A STUDY ON THE PERMANENCY OF CYCLIC SYSTEM OF FOUR SPECIES PREDATOR-PREY EQUATIONS
Publish Year: 1397
Type: Conference paper
Language: English
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ICBVPA01_064
Index date: 26 November 2018
A STUDY ON THE PERMANENCY OF CYCLIC SYSTEM OF FOUR SPECIES PREDATOR-PREY EQUATIONS abstract
The topic of mathematical physics was important in the pastcentury. Meanwhile, the present century is related to the mathematicalbiology, mathematical ecology, etc. Regarding the system predator-preyequations is the base of most population models, many researchers wouldlike to study in this area. In this paper, the permanency of a nonlinear fourspecies cyclic predator-prey system will be analyzed. Indeed, in this modeleach species is not only a predator but also a prey. Moreover, the sigmoidaltype functional response is assumed. By using the differential inequalitytheory, we find out some sufficient conditions for the permanency of thesaid system.
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