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Discrete time population dynamics of a two-stage species with recruitment and capture

Author

Listed:
  • Ladino, Lilia M.
  • Mammana, Cristiana
  • Michetti, Elisabetta
  • Valverde, Jose C.

Abstract

This work models and analyzes the dynamics of a two-stage species with recruitment and capture factors. It arises from the discretization of a previous model developed by Ladino and Valverde (2013), which represents a progress in the knowledge of the dynamics of exploited populations. Although the methods used here are related to the study of discrete-time systems and are different from those related to continuous version, the results are similar in both the discrete and the continuous case what confirm the skill in the selection of the factors to design the model. Unlike for the continuous-time case, for the discrete-time one some (non-negative) parametric constraints are derived from the biological significance of the model and become fundamental for the proofs of such results. Finally, numerical simulations show different scenarios of dynamics related to the analytical results which confirm the validity of the model.

Suggested Citation

  • Ladino, Lilia M. & Mammana, Cristiana & Michetti, Elisabetta & Valverde, Jose C., 2016. "Discrete time population dynamics of a two-stage species with recruitment and capture," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 143-150.
    • Handle: RePEc:eee:chsofr:v:85:y:2016:i:c:p:143-150
    DOI: 10.1016/j.chaos.2016.01.032
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    References listed on IDEAS

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    1. Frésard, Marjolaine & Ropars-Collet, Carole, 2014. "Sustainable harvest of a native species and control of an invasive species: A bioeconomic model of a commercial fishery invaded by a space competitor," Ecological Economics, Elsevier, vol. 106(C), pages 1-11.
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