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Predator–prey fuzzy model

Author

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  • da Silva Peixoto, Magda
  • de Barros, Laécio Carvalho
  • Bassanezi, Rodney Carlos

Abstract

In this work we have used fuzzy rule-based systems to elaborate a predator–prey type of model to study the interaction between aphids (preys) and ladybugs (predators) in citriculture, where the aphids are considered as transmitter agents of the Citrus Sudden Death (CSD). Simulations were performed and a graph was drawn to show the prey population, the potentiality of the predators, and a phase-plane. From this phase-plane, a classic model of the Holling–Tanner type is fitted and its parameters were found. Finally, we have studied the stability of the critical points of the Holling–Tanner model.

Suggested Citation

  • da Silva Peixoto, Magda & de Barros, Laécio Carvalho & Bassanezi, Rodney Carlos, 2008. "Predator–prey fuzzy model," Ecological Modelling, Elsevier, vol. 214(1), pages 39-44.
    • Handle: RePEc:eee:ecomod:v:214:y:2008:i:1:p:39-44
    DOI: 10.1016/j.ecolmodel.2008.01.009
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    Cited by:

    1. Pal, D. & Mahapatra, G.S., 2016. "Effect of toxic substance on delayed competitive allelopathic phytoplankton system with varying parameters through stability and bifurcation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 109-124.
    2. Colomer, M. Àngels & Margalida, Antoni & Sanuy, Delfí & Pérez-Jiménez, Mario J., 2011. "A bio-inspired computing model as a new tool for modeling ecosystems: The avian scavengers as a case study," Ecological Modelling, Elsevier, vol. 222(1), pages 33-47.
    3. Renu, & Upadhyay, Ranjit Kumar & Tiwari, S.P. & Yadav, R.P., 2023. "Analysis of interval-valued model for interaction between plankton-fish population in marine ecosystem," Ecological Modelling, Elsevier, vol. 484(C).
    4. Jian Wu, 2019. "Analysis of a Three-Species Stochastic Delay Predator-Prey System with Imprecise Parameters," Methodology and Computing in Applied Probability, Springer, vol. 21(1), pages 43-67, March.

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