-
Previous Article
Optimal Hölder regularity for nonautonomous Kolmogorov equations
- DCDS-S Home
- This Issue
-
Next Article
The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity
A mathematical model of a criminal-prone society
1. | Departamento de Matemática Aplicada a los Recursos Naturales, E.T.S.I. Montes. Universidad Politécnica de Madrid, 28040 Madrid, Spain |
2. | IMI and Departamento de Matemática Aplicada. Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain |
3. | Dipartimento di Matematica, università degli Studi di Firenze, 55015 Firenze, Italy |
References:
[1] |
R. A. Araujo and T. B. S. Moreira, A dynamic model of production and traffic of drugs,, Economic Letters, 82 (2004), 371.
doi: doi:10.1016/j.econlet.2003.09.015. |
[2] |
A. A. Berryman, The origins and evolution of predator-prey theory,, Ecology, 73 (1992), 1530.
doi: doi:10.2307/1940005. |
[3] |
M. Campbell and P. Ormerod, Social interactions and the dynamics of crime,, , (). |
[4] |
E. Durkheim, "Le Crime PhÉnomène Normal. Les Regles de la Méthode Sociologique,", Paris 14 ed. 1960, (1960), 65. |
[5] |
J. Eck, Police problems: The complexity of problem theory, research and evaluation,, in, 15 (2003). |
[6] |
M. Felson, "Crime and Nature,", Sage Publications Inc., (2006). |
[7] |
L. E. Cohen and M. Felson, Social change and crime rate trends: A routine activity approach,, American Sociological Review, 44 (1979), 588.
doi: doi:10.2307/2094589. |
[8] |
C. Lewis (ed.), "Modelling Crime and Offending: Recent Developments in England and Wales,", Occasional paper no. 80, (2003). |
[9] |
S. Kanazawa and M. C. Still, Why men commit crimes (and why they desist),, Sociological Theory, 18 (2000), 434.
doi: doi:10.1111/0735-2751.00110. |
[10] |
J. C. Nuño, M. A. Herrero and M. Primicerio, A triangle model of criminality,, Physica A, 387 (2008), 2926. |
[11] |
K. Pease, Science in the service of crime reduction,, in, (2005). |
[12] |
L. J. Peter and R. Hull, "The Peter Principle. Why Things Always Go Wrong,", William Morrow & Co, (1969). |
[13] |
A. Quetelet, "Sur L'homme et le Developpement de ses Facultes, ou Essai de Physique Sociale,", Bachelier, (1835). |
[14] |
L. Real, The kinetics of functional response,, American Naturalist, 111 (1977), 289.
doi: doi:10.1086/283161. |
[15] |
S. Pierazzini, Effect of crimes on a socially structured population,, preprint, (). |
[16] |
J. E. Strassmann, Rank crime and punishment,, Nature, 432 (2004), 160.
doi: doi:10.1038/432160b. |
[17] |
L. G. Vargo, A note on crime control,, Bull. Math. Biophys., 28 (1966), 375.
doi: doi:10.1007/BF02476819. |
[18] |
H. Zhao, F. Zhilan and C. Castillo-Chavez, The dynamics of poverty and crime,, MTBI-02-08M, (2002), 02. |
show all references
References:
[1] |
R. A. Araujo and T. B. S. Moreira, A dynamic model of production and traffic of drugs,, Economic Letters, 82 (2004), 371.
doi: doi:10.1016/j.econlet.2003.09.015. |
[2] |
A. A. Berryman, The origins and evolution of predator-prey theory,, Ecology, 73 (1992), 1530.
doi: doi:10.2307/1940005. |
[3] |
M. Campbell and P. Ormerod, Social interactions and the dynamics of crime,, , (). |
[4] |
E. Durkheim, "Le Crime PhÉnomène Normal. Les Regles de la Méthode Sociologique,", Paris 14 ed. 1960, (1960), 65. |
[5] |
J. Eck, Police problems: The complexity of problem theory, research and evaluation,, in, 15 (2003). |
[6] |
M. Felson, "Crime and Nature,", Sage Publications Inc., (2006). |
[7] |
L. E. Cohen and M. Felson, Social change and crime rate trends: A routine activity approach,, American Sociological Review, 44 (1979), 588.
doi: doi:10.2307/2094589. |
[8] |
C. Lewis (ed.), "Modelling Crime and Offending: Recent Developments in England and Wales,", Occasional paper no. 80, (2003). |
[9] |
S. Kanazawa and M. C. Still, Why men commit crimes (and why they desist),, Sociological Theory, 18 (2000), 434.
doi: doi:10.1111/0735-2751.00110. |
[10] |
J. C. Nuño, M. A. Herrero and M. Primicerio, A triangle model of criminality,, Physica A, 387 (2008), 2926. |
[11] |
K. Pease, Science in the service of crime reduction,, in, (2005). |
[12] |
L. J. Peter and R. Hull, "The Peter Principle. Why Things Always Go Wrong,", William Morrow & Co, (1969). |
[13] |
A. Quetelet, "Sur L'homme et le Developpement de ses Facultes, ou Essai de Physique Sociale,", Bachelier, (1835). |
[14] |
L. Real, The kinetics of functional response,, American Naturalist, 111 (1977), 289.
doi: doi:10.1086/283161. |
[15] |
S. Pierazzini, Effect of crimes on a socially structured population,, preprint, (). |
[16] |
J. E. Strassmann, Rank crime and punishment,, Nature, 432 (2004), 160.
doi: doi:10.1038/432160b. |
[17] |
L. G. Vargo, A note on crime control,, Bull. Math. Biophys., 28 (1966), 375.
doi: doi:10.1007/BF02476819. |
[18] |
H. Zhao, F. Zhilan and C. Castillo-Chavez, The dynamics of poverty and crime,, MTBI-02-08M, (2002), 02. |
[1] |
Xiang-Ping Yan, Wan-Tong Li. Stability and Hopf bifurcations for a delayed diffusion system in population dynamics. Discrete & Continuous Dynamical Systems - B, 2012, 17 (1) : 367-399. doi: 10.3934/dcdsb.2012.17.367 |
[2] |
Suqi Ma, Qishao Lu, Shuli Mei. Dynamics of a logistic population model with maturation delay and nonlinear birth rate. Discrete & Continuous Dynamical Systems - B, 2005, 5 (3) : 735-752. doi: 10.3934/dcdsb.2005.5.735 |
[3] |
Z.-R. He, M.-S. Wang, Z.-E. Ma. Optimal birth control problems for nonlinear age-structured population dynamics. Discrete & Continuous Dynamical Systems - B, 2004, 4 (3) : 589-594. doi: 10.3934/dcdsb.2004.4.589 |
[4] |
Naveen K. Vaidya, Feng-Bin Wang, Xingfu Zou. Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment. Discrete & Continuous Dynamical Systems - B, 2012, 17 (8) : 2829-2848. doi: 10.3934/dcdsb.2012.17.2829 |
[5] |
Nicola Bellomo, Miguel A. Herrero, Andrea Tosin. On the dynamics of social conflicts: Looking for the black swan. Kinetic & Related Models, 2013, 6 (3) : 459-479. doi: 10.3934/krm.2013.6.459 |
[6] |
Robin Cohen, Alan Tsang, Krishna Vaidyanathan, Haotian Zhang. Analyzing opinion dynamics in online social networks. Big Data & Information Analytics, 2016, 1 (4) : 279-298. doi: 10.3934/bdia.2016011 |
[7] |
Pierre Degond, Gadi Fibich, Benedetto Piccoli, Eitan Tadmor. Special issue on modeling and control in social dynamics. Networks & Heterogeneous Media, 2015, 10 (3) : i-ii. doi: 10.3934/nhm.2015.10.3i |
[8] |
Xiaoyue Li, Xuerong Mao. Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation. Discrete & Continuous Dynamical Systems - A, 2009, 24 (2) : 523-545. doi: 10.3934/dcds.2009.24.523 |
[9] |
Rumi Ghosh, Kristina Lerman. Rethinking centrality: The role of dynamical processes in social network analysis. Discrete & Continuous Dynamical Systems - B, 2014, 19 (5) : 1355-1372. doi: 10.3934/dcdsb.2014.19.1355 |
[10] |
Salvatore Rionero. A nonlinear $L^2$-stability analysis for two-species population dynamics with dispersal. Mathematical Biosciences & Engineering, 2006, 3 (1) : 189-204. doi: 10.3934/mbe.2006.3.189 |
[11] |
Alessandro Corbetta, Adrian Muntean, Kiamars Vafayi. Parameter estimation of social forces in pedestrian dynamics models via a probabilistic method. Mathematical Biosciences & Engineering, 2015, 12 (2) : 337-356. doi: 10.3934/mbe.2015.12.337 |
[12] |
Clinton Innes, Razvan C. Fetecau, Ralf W. Wittenberg. Modelling heterogeneity and an open-mindedness social norm in opinion dynamics. Networks & Heterogeneous Media, 2017, 12 (1) : 59-92. doi: 10.3934/nhm.2017003 |
[13] |
Zhipeng Qiu, Huaiping Zhu. Complex dynamics of a nutrient-plankton system with nonlinear phytoplankton mortality and allelopathy. Discrete & Continuous Dynamical Systems - B, 2016, 21 (8) : 2703-2728. doi: 10.3934/dcdsb.2016069 |
[14] |
Wei Feng, Xin Lu, Richard John Donovan Jr.. Population dynamics in a model for territory acquisition. Conference Publications, 2001, 2001 (Special) : 156-165. doi: 10.3934/proc.2001.2001.156 |
[15] |
Lei Wang, Jinlong Yuan, Yingfang Li, Enmin Feng, Zhilong Xiu. Parameter identification of nonlinear delayed dynamical system in microbial fermentation based on biological robustness. Numerical Algebra, Control & Optimization, 2014, 4 (2) : 103-113. doi: 10.3934/naco.2014.4.103 |
[16] |
Jibin Li, Yi Zhang. On the traveling wave solutions for a nonlinear diffusion-convection equation: Dynamical system approach. Discrete & Continuous Dynamical Systems - B, 2010, 14 (3) : 1119-1138. doi: 10.3934/dcdsb.2010.14.1119 |
[17] |
Leong-Kwan Li, Sally Shao, K. F. Cedric Yiu. Nonlinear dynamical system modeling via recurrent neural networks and a weighted state space search algorithm. Journal of Industrial & Management Optimization, 2011, 7 (2) : 385-400. doi: 10.3934/jimo.2011.7.385 |
[18] |
Chongyang Liu, Zhaohua Gong, Enmin Feng, Hongchao Yin. Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture. Journal of Industrial & Management Optimization, 2009, 5 (4) : 835-850. doi: 10.3934/jimo.2009.5.835 |
[19] |
Yuting Ding, Jinli Xu, Jun Cao, Dongyan Zhang. Mathematical modeling about nonlinear delayed hydraulic cylinder system and its analysis on dynamical behaviors. Discrete & Continuous Dynamical Systems - S, 2017, 10 (5) : 943-958. doi: 10.3934/dcdss.2017049 |
[20] |
P.K. Newton. The dipole dynamical system. Conference Publications, 2005, 2005 (Special) : 692-699. doi: 10.3934/proc.2005.2005.692 |
2016 Impact Factor: 0.781
Tools
Metrics
Other articles
by authors
[Back to Top]