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Border Collision Bifurcations in a Generalized Model of Population Dynamics
Joint Authors
Mammana, Cristiana
Valverde, Jose C.
Ladino, Lilia M.
Michetti, Elisabetta
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We analyze the dynamics of a generalized discrete time population model of a two-stage species with recruitment and capture.
This generalization, which is inspired by other approaches and real data that one can find in literature, consists in considering no restriction for the value of the two key parameters appearing in the model, that is, the natural death rate and the mortality rate due to fishing activity.
In the more general case the feasibility of the system has been preserved by posing opportune formulas for the piecewise map defining the model.
The resulting two-dimensional nonlinear map is not smooth, though continuous, as its definition changes as any border is crossed in the phase plane.
Hence, techniques from the mathematical theory of piecewise smooth dynamical systems must be applied to show that, due to the existence of borders, abrupt changes in the dynamic behavior of population sizes and multistability emerge.
The main novelty of the present contribution with respect to the previous ones is that, while using real data, richer dynamics are produced, such as fluctuations and multistability.
Such new evidences are of great interest in biology since new strategies to preserve the survival of the species can be suggested.
American Psychological Association (APA)
Ladino, Lilia M.& Mammana, Cristiana& Michetti, Elisabetta& Valverde, Jose C.. 2016. Border Collision Bifurcations in a Generalized Model of Population Dynamics. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1103643
Modern Language Association (MLA)
Ladino, Lilia M.…[et al.]. Border Collision Bifurcations in a Generalized Model of Population Dynamics. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1103643
American Medical Association (AMA)
Ladino, Lilia M.& Mammana, Cristiana& Michetti, Elisabetta& Valverde, Jose C.. Border Collision Bifurcations in a Generalized Model of Population Dynamics. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1103643
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103643