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Traveling Band Solutions in a System Modeling Hunting Cooperation

Author

Listed:
  • Maria Francesca Carfora

    (Istituto per le Applicazioni del Calcolo “Mauro Picone” CNR, 80131 Napoli, Italy)

  • Isabella Torcicollo

    (Istituto per le Applicazioni del Calcolo “Mauro Picone” CNR, 80131 Napoli, Italy)

Abstract

A classical Lotka–Volterra model with the logistical growth of prey-and-hunting cooperation in the functional response of predators to prey was extended by introducing advection terms, which included the velocities of animals. The effect of velocity on the kinetics of the problem was analyzed. In order to examine the band behavior of species over time, traveling wave solutions were introduced, and conditions for the coexistence of both populations and/or extinction were found. Numerical simulations illustrating the obtained results were performed.

Suggested Citation

  • Maria Francesca Carfora & Isabella Torcicollo, 2022. "Traveling Band Solutions in a System Modeling Hunting Cooperation," Mathematics, MDPI, vol. 10(13), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2303-:d:853692
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    References listed on IDEAS

    as
    1. Ezio Di Costanzo & Vincenzo Ingangi & Claudia Angelini & Maria Francesca Carfora & Maria Vincenza Carriero & Roberto Natalini, 2016. "A Macroscopic Mathematical Model for Cell Migration Assays Using a Real-Time Cell Analysis," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-20, September.
    2. Capone, F. & Carfora, M.F. & De Luca, R. & Torcicollo, I., 2019. "Turing patterns in a reaction–diffusion system modeling hunting cooperation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 165(C), pages 172-180.
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    Cited by:

    1. Ye, Yong & Zhao, Yi & Zhou, Jiaying, 2022. "Promotion of cooperation mechanism on the stability of delay-induced host-generalist parasitoid model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).

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