Fractional-order crime propagation model with non-linear transmission rate

[1]  Hari Mohan Pandey,et al.  Fractional derivative based weighted skip connections for satellite image road segmentation , 2023, Neural Networks.

[2]  A. Akgül,et al.  Comparative Study of the Fractional-Order Crime System as a Social Epidemic of the USA Scenario , 2022, International Journal of Applied and Computational Mathematics.

[3]  Marcelo J. Villena,et al.  On the Dynamics and Stability of the Crime and Punishment Game , 2022, Complex.

[4]  Sugandha,et al.  Applications of fractional calculus in computer vision: A survey , 2022, Neurocomputing.

[5]  Sugandha,et al.  Dynamics of Crime Transmission Using Fractional Order Differential Equations , 2021, Fractals.

[6]  Shivi Agarwal,et al.  Underlying dynamics of crime transmission with memory , 2021 .

[7]  Jai Prakash Tripathi,et al.  Dynamical analysis and effects of law enforcement in a social interaction model , 2021 .

[8]  T. Spapens,et al.  Intergenerational transmission and organised crime. A study of seven families in the south of the Netherlands , 2020, Trends in Organized Crime.

[9]  Delfim F. M. Torres,et al.  Lyapunov functions for fractional-order systems in biology: Methods and applications , 2020, Chaos, Solitons & Fractals.

[10]  A. Blumstein,et al.  Crime, Justice & the COVID-19 Pandemic: Toward a National Research Agenda , 2020, American journal of criminal justice : AJCJ.

[11]  Parvaiz Ahmad Naik,et al.  Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control , 2020, Chaos, Solitons & Fractals.

[12]  Mohammed Salah Abdelouahab,et al.  On some extended Routh–Hurwitz conditions for fractional-order autonomous systems of order α ∈ (0, 2) and their applications to some population dynamic models , 2020 .

[13]  R. A. Abdulkadir,et al.  Analysis of tuberculosis model with saturated incidence rate and optimal control , 2020 .

[14]  Christopher Wildeman.  The Intergenerational Transmission of Criminal Justice Contact , 2020, Annual Review of Criminology.

[15]  Akhil Kumar Srivastav,et al.  Modeling dynamics of the spread of crime in a society , 2019, Stochastic Analysis and Applications.

[16]  A. Blumstein.  Science and Technology and the President's Crime Commission , 2018 .

[17]  M. L. Howe,et al.  The fallibility of memory in judicial processes: Lessons from the past and their modern consequences , 2015, Memory.

[18]  J. Morenoff,et al.  Modeling the Underlying Dynamics of the Spread of Crime , 2014, PloS one.

[19]  H. V. Ribeiro,et al.  Scaling laws in the dynamics of crime growth rate , 2013, 1302.2476.

[20]  Kevin M. Beaver.  The Familial Concentration and Transmission of Crime , 2013 .

[21]  M. Bayram,et al.  Some properties of the Mittag-Leffler functions and their relation with the Wright functions , 2012 .

[22]  J. Shukla,et al.  Modeling the spread of an infectious disease with bacteria and carriers in the environment , 2011 .

[23]  Z. Zhonghua,et al.  Qualitative analysis of a SIR epidemic model with saturated treatment rate , 2010 .

[24]  Randi Hjalmarsson,et al.  Like Godfather, Like Son: Exploring the Intergenerational Nature of Crime , 2009 .

[25]  Rui Xu,et al.  Stability of a delayed SIRS epidemic model with a nonlinear incidence rate , 2009 .

[26]  Mini Ghosh,et al.  Stability and bifurcation of an SIR epidemic model with nonlinear incidence and treatment , 2009, Appl. Math. Comput..

[27]  Andrea L. Bertozzi,et al.  c ○ World Scientific Publishing Company A STATISTICAL MODEL OF CRIMINAL BEHAVIOR , 2008 .

[28]  Juan Carlos Nuño,et al.  A triangle model of criminality , 2008 .

[29]  Chunjin Wei,et al.  A Delayed Epidemic Model with Pulse Vaccination , 2008 .

[30]  Shigui Ruan,et al.  Global analysis of an epidemic model with nonmonotone incidence rate , 2006, Mathematical Biosciences.

[31]  Elsayed Ahmed,et al.  On some Routh–Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems , 2006 .

[32]  Christopher M. Rump,et al.  Stability of a crime level equilibrium , 2005 .

[33]  Carlos Castillo-Chavez,et al.  Dynamical models of tuberculosis and their applications. , 2004, Mathematical biosciences and engineering : MBE.

[34]  Mini Ghosh,et al.  Modelling the spread of carrier-dependent infectious diseases with environmental effect , 2004, Appl. Math. Comput..

[35]  Shigui Ruan,et al.  Dynamical behavior of an epidemic model with a nonlinear incidence rate , 2003 .

[36]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[37]  Herbert W. Hethcote,et al.  The Mathematics of Infectious Diseases , 2000, SIAM Rev..

[38]  Jeffrey T. Grogger,et al.  The Spatial Concentration of Crime , 1996 .

[39]  R. May,et al.  Regulation and Stability of Host-Parasite Population Interactions: I. Regulatory Processes , 1978 .

[40]  Donald L. DeAngelis,et al.  A Model for Tropic Interaction , 1975 .

[41]  J. Beddington,et al.  Mutual Interference Between Parasites or Predators and its Effect on Searching Efficiency , 1975 .

[42]  Richard Larson,et al.  Models of a Total Criminal Justice System , 1969, Oper. Res..

[43]  W. O. Kermack,et al.  A contribution to the mathematical theory of epidemics , 1927 .

[44]  S. Agarwal,et al.  Analysis of illegal drug transmission model using fractional delay differential equations , 2022, AIMS Mathematics.

[45]  Francesco Mainardi,et al.  ON SOME PROPERTIES OF THE MITTAG-LEFFLER FUNCTION E α ( − t α ) , COMPLETELY MONOTONE FOR t > 0 WITH 0 < α < 1 , 2014 .

[46]  Zhen Jin,et al.  Analysis of a Delayed SIR Model with Nonlinear Incidence Rate , 2008 .

[47]  A. Blumstein.  Youth, guns, and violent crime. , 2002, The Future of children.

[48]  Carlos Castillo-Chavez,et al.  Basic Ideas of Mathematical Epidemiology , 2001 .

[49]  K. Diethelm,et al.  The Fracpece Subroutine for the Numerical Solution of Differential Equations of Fractional Order , 2002 .