Stability analysis of two predators and one prey population model with harvesting in fisheries management

Abstract The discussion is focussed in the interaction between two predators and one prey population model in fishery management. Mathematically model is built by involving harvesting with constant efforts in the two predators and one prey populations. The positive equilibrium point of the model is...

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Bibliographic Details
Published inIOP conference series. Earth and environmental science Vol. 921; no. 1; pp. 12005 - 12012
Main Authors Didiharyono, D, Toaha, S, Kusuma, J, Kasbawati
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2021
Subjects
Equilibrium
Fish harvest
Fish populations
Fisheries
Fisheries management
Fishery management
Mathematical models
Populations
Predator-prey simulation
Predators
Prey
Stability analysis
Stability criteria
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Summary:Abstract The discussion is focussed in the interaction between two predators and one prey population model in fishery management. Mathematically model is built by involving harvesting with constant efforts in the two predators and one prey populations. The positive equilibrium point of the model is analyzed via linearization and Routh-Hurwitz stability criteria. From the analysis, there exists a certain condition that makes the positive equilibrium point is asymptotically stable. The stable equilibrium point is then related to the maximum profit problem. With suitable value of harvesting efforts, the maximum profit is reached and the predator and prey populations remain stable. Finally, a numerical simulation is carried out to find out how much the maximum profit is obtained and to visualize how the trajectories of predator and prey tend to the stable equilibrium point.
ISSN:1755-1307
1755-1315
DOI:10.1088/1755-1315/921/1/012005