Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Dynamical analysis of a model of social behavior: Criminal vs non-criminal population Subject The topic of the resource Criminal-minded population; Logistic growth; Prey predator model; Stability analysis Description An account of the resource In this paper, we construct a model motivated by the well known predator-prey model to study the interaction between criminal population and non-criminal population. Our aim is to study various possibilities of interactions between them. First we model it using simple predator-prey model, then we modify it by considering the logistic growth of non-criminal population. We clearly deduce that the model with logistic growth is better than classical one. More precisely, the role of carrying capacity on the dynamics of criminal minded population is discussed. Further, we incorporate law enforcement term in the model and study its effect. The result obtained suggest that by incorporating enforcement law, the criminal population reduces from the very beginning, which resembles with real life situation. Our result indicates that the criminal minded population exist as long as coefficient of enforcement lc does not cross a threshold value and after this value the criminal minded population extinct. In addition, we also discuss the occurrence of saddle-node bifurcation in case of model system with law enforcement. Numerical examples and simulations are presented to illustrate the obtained results. 2017 Elsevier Ltd Creator An entity primarily responsible for making the resource Abbas S.; Tripathi J.P.; Neha A.A. Source A related resource from which the described resource is derived Chaos, Solitons and Fractals, Vol-98, pp. 121-129. Publisher An entity responsible for making the resource available Elsevier Ltd Date A point or period of time associated with an event in the lifecycle of the resource 2017-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1016/j.chaos.2017.03.027" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.chaos.2017.03.027</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85015380962&amp;doi=10.1016%2Fj.chaos.2017.03.027&amp;partnerID=40&amp;md5=445380b8dedb83ae670008247aa867fb" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85015380962&amp;doi=10.1016%2fj.chaos.2017.03.027&amp;partnerID=40&amp;md5=445380b8dedb83ae670008247aa867fb</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 9600779; CODEN: CSFOE Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Abbas S., School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, 175001, H.P., India; Tripathi J.P., Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindri, Kishangarh, Distt., Ajmer, 305801, Rajasthan, India; Neha A.A., Department of Mathematics, Christ University, Bengaluru, 560029, Karnataka, India