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Coexistence in a One‐Predator, Two‐Prey System with Indirect Effects

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  • Renato Colucci

Abstract

We study the dynamics of a one‐predator, two‐prey system in which the predator has an indirect effect on the preys. We show that, in presence of the indirect effect term, the system admits coexistence of the three populations while, if we disregard it, at least one of the populations goes to extinction.

Suggested Citation

  • Renato Colucci, 2013. "Coexistence in a One‐Predator, Two‐Prey System with Indirect Effects," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:625391
    DOI: 10.1155/2013/625391
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    References listed on IDEAS

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    1. Jef Huisman & Franz J. Weissing, 1999. "Biodiversity of plankton by species oscillations and chaos," Nature, Nature, vol. 402(6760), pages 407-410, November.
    2. Florencia Carusela, M. & Momo, Fernando R. & Romanelli, Lilia, 2009. "Competition, predation and coexistence in a three trophic system," Ecological Modelling, Elsevier, vol. 220(19), pages 2349-2352.
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    Cited by:

    1. Renato Colucci & Daniel Nuñez, 2013. "Periodic Orbits for a Three‐Dimensional Biological Differential Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Hui Zhang & Zhihui Ma & Gongnan Xie & Lukun Jia, 2014. "Effects of Behavioral Tactics of Predators on Dynamics of a Predator‐Prey System," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).

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