Skip Navigation Links
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Spatiotemporal Dynamics of Meta Population Models with Application in Law

Discontinuity, Nonlinearity, and Complexity 8(1) (2019) 23--36 | DOI:10.5890/DNC.2019.03.003

R. O. Walo$^{1}$, A. M. Ndondo$^{2}$, S. Mushi Bonane $^{3}$

$^{1}$ Faculty of Sciences, Department of Mathematical and Computer Science, University of Kinshasa, DRC

$^{2}$ Faculty of Sciences, Department of Mathematical and Computer Science, University of Lubumbashi, DRC

$^{3}$ Faculty of Law, Department of Criminal- Law and Criminology, University of Kinshasa, DRC

Download Full Text PDF



The paper deals with a spatiotemporal dynamics study of criminality city-by-city in attempt to model mechanisms which give rise to synchronisation outbreak of crimes in different cities and villages. The study gives sharp relations between social and penal pressions.


The authors thank two anonymous reviewers for helpful comments.


  1. [1]  Adrani, E.F. and Alaoui, H.T. (2010), Travelling front solutions in nonlinear diffusion degenerate Fisher-KPP and Nagrimo-Equations via Conley index, TMNA 35.
  2. [2]  Arino, J. (2009), Diseases in Metapopulations in Modelling and dynamics of infection diseases, Ma, Zou and Wu editors, Vol 11 Contemporary series in Appl. Math.World Scientific, Singapore.
  3. [3]  Arino, J. and van den Drieche P. (2003), A multi-epidemic model, A multi epidemic model. Math. Pop.Stud., 10, 175-193.
  4. [4]  Lloyd, A.L.J. and Jansen, V.A. (2004), Spatiotemporal dynamics of epidemics: synchrony in metapopulation models, Math-Biosciences 183, 1-16.
  5. [5]  Murray, J.D. (2003), Mathematical Biology: Spatial Models and Biomedical application, 3rd Edition, Springer.
  6. [6]  Barbeau, E.J. (1989), Polynomials, Springer-Verlag.
  7. [7]  Birkhoof, G. and MacLane, S. (1994), Modern Algebra. Springer-Verlag.
  8. [8]  Budinova, I. (2013), Polynomials, Text for students of Mathematics teaching,Masaryk University;
  9. [9]  Seydel, R. (1994), Practical bifurcation and stability analysis: From equilibrium to Chaos, 2rd Edition, Springer- Verlag.
  10. [10]  Smoller, J. (1994), Shock waves and reaction-diffusion equations, 2rd Edition, Springer-Verlag.
  11. [11]  Stephens, T. and Wanner, T. (2014), Rigourous Validation of isolating blocks for flows and Their Conley index I.M.A Publication.
  12. [12]  Conley, C. (1978), Isolated invariant sets and Morse index, CBMS lecture notes, 38, AMS, Providence, R.I.
  13. [13]  Mischaikow, K. (1998), The Conley index theory: A brief introduction, Banach Center Publication,Warszawa.