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

Modelling and numerical simulations with differential equations in mathematical biology, medicine and the environment

Appanah Rao Appadu, Ramoshweu Solomon Lebelo, Hagos Hailu Gidey, Bilge Inan

Frontiers Media SA

Science Applied Mathematics and Statistics Mathematical Biology

Keywords: differential equations,­mathematical biology,­Numerical methods