Social physics

M Jusup, P Holme, K Kanazawa, M Takayasu, I Romić… - Physics Reports, 2022 - Elsevier
Recent decades have seen a rise in the use of physics methods to study different societal
phenomena. This development has been due to physicists venturing outside of their …

Statistical physics of crime: A review

MR D'Orsogna, M Perc - Physics of life reviews, 2015 - Elsevier
Containing the spread of crime in urban societies remains a major challenge. Empirical
evidence suggests that, if left unchecked, crimes may be recurrent and proliferate. On the …

Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics

GA Marsan, N Bellomo, L Gibelli - Mathematical Models and …, 2016 - World Scientific
This paper proposes a systems approach to social sciences based on a mathematical
framework derived from a generalization of the mathematical kinetic theory and of theoretical …

On the dynamics of social conflicts: looking for the black swan

N Bellomo, MA Herrero, A Tosin - arXiv preprint arXiv:1202.4554, 2012 - arxiv.org
This paper deals with the modeling of social competition, possibly resulting in the onset of
extreme conflicts. More precisely, we discuss models describing the interplay between …

Mathematical modeling of the population dynamics of age-structured criminal gangs with correctional intervention measures

OM Ibrahim, D Okuonghae, MNO Ikhile - Applied Mathematical Modelling, 2022 - Elsevier
The prevalence of criminal gang activities in the society has continued to be a huge burden
to mankind. Despite several attempts by the government and non-governmental …

Criminals and their models-a review of epidemiological models describing criminal behaviour

J Sooknanan, TAR Seemungal - Applied Mathematics and Computation, 2023 - Elsevier
Mathematical models are increasingly being adapted to model criminal behaviour and may
be used to support traditional crime prevention methods. This review focuses on recent …

On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime

N Rodriguez, M Winkler - European Journal of Applied Mathematics, 2022 - cambridge.org
We consider the no-flux initial-boundary value problem for the cross-diffusive evolution
system:\begin {eqnarray*}\left\{\begin {array}{ll} u_t= u_ {xx}-\chi\big (\frac {u}{v}\partial_x …

From a systems theory of sociology to modeling the onset and evolution of criminality

N Bellomo, F Colasuonno, D Knopoff… - arXiv preprint arXiv …, 2014 - arxiv.org
This paper proposes a systems theory approach to the modeling of onset and evolution of
criminality in a territory, which aims at capturing the complexity features of social systems …

Optimal control model for criminal gang population in a limited-resource setting

OM Ibrahim, D Okuonghae, MNO Ikhile - International journal of dynamics …, 2023 - Springer
In this present paper, the principles of optimal control theory is applied to a non-linear
mathematical model for the population dynamics of criminal gangs with variability in the sub …

[图书][B] Complex systems and society: modeling and simulation

N Bellomo, GA Marsan, A Tosin - 2013 - Springer
Socio-economic sciences are undergoing a great conceptual change. Little by little
economists and sociologists have started to understand the need to introduce new and more …