease control

New Numerical and Analytical Methods for Nonlinear Partial Differential Equations with Applications in Quantum Physics

Mustafa Inc, Xiao-Jun Yang, Devendra Kumar

Frontiers Media SA

Various numerical and analytical methods have been used to investigate the models of real-world...

Engineering

Keywords: mathematical methods,­Lie Groups,­Quantum Fields,­Advanced numerical methods,­differential equations,­Schrödinger classical,­Fractional operators,­conservation laws

Moving Boundary Problems in Multi-physics Coupling Processes

Leilei Chen, Pei Li, Elena Atroshchenko

Frontiers Media SA

Science Physics Statistical and Computational Physics

Keywords: moving boundary,­multi-physics,­coupling,­modelling,­Numerical Analysis

Advances in data-driven approaches and modeling of complex systems

Mohd Hafiz Mohd, Joel M. Addawe, Hirohide Haga, Junpyo Park, Tri Nguyen-Huu

Frontiers Media SA

This Research Topic discusses the latest developments in complex systems research and intends to...

Science Applied Mathematics and Statistics Mathematics of Computation and Data Science

Keywords: complex systems,­Modeling and Simulation,­Mathematical Biology and Ecology,­Interdisciplinary Applications of Mathematics,­agent-based modelling,­machine learning,­Computational science and engineering,­data science

Modeling of COVID-19 and Other Infectious Diseases: Mathematical, Statistical and Biophysical Analysis of Spread Patterns

Omar El Deeb, Gopi Battineni, Samer A. Kharroubi, Khalid Hattaf

Frontiers Media SA

Science Applied Mathematics and Statistics Dynamical Systems

Keywords: COVID-19,­Epidemiology,­mathematical modelling,­Vaccines,­spread dynamics,­infectious diseases

Machine Learning in Natural Complex Systems

Andre Gruning, Thomas Hartung, Axel Hutt, Raina Robeva, Alex Hansen

Frontiers Media SA

Science Neuroscience

Keywords: Model improvement,­learning rules,­deep learning,­data assimilation,­big data

2022 Applied Mathematics and Statistics – Editor’s Pick

Charles K. Chui, Eric Chung, Jianfeng Cai, Raluca Eftimie, Hong-Kun Xu, Daniel Potts, Young Shin Aaron Kim, Axel Hutt

Frontiers Media SA

Science Applied Mathematics and Statistics Dynamical Systems

Keywords: statistics,­mathematical biology,­dynamical systems,­optimization