Self-limitation, fishing and cannibalism

Authors:
Francisco J. Solis
Affiliations:
CIMAT Apartado Postal 402, Guanajuato Gto, 36000 Mexico
Venue:
Applied Mathematics and Computation
Year:
2003

Citing 1
Cited 2

A model for the growth of a population exhibiting stage structure: cannibalism and cooperation

Journal of Computational and Applied Mathematics - Special issue: Oscillations in nonlinear systems: applications and numerical aspects

Self-limitation in a discrete predator-prey model

Mathematical and Computer Modelling: An International Journal
Nonlinear juvenile predation population dynamics

Mathematical and Computer Modelling: An International Journal

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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.