Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding
In this paper, a system of deterministic model is presented for the dynamical analysis of the interactional consequence of criminals and criminality on victimisation under two distinguishable forms of rehabilitation—the behavioural reformation of criminals and the emotional psychotherapy of victims....
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/9891503 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564086439673856 |
|---|---|
| author | Chikodili Helen Ugwuishiwu D. S. Sarki G. C. E. Mbah |
| author_facet | Chikodili Helen Ugwuishiwu D. S. Sarki G. C. E. Mbah |
| author_sort | Chikodili Helen Ugwuishiwu |
| collection | DOAJ |
| description | In this paper, a system of deterministic model is presented for the dynamical analysis of the interactional consequence of criminals and criminality on victimisation under two distinguishable forms of rehabilitation—the behavioural reformation of criminals and the emotional psychotherapy of victims. A threshold value, R0=maxRK,RV, responsible for the persistence of crime/criminality and victimisation, is obtained and, using it, stability analyses on the model performed. The impact of an effective implementation of the two forms of rehabilitation was found to be substantial on crime and criminality, while an ineffective implementation of same was observed to have a detrimental consequence. The prevention of repeat victimisation was seen to present a more viable option for containing crime than the noncriminalisation of victims. Further, the removal of criminals, either through quitting or death, among others, was also found to have a huge positive impact. Numerical simulations were performed for a variety of mixing criminal scenarios to verify the analytical results obtained. |
| format | Article |
| id | doaj-art-c7f7ea4049a7404c845c683e7bc95799 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c7f7ea4049a7404c845c683e7bc957992025-02-03T01:11:54ZengWileyJournal of Applied Mathematics1110-757X1687-00422019-01-01201910.1155/2019/98915039891503Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and ForwardingChikodili Helen Ugwuishiwu0D. S. Sarki1G. C. E. Mbah2Department of Computer Sciences, University of Nigeria, Nsukka, NigeriaDepartment of Mathematics, Federal College of Education, Pankshin, NigeriaDepartment of Mathematics, University of Nigeria, Nsukka, NigeriaIn this paper, a system of deterministic model is presented for the dynamical analysis of the interactional consequence of criminals and criminality on victimisation under two distinguishable forms of rehabilitation—the behavioural reformation of criminals and the emotional psychotherapy of victims. A threshold value, R0=maxRK,RV, responsible for the persistence of crime/criminality and victimisation, is obtained and, using it, stability analyses on the model performed. The impact of an effective implementation of the two forms of rehabilitation was found to be substantial on crime and criminality, while an ineffective implementation of same was observed to have a detrimental consequence. The prevention of repeat victimisation was seen to present a more viable option for containing crime than the noncriminalisation of victims. Further, the removal of criminals, either through quitting or death, among others, was also found to have a huge positive impact. Numerical simulations were performed for a variety of mixing criminal scenarios to verify the analytical results obtained.http://dx.doi.org/10.1155/2019/9891503 |
| spellingShingle | Chikodili Helen Ugwuishiwu D. S. Sarki G. C. E. Mbah Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding Journal of Applied Mathematics |
| title | Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding |
| title_full | Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding |
| title_fullStr | Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding |
| title_full_unstemmed | Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding |
| title_short | Nonlinear Analysis of the Dynamics of Criminality and Victimisation: A Mathematical Model with Case Generation and Forwarding |
| title_sort | nonlinear analysis of the dynamics of criminality and victimisation a mathematical model with case generation and forwarding |
| url | http://dx.doi.org/10.1155/2019/9891503 |
| work_keys_str_mv | AT chikodilihelenugwuishiwu nonlinearanalysisofthedynamicsofcriminalityandvictimisationamathematicalmodelwithcasegenerationandforwarding AT dssarki nonlinearanalysisofthedynamicsofcriminalityandvictimisationamathematicalmodelwithcasegenerationandforwarding AT gcembah nonlinearanalysisofthedynamicsofcriminalityandvictimisationamathematicalmodelwithcasegenerationandforwarding |