On the interaction between soft and hard sciences: the role of mathematical sciences. Looking ahead to research perspectives
From MaRDI portal
Publication:2022467
DOI10.1007/s10013-019-00381-3zbMath1464.35354OpenAlexW3000237051MaRDI QIDQ2022467
B. Aylaj, N. Chouhad, Nicola Bellomo, Damián Knopoff
Publication date: 29 April 2021
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-019-00381-3
Nonlinear parabolic equations (35K55) Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Kinetic theory of gases in time-dependent statistical mechanics (82C40) General biology and biomathematics (92B05) Fokker-Planck equations (35Q84) Mathematical modeling or simulation for problems pertaining to biology (92-10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A nonlinear model of opinion formation on the sphere
- From a systems theory of sociology to modeling the onset and evolution of criminality
- Opinion dynamics under the influence of radical groups, charismatic leaders, and other constant signals: a simple unifying model
- On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics
- From kinetic models of multicellular growing systems to macroscopic biological tissue models
- Escaping the trap of `blocking': a kinetic model linking economic development and political competition
- Kinetic models of opinion formation
- Modeling opinion dynamics: how the network enhances consensus
- On multiscale models of Pedestrian crowds from mesoscopic to macroscopic
- On the role of mathematics in biology
- Mean field games
- On the dynamics of social conflicts: looking for the black swan
- Kinetic models for goods exchange in a multi-agent market
- Games on graphs
- A contribution to the mathematical modeling of immune-cancer competition
- On the interplay between behavioral dynamics and social interactions in human crowds
- Contagion shocks in one dimension
- A quest towards a mathematical theory of living systems
- Active particles, Volume 1. Advances in theory, models, and applications
- Methods of small parameter in mathematical biology
- Modeling complex living systems. A kinetic theory and stochastic game approach.
- Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics
- From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid
- ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES
- ON A MATHEMATICAL THEORY OF COMPLEX SYSTEMS ON NETWORKS WITH APPLICATION TO OPINION FORMATION
- ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES
- ON THE MATHEMATICAL THEORY OF THE DYNAMICS OF SWARMS VIEWED AS COMPLEX SYSTEMS
- On the mathematical theory of post-Darwinian mutations, selection, and evolution
- Partial differential equation models in the socio-economic sciences
- Stochastic spatial model for the division of labor in social insects
- Fokker–Planck equations in the modeling of socio-economic phenomena
- Efficient numerical methods for multiscale crowd dynamics with emotional contagion
- A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
- Mean Field Games and Applications
- Modeling altruism and selfishness in welfare dynamics: The role of nonlinear interactions
- SOCIOPHYSICS: A REVIEW OF GALAM MODELS
- Quantitative Sociodynamics
- MODELLING EPIDEMICS AND VIRUS MUTATIONS BY METHODS OF THE MATHEMATICAL KINETIC THEORY FOR ACTIVE PARTICLES
- Evolutionary game dynamics
- Cross-diffusion and traveling waves in porous-media flux-saturated Keller–Segel models
- Higher-order models for glioma invasion: From a two-scale description to effective equations for mass density and momentum
- A strongly degenerate diffusion‐haptotaxis model of tumour invasion under the go‐or‐grow dichotomy hypothesis
- ON THE MODELING OF MIGRATION PHENOMENA ON SMALL NETWORKS
- FROM THE MODELING OF THE IMMUNE HALLMARKS OF CANCER TO A BLACK SWAN IN BIOLOGY
- Call center service times are lognormal: A Fokker–Planck description
- A multiscale view of nonlinear diffusion in biology: From cells to tissues
- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
- Evolutionary dynamics of cooperation in a population with probabilistic corrupt enforcers and violators
- Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Hilbert method toward a multiscale analysis from kinetic to macroscopic models for active particles
- On a structured multiscale model for acid-mediated tumor invasion: The effects of adhesion and proliferation
- A kinetic model for horizontal transfer and bacterial antibiotic resistance
- Kinetic models of chemotaxis towards the diffusive limit: asymptotic analysis
- The Calculus of Selfishness
