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Applied Mathematics and Computation
Volume 135, Issue 1, 15 February 2003, Pages 39-48
 
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doi:10.1016/S0096-3003(01)00300-9    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2002 Elsevier Science Inc. All rights reserved.

Self-limitation, fishing and cannibalism

Francisco J. SolisE-mail The Corresponding Author

CIMAT Apartado Postal 402, Guanajuato Gto, 36000, Mexico

Available online 13 September 2001.

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Abstract

A nonlinear continuous predator–prey model is derived for the dynamics of two interacting populations that includes several factors such as self-limitation on the prey, fishing on the predators and cannibalism in the prey of juveniles by adults. The introduction of these factors can account for several important phenomena concerning the dynamics of both populations that have been discussed and studied in the literature. These factors contribute to result in a viable interaction between the two populations in circumstances when their absence would otherwise result in unstable behavior with unbounded oscillations.

Author Keywords: Prey–predator; Dynamics

Article Outline

1. Introduction
2. The model
3. Numerical results
3.1. Self-limitation of the prey population
3.2. Cannibalism
3.3. Fishing again
4. Conclusions
References





 
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