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  1. Journal of Applied Sciences
  2. Vol 11 (22), 2011
  3. 3717-3724
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Journal of Applied Sciences

Year: 2011 | Volume: 11 | Issue: 22 | Page No.: 3717-3724
DOI: 10.3923/jas.2011.3717.3724

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Authors


Jawdat Alebraheem

Country: Malaysia

Y. Abu Hasan

Country: Malaysia

Keywords


  • coexistence
  • competition
  • extinction
  • kolgomorov-type
  • Prey- predator model
  • stability
Research Article

The Effects of Capture Efficiency on the Coexistence of a Predator in a Two Predators-One Prey Model

Jawdat Alebraheem and Y. Abu Hasan
In this study a mathematical model of two competing predators sharing one prey in homogeneous environment, with Holling type-I functional responses, was introduced. The model was formed by considering logistic law for both prey and predator where prey abundance was used to determine carrying capacity of predators. Stability of the equilibrium points of the system was then studied. The conditions for the persistency which were interpreted as efficiency of search and capture, were then obtained. Numerical simulations showed that the coexistence and extinction of the predators depend on how close the efficiency of searching and capture of the two predators.
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How to cite this article

Jawdat Alebraheem and Y. Abu Hasan, 2011. The Effects of Capture Efficiency on the Coexistence of a Predator in a Two Predators-One Prey Model. Journal of Applied Sciences, 11: 3717-3724.

DOI: 10.3923/jas.2011.3717.3724

URL: https://scialert.net/abstract/?doi=jas.2011.3717.3724

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