On constant effort harvesting and stocking in a class of predator-prey systems

F. Brauer; A. C. Soudack

doi:10.1016/0022-5193(82)90242-9

On constant effort harvesting and stocking in a class of predator-prey systems

F. Brauer, A. C. Soudack

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19 Scopus citations

Abstract

We analyze the global behaviour of predator-prey systems under constant effort harvesting and stocking of either or both species. Mathematically this is equivalent to the behaviour of an unharvested system with different parameters; in particular every solution tends either to an equilibrium or to a limit cycle, and there is no possibility of finite-time extinction of either species if both populations are positive initially. The dependence of the behaviour on the harvesting efforts is discussed.

Original language	English (US)
Pages (from-to)	247-252
Number of pages	6
Journal	Journal of Theoretical Biology
Volume	95
Issue number	2
DOIs	https://doi.org/10.1016/0022-5193(82)90242-9
State	Published - Mar 21 1982
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1016/0022-5193(82)90242-9

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On constant effort harvesting and stocking in a class of predator-prey systems

Abstract

ASJC Scopus subject areas

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